By answering the presented question, we may conclude that Therefore, triangle the length of the base AB is approximately 20.88 centimeters.
What precisely is a triangle?A triangle is a closed, double-symmetrical shape composed of three line segments known as sides that intersect at three places known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all factions equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles are fewer than 90 degrees), good (one angle is equal to 90 degrees), or orbicular (all angles are higher than 90 degrees) (all angles greater than 90 degrees). The region of a triangle can be calculated using the formula A = (1/2)bh, where an is the neighbourhood, b is the triangle's base, and h is the triangle's height.
the length of the base AB,
Area = (1/2) * base * height
\(CB^2 = CD^2 + BD^2\\9^2 = x^2 + (AB - x)^2\\81 = x^2 + (AB^2 - 2ABx + x^2)\\AB^2 - 2ABx + 2x^2 = 81\\\)
We also know that the area of the triangle is:
\(46 = (1/2) * AB * CB\\46 = (1/2) * AB * \sqrt(x^2 + 81)\\Now we can solve for AB in terms of x:AB = (2 * 46) / \sqrt(x^2 + 81)\\AB = 92 / \sqrt(x^2 + 81)\\(92 / \sqrt(x^2 + 81))^2 - 2(92 / \sqrt(x^2 + 81))x + 2x^2 = 81\\\)
\(8464 / (x^2 + 81) - (184x) /sqrt(x^2 + 81) + 2x^2 = 81\\8464 - 184x(x^2 + 81) + 2x^2(x^2 + 81) * sqrt(x^2 + 81) = 81(x^2 + 81)\\2x^4 - 181x^2 + 7743 = 0\\x^2 = (181 + \sqrt(181^2 - 427743)) / (2*2)\\x^2 = (181 + sqrt(129961)) / 4\\x^2 = (181 + 361) / 4\\x^2 = 90^2 / 4\\x = 45\sqrt(2) / 2\\\)
\(AB = 92 / \sqrt(x^2 + 81)\\AB = 92 / \sqrt((45sqrt(2) / 2)^2 + 81)\\AB = 92 / \sqrt(4050)\\AB ≈ 20.88 cm\\\)
Therefore, the length of the base AB is approximately 20.88 centimeters.
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Mrs. O'Dell has 8 different
vegetables to plant in her
garden. She wants to divide
her garden into 8 squares. Each
square should be the same size.
Help Mrs. O'Dell divide her
garden into 8 squares. What is
the measurement of each side
of the squares?
The measurement of each of the squares will guarantee Mrs. O'Dell has 8 different squares and they are all the same size are 75 centimeters by 100 centimeters.
How to divide the total area into 8 squares which are the same size?To begin, let's identify the best way to divide the total area. For this, there are 2 options:
Create two rows each with 4 squares = 4 x 2 = 8Create four rows each with 2 squares = 2 x 4 8=Let's use the first pattern:
Length: 3 meters / 4 = 0.75meters or 75 centimetersWidth= 2 meters / 2 = 1 meter or 100 centimetersBased on this, the dimensions for each section should be 75 centimeters by 100 centimeters.
Note: This question is incomplete; here is the missing section:
Dimensions of the garden: 3 meters x 2 meters
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g which equation best captures the following logic: bob will pass the class only if doing all of the following: bob attends all lectures, completes all assignments, passes all exams. inputs: a
P=A AND Z AND E is the equation, when A=1, Z=1, E=1.
The given inputs are:
A=1 indicates attending all lectures.
Z=1 indicates completing all assignments.
E=1 indicates passing all exams.
The AND gate is defined as 0 is called false and 1 is called true, the gate can be in the same way in the logical operators.
If the output is "true" when both inputs are "true.", or the output is "false." when the output is 1 only when both inputs one AND two are 1.
The logic gate of AND gate:
Input A Input B Output
True True True
True False False
False True False
False False False
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Full question:
Which equation best captures the following logic: Bob will pass the class only if doing all of the following: Bob attends all lectures, completes all assignments, and passes all exams.
Inputs: A = 1 indicates attends all lectures, Z = 1 indicates completes all assignments, E = 1 indicates passes all exams
Outputs: P = 1 indicates passes the class
identify an equation in slope-intercept form for the line parallel to y=1/4x-7 that passes through (-2,-6)
Answer:
D. \(y + 6 =- \frac{1}{4} (x+2)\)
Step-by-step explanation:
We are given that a line is parallel to the line y=-1/4x-7 and passes through (-2, -6).
We want to write the equation of this line.
First, we need to know that parallel lines have the same slope.
In y=-1/4x-7, the slope of the line is -1/4; it is also the slope of the line parallel to it.
All of the answers in your system are written in point-slope form, which is \(y-y_1=m(x-x_1)\), where m is the slope and \((x_1, y_1)\) is a point
As we already know the slope and the point, we can plug these values into the formula.
Starting with the slope; as found above, the slope is -1/4. Therefore, the equation will then be:
\(y-y_1=-\frac{1}{4} (x-x_1)\)
Now substitute -2 and -6 as \(x_1\) and \(y_1\) respectively (note: we have NEGATIVE numbers, and SUBTRACTION in the formula, so we will end up subtracting a negative).
\(y--6=-\frac{1}{4} (x--2)\)
We can simplify this to become:
\(y+6=-\frac{1}{4} (x+2)\)
Therefore, D is the answer.
Answer:
y+6= -4(x+2)
Step-by-step explanation:
I need help asap please!!!
The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and
What is sine of angles?he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle. It is defined as the length of the opposite side divided by the length of the hypotenuse
The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360
2∅ 2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720
sin 2∅ = sin0 = 0; Sin90=1; sin180=0; sin240= -0.8660; sin270 = -1;
Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397
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A frequency table for the 60 best batting averages from a baseball league is
shown below. Which of the following histograms best represents the data in
the table?
The correct answer is Graph B
Explanation:
The purpose of histograms is to display visually the frequency of a variable. Additionally, a higher bar represents a higher frequency.
According to this, the correct histogram is graph B because in this the frequencies for each batting average are displayed correctly. For example, the highest bar is related to the average 0.330-0.339, which has the highest frequency (28), this is followed in height by the bar that represents a frequency of 24 and is related to the average 0.340-0.349.
At the same time, the averages 0.320-0.329 and 0.360-0.369 that have a frequency of 2 are represented through the shortest bars, while the average 0.350-0.359 with a frequency of 4 is related to a bar with exactly the double of heigh than those with a frequency of 2.
Answer:
graph B
Step-by-step explanation:
what happened to your screen
What is the surface area?
What is the surface area of G
Answer:
226 cm^2
Step-by-step explanation:
It’s literally a rectangular prism If you put it together. The side with 2 cm and 11 cm , the surface area is 22 and since this is a rectangular prism, that means there is a second of the same kind. Then you get the larges box, since you know that the top side is 11 and the left side is 7, you multiply that * 2 which you then get 154. You add that up with the side that you solved before so 154 + 44 = 198. You then figure out the left side 7 * 2 * 2 (because there are two of them). 28 + 198 = 226 cm^2.
Answer:
226 cm^2
Step-by-step explanation:
11*2 + 7*2 + 7*2 + 11*7 + 11*2 + 7*11
= 22+ 14 +14+ 77+ + 22 + 77
= 226
Each side of a square field is 13 m. Find the distance covered by a man going around the field five times
Step-by-step explanation:
going around the field one time is walking all 4 sides.
so, 4×13 m
going around the field 5 times is walking all 4 sides 5 times.
that means
5×4×13 m = 20×13 = 260 m
NO LINKS!! URGENT HELP PLEASE!!!
11. Write the equation for the graph
This is the same as writing y = sqrt(4(x+5)) - 1
===============================================
Explanation:
The given graph appears to be a square root function.
The marked points on the curve are:
(-4,1)(-1,3)(4,5)Reflect those points over the line y = x. This will have us swap the x and y coordinates.
(-4,1) becomes (1,-4)(-1,3) becomes (3,-1)(4,5) becomes (5,4)Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.
----------
Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).
Plug the coordinates of each point into the template y = ax^2+bx+c.
For instance, plug in x = 1 and y = -4 to get...
y = ax^2+bx+c
-4 = a*1^2+b*1+c
-4 = a+b+c
Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c
Repeat for (5,4) and you should get 4 = 25a+5b+c
We have this system of equations
-4 = a+b+c-1 = 9a+3b+c4 = 25a+5b+cUse substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.
In other words
a = 1/4, b = 1/2, c = -19/4
We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4
----------
Next we complete the square
y = (1/4)x^2+(1/2)x-19/4
y = (1/4)( x^2+2x )-19/4
y = (1/4)( x^2+2x+0 )-19/4
y = (1/4)( x^2+2x+1-1 )-19/4
y = (1/4)( (x^2+2x+1)-1 )-19/4
y = (1/4)( (x+1)^2-1 )-19/4
y = (1/4)(x+1)^2- 1/4 - 19/4
y = (1/4)(x+1)^2 + (-1-19)/4
y = (1/4)(x+1)^2 - 20/4
y = (1/4)(x+1)^2 - 5
The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.
----------
The last batch of steps is to find the inverse.
Swap x and y. Then solve for y.
y = (1/4)(x+1)^2 - 5
x = (1/4)(y+1)^2 - 5
x+5 = (1/4)(y+1)^2
(1/4)(y+1)^2 = x+5
(y+1)^2 = 4(x+5)
y+1 = sqrt(4(x+5))
y = sqrt(4(x+5)) - 1
I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.
You can also use a tool like GeoGebra to verify the answer.
An apartment building has 9 apartments that are being rented. The data shows the monthly rent for each apartment.
$1,710 $1,515 $1,410 $1,435 $1,555 $1,595 $1,690 $1,575 $1,640
Create a stem display for this data.
The stem display for the data, given the monthly rent and the apartment building is:
$14 | 10 15 35
$15 | 15 55 75 95
$16 | 40 90
How to make the stem display ?To create a stem display, we first divide the data into groups of tens. The first group is $ 1400 -$ 1499, the second group is $ 1500 - $1599 , and so on. Next, we write the units digit of each number in the appropriate group.
For example, the number 1,710 is in the $ 1500 - $ 1599 group, so we write a 1 in the 15 column. Finally, we count the number of numbers in each group. There are three numbers in the $ 1400 - $ 1499 group, two numbers in the $ 1500 - $ 1599 group, and three numbers in the $ 1600 - $ 1699 group.
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I have completed everything except for the last box. Can someone please help me on the last box? Thank you for your help!
Answer:
\(2.5\%\)
Step-by-step explanation:
From the Empirical Rule, 95% of the data shown falls between 63 and 95. The other 5% is evenly distributed to each side (since the distribution is bell-shaped), hence there being \(\boxed{2.5\%}\) of scores less than 63.
The directions say to give the approximate percentage which is vague. You may have to input \(3\%\) if it does not accept \(2.5\%\).
Triangle ABC has vertices of A(-6, 7), B(4, -1), and C(-2, -9). Find the length of the median from
A. 4
B. Square Root of 18
C. 8
D. Square Root of 68
Answer:
A
Step-by-step explanation:
To help open up a restaurant, Linda borrowed money from a bank.
She took out a personal, amortized loan for $43,500, at an interest rate of 6.75%, with monthly payments for a term of 8 years.
For each part, do not round any intermediate computations and round your final answers to the nearest cent.
If necessary, refer to the list of financial formulas.
(a) Find Linda's monthly payment.
(b) If Linda pays the monthly payment each month for the full term,
find her total amount to repay the loan.
(c) If Linda pays the monthly payment each month for the full term,
find the total amount of interest she will pay.
(a) Linda's monthly payment is approximately $578.80.
(b) If Linda pays the monthly payment each month for the full term, her total amount to repay the loan is approximately $55,660.80.
(c) If Linda pays the monthly payment each month for the full term, the total amount of interest she will pay is approximately $12,160.80.
Let's break down the calculation into the following steps:
(a) Monthly Payment Calculation:
To calculate the monthly payment, we can use the formula:
Monthly Payment = P × (r × (1 + r)ⁿ) / ((1 + r)ⁿ - 1)
Where:
P = Principal amount of the loan
r = Monthly interest rate (annual interest rate / 12)
n = Total number of monthly payments (number of years × 12)
Substituting the given values:
P = $43,500
Annual interest rate = 6.75%
r = 0.0675 / 12
n = 8 years × 12
Let's calculate the monthly payment:
r = 0.0675 / 12
= 0.005625
n = 8 × 12
= 96
Monthly Payment = $43,500 × (0.005625 × (1 + 0.005625)⁹⁶) / ((1 + 0.005625)⁹⁶ - 1)
Using a financial calculator or spreadsheet software, the monthly payment is approximately $578.80.
Total Amount Repaid Calculation:
The total amount repaid is equal to the monthly payment multiplied by the total number of payments (n).
Total Amount Repaid = Monthly Payment × n
Total Amount Repaid = $578.80 × 96
Using a financial calculator or spreadsheet software, the total amount repaid is approximately $55,660.80.
Total Interest Paid Calculation:
The total interest paid can be calculated by subtracting the principal amount (P) from the total amount repaid.
Total Interest Paid = Total Amount Repaid - P
Total Interest Paid = $55,660.80 - $43,500
Using a financial calculator or spreadsheet software, the total interest paid is approximately $12,160.80.
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Please solve. Thank you,
By using concept of translation, it can be inferred that-
a) \(\angle P \ and \ \angle H\) has the same measure as \(\angle V\)
b) If, WX is parallel to YZ, then IJ is parallel to KL
What is translation?
Translation is a transformation which changes the position of an object without changing the shape and size of the object.
Part A
PQRST is obtained by flipping of VWXYZ
So, \(\angle P = \angle V\)
HIJKL is obtained by translation of PQRST
So, \(\angle H = \angle V\)
So \(\angle P \ and \ \angle H\) has the same measure as \(\angle V\)
Part B
HIJKL is obtained by translation of PQRST
In translation, there is no change in shape and size
If, WX is parallel to YZ, then IJ is parallel to KL
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589,203 in expanded notation
Standard Form: 589,203
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form: 589,203
= 500,000 + 80,000 + 9,000 + 200 + 0 + 3
Expanded Factors Form: 589,203
= 5 × 100,000 + 8 × 10,000 + 9 × 1,000 + 2 × 100 + 0 × 10 + 3 × 1
Expanded Exponential Form: 589,203
5 × 105 + 8 × 104 + 9 × 103 + 2 × 102 + 0 × 101 + 3 × 100
Sorry if i was not helpful hope this helps !
Consider a given function.
find a and b .
The values of a and b, considering the range of the function, are given as follows:
a = -3.b = 4.What is the range of a function?The range of a function is the set that contains all the output values that can be assumed by the function.
Hence, considering the graph, the range of a function is given by the values of y from the graph.
The minimum and maximum value of the function are given as follows:
Minimum of -3.Maximum of 4.Hence the values of a and b are given as follows:
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An oil company has a cylindrical drum with a capacity of 806 cubic yards. To construct this drum, the
cost of material for the top of the drum is $2 per square yard, $2 per square yard for the bottom of
the drum, and $17 per square yard for the side wall of the drum. What dimensions must this
cylindrical drum have to be constructed at minimum cost?
The measurements of the cylindrical (round and hollow) drum that minimize the fetched of development are roughly 10.19 yards by 2.46 yards.
How to Solve the Problem?Let's expect that the round and hollow drum includes a stature of h and a span of r.
The volume of a barrel is given by: V = πr^2h.
We know that the drum includes a capacity of 806 cubic yards, so able to compose:
πr^2h = 806
We need to play down the taken a toll of building the drum, which is given by the entirety of the fetched of the beat, foot, and side divider.
The zone of the beat and foot of the drum is given by: A = πr^2.
The fetched of fabric for the beat and foot is $2 per square yard, so the taken a toll of the best and foot is:
C_topbottom = 2A = 2πr^2
The cost of fabric for the side divider is $17 per square yard, and the region of the side divider is given by:
A_side = 2πrh
The whole fetched of building the drum is in this manner:
C = C_topbottom + C_side = 2πr^2 + 17(2πrh) = 2πr^2 + 34πrh
Presently we are able utilize the condition for the volume of the drum to kill h from the fetched condition:
h = 806/(πr^2)
Substituting this expression for h into the taken a toll condition, we get:
C = 2πr^2 + 34πr(806/(πr^2)) = 2πr^2 + 27404/r
To discover the least fetched, we got to take the subordinate of the fetched condition with regard to r and set it rise to to zero:
dC/dr = 4πr - 27404/r^2 =
Fathoming for r, we get:
r = (27404/(4π))^(1/3) ≈ 10.19 yards
Substituting this esteem of r back into the expression for h, we get:
h = 806/(π(10.19)^2) ≈ 2.46 yards
Hence, the measurements of the round and hollow drum that minimize the fetched of development are roughly:
Span: 10.19 yards
Stature: 2.46 yards
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Sketch an angle θ in standard position such that θ has the least possible positive measure, and the point (0,-2) is on the terminal side of θ. Then find the values of the six trignometric functions for the angle. Rationalize deniminators is applicable. Do not use a calculator.
Find sin θ, cos θ, tan θ, csc θ, sec θ, and cot θ.
If it is undefined, say undefined.
The values of the six trignometric functions for the angle are
Sinθ = Sin(3π/2) = -1Cosθ = Cos(3π/2) = 0tanθ = tan(3π/2) = undefined Cotθ = Cot(3π/2) = 0Cscθ = Csc(3π/2) = 1Secθ = Sec(3π/2) = undefinedThe above sketch an angle θ in standard position such that θ has the least possible positive measure, and the point (0,-2) is on the terminal side of θ. We have to determine the value of six
triganomertric functions at angle θ. As we see at terminal side point (0,-2) the value of angle θ = 3π/2. The six trigonometric functions are sine, cosine , secant , cosecant , tangent , cotangent .
Now, Sinθ = Sin(3π/2) = Sin( π + π/2)= Sin ( 180° + π/2) = - sin(π/2) ( since, 180° + θ represents 3rd quadrant where sinθ is negative)
=> Sinθ = - 1
Cosθ = Cos(3π/2) = Cos( π + π/2)= Cos( 180° + π/2) = - Cos(π/2) ( since, 180° + θ represents 3rd quadrant where cosθ is negative)
=> Cosθ = Cos(π/2) = 0
tanθ = tan (3π/2) = tan( π + π/2)= tan( 180° + π/2) = - tan(π/2) ( since, 180° + θ represents 3rd quadrant where tanθ is positive)
=> tanθ = - sin(π/2)/cos(π/2) = 1/0
= undefined
Cscθ = Csc(3π/2) = Csc( π + π/2)= Csc( 180° + π/2) = - Csc(π/2) ( since, 180° + θ represents 3rd quadrant where cscθ is negative)
=> Cscθ = - Csc (π/2) = - 1/sin(π/2) = 1
Secθ = Sec(3π/2) = Se( π + π/2)= Sec( 180° + π/2) = - Sec(π/2) ( since, 180° + θ represents 3rd quadrant where secθ is negative)
=> Secθ = -Sec(π/2) = -1/cos(π/2) = - 1/0
= undefined
Cotθ = Cot(3π/2) = Cot( π + π/2)= Cot( 180° + π/2) = Cot(π/2) ( since, 180° + θ represents 3rd quadrant where cotθ is positive)
=> Cotθ = cot(π/2) = Cos(π/2)/sin(π/2) = 0
Hence, we determined all required triganomertric functions value for θ=3π/2.
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The six trignometric functions' values for the angle are
Tan = tan(3/2) = undefined, Sin = Sin(3/2) = -1, Cos = Cos(3/2) = 0, and vice versa.
Cot = Cot(3/2), Csc = Csc(3/2), and Sec = Sec(3/2), respectively.
The above drawing shows an angle in standard position with the point (0,-2) on the angle's terminal side and the smallest positive measure achievable. We must calculate the value of six.
Triganomertric operates at an angle. As can be seen, the angle's value is 3/2 at the terminal side point (0,-2). In trigonometry, there are six different functions: sine, cosine, secant, cosecant, tangent, and cotangent.
At this point, Sin = Sin(3/2) = Sin( + /2)
= Sin ( 180° + π/2) Since 180° + denotes the third quadrant, where sin is negative, the expression is equal to - sin(/2).
=> Sinθ = - 1
Cos is equal to Cos(3/2) = Cos(+/2)
because 180 degrees, = Cos(180° + /2) = - Cos(/2)
Since 180° + denotes the third quadrant, where cos is negative, the equation is Cos(180° + /2) = - Cos(/2).
Hence, Cos = Cos(/2) = 0.
Tan is equal to Tan (3/2) = Tan (+/2)
= tan( 180° + π/2) Since 180° + denotes the third quadrant, where tan is positive, the expression is = - tan(/2).
Consequently, tan = - sin(/2)/cos(/2) = 1/0
not defined
Csc is equal to Csc(3/2) = Csc(+/2)
Since 180° + represents the third quadrant, where csc is negative, Csc(180° + /2) = - Csc(/2)
=> 1/sin(/2) = 1 = Csc = - Csc (/2)
Se( + /2) = Se( = Sec(3/2)
Since 180° + represents the third quadrant, where sec is negative, sec(180° + /2) = - Sec(/2)
The formula is: Sec = -Sec(/2) = -1/cos(/2) = -1/0.
not defined
Cot = Cot(3/2), which equals Cot(+/2)
Since 180° + denotes the third quadrant, where cot is positive, the equation is Cot(180° + /2) = Cot(/2).
Consequently, Cot = Cot(2/2) = Cos(2/2)/sin(2/2) = 0
As a result, we calculated the values for all necessary triganomertric functions for 3/2.
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The vertices of figure PQRS are translated to form figure P'Q'R'S'. Select all the statements that describe the two figures. Q S R P' S' Q' 'R
the anawer choices are : A. P Q R S is the preimage of PQRS, B. the two figures are congruent, C. the two figures are in different positions , but have the same orientation, D. the two figures are in different positions and have oppsoite orientation , E. corresponding angles and sides of the figures have the same measures.
The true statements are:
(B) Both figures are congurent.
(C) The two figures have the same orientation but different positions.
(E) Corresponding angles and sides have the same measures.
What is orientation?In geometry, how an item is positioned in the space it occupies—such as a line, plane, or rigid body—is described in terms of its orientation, angular position, attitude, bearing, and direction.
It refers more particularly to the fictitious rotation required to shift an object from a reference placement to its present location.
To get to the current positioning, a rotation might not be sufficient.
It could be required to include a fictitious translation known as the object's location (or position, or linear position).
Together, the position and orientation completely explain where the object is situated in space.
Therefore, the true statements are:
(B) Both figures are congurent.
(C) The two figures have the same orientation but different positions.
(E) Corresponding angles and sides have the same measures.
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Which triangles are similar to △A, B, C? Triangle. Side A C has a side length of eight. Side length A B has a side length of five. Side length B C has a side length of seven. Triangle A B C. Side A C has a side length of eight. Side length A B has a side length of five. Side length B C has a side length of seven. Choose 1 answer: Choose 1 answer: (Choice A) Triangle D E F. Side D E has a side length of ten. Side length E F has a side length of ten. Side length D F has a side length of ten. △ D, E, F . Side D E has a side length of ten. Side length E F has a side length of ten. Side length D F has a side length of ten. △ � Triangle G H I. Side G H has a side length of six. Side length H I has a side length of nine. Side length G I has a side length of ten. △ G, H, I only B Triangle G H I. Side G H has a side length of six. Side length H I has a side length of nine. Side length G I has a side length of ten. △ , I only (Choice C) Both (Choice D) Neither
its the geometry - Similarity : unit test / high school
The triangle similarity can be proven by three methods, and the AA similarity postulate states that two triangles are similar if and only if their corresponding angles are congruent.
If they have the same shape but different sizes. This is what is known as similarity. In mathematics, there are three ways to prove that two triangles are similar: AA, SAS, and SSS.
In the case of AA similarity postulate, two triangles are similar if and only if two corresponding angles are congruent, meaning they have the same degree measure.
Similarly, if triangle ABC is similar to triangle JKL by AA similarity postulate, it means that the corresponding angles of both triangles are congruent.
Therefore, it is possible that triangle ABC is similar to one or more of the triangles given, but it is not possible to say without further information such as the angles and lengths of the sides.
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Complete Question:
Define triangle is △ABC similar to Similarity property and why?
Which triangle is △abc similar to and why? responses △abc is similar to △ghi by aa similarity postulate. triangle a b c, is similar to , triangle g h i, by , , a a similarity postulate, ., △abc is similar to △jkl by aa similarity postulate. triangle a b c, is similar to , triangle j k l, by , , a a similarity postulate, , . △abc is similar to △def by aa similarity postulate. triangle a b c, is similar to , triangle d e f, by , , a a similarity postulate, , . △abc is not similar to any of the triangles given.
Calculate: x/y = z/100
y= 137
x = 86.33
What is z?
The value of z is 8633/137 or 63.01, approximately.
Step-by-step explanation:1. Write the expression.\(\frac{x}{y} =\frac{z}{100}\)
2. Multiply both sides of the equaton by "100".\(\frac{x}{y}*100 =\frac{z}{100}*100\\ \\100\frac{x}{y} =z\\ \\z=100\frac{x}{y}\)
3. Substitute "x" and "y" by the given values and calculate "z".\(z=100\frac{(86.33)}{(137)}\\ \\z=\frac{8633}{137}=63.01\)
4. Verify using the exact value of "z".If the calculated value of "z" is correct, then the original equation should return the same value on both sides of the equal symbol (=) when substiting all the variables by their respective value.
\(\frac{86.33}{137} =\frac{\frac{8633}{137}}{100}\\ \\0.63=0.63\)
That's correct!
Hence, the value of z is 8633/137 or 63.01.
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The Variance Inflationary Factor (VIF) measures the: a. correlation of the X variables with the Y variable. b. correlation of the X variables with each other. c. standard deviation of the slope. d. contribution of each X variable with the Y variable after all other X variables are included in the model. e. both a and b.
The X variables have an overall correlation of 0. VIF, or Variance Inflationary Factor, measures the
How much of an inflation variance factor is there?Regression analysis's level of multicollinearity is gauged by a variance inflation factor, or VIF. When several independent variables in some kind of a model with multiple regression correlate with one another, this is known as multicollinearity. The regression findings may be significantly impacted by this.
How high of a VIF is that?Greater correlation between the variable and other variables is indicated by a higher value. With values of Ten or more being considered very high, values greater than 4 or 5 are occasionally considered to be moderate to high.
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Which expression has a value less than 1?
12
A
B
C
Der
3 3 3 34
4
X
х х
X
X
4
4|44| w/ a W/A
3
oner she uses.
- bons zinib pri sa
Sainhb asl
1 teaspoon of water
Answer:
2 /5 equal to 56. answer 340
Find the equation of the line passing through the point (−5,−9) and parallel to the line y=3x+2 .
Answer:
Root:(-⅗,0)
vertical intercept:(0,5)
Step-by-step explanation:
18 At the toy store you can get 1 board games for $22.96. Online the price for 6 board games is $33.60. Which place has the highest price for a board game?
Answer:
The toy store has the higher price
Step-by-step explanation:
if you can get 6 games online for $33.60 that would be $5.60 per game. If you buy from the toy store it would cost $17.36 more than online
Example
In rectangle PRST, ST and RT are extended as shown.
What is mLUTV?
Since LPTS is a right angle, LPTR and
LRTS are complementary angles.
x + (2x-57) = 90
3x - 57 = 90
3x = 147
X = 49
So, m/UTV = 41°.
(2x-57)
T
LRTS and LUTV are vertical angles,
so m/UTV = m/RTS.
m/UTV = (2x - 57)°
= [2(49) - 57]⁰°
= 41°
S
Name another pair of complementary angles and another pair of vertical angles
Find m
Nani wait what I don't know
What type of transformation is shown?
Answer:
the third one.
Step-by-step explanation:
clockwise rotation of 90*
Answer:
clockwise rotation of 90 degrees
Step-by-step explanation:
Please put me as brainliest answer :)
6x5x2x3x4x5 please help me anyone I need it
Answer: 3600
Step-by-step explanation:
cdjfbef
the answer is 3600
Step-by-step explanation:
6×5×2×3×4×5
Can you please help me solve?
The zeros of the polynomial function are x = -1 and x = 5
Finding the zeros of the polynomial functionFrom the question, we have the following parameters that can be used in our computation:
y = x⁴ - 4x³ - 4x² - 4x - 5
To calculate the zeros of the polynomial function, we create a graph of the polynomial
The point where the graph intersect with the x-axis are the zeros of the polynomial function
using the above as a guide, we have the following:
Zeros: x = -1 and x = 5
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How many different committees can be formed from 8 teachers and 39 students if the committee consists of 2 teachers and 4 students?
Answer:
Step-by-step explanation:
8 učiteľov 39 študentov
1 výbor = 2 učitelia + 4 študenti
8 učiteľov :2=4
39 študentov :4= 9,75
Takže máme 4 výbory ...viacej to nemôže byť aj keď nám zostávajú študenti pretože je daný počet učiteľov...
Answer: 2303028
Step-by-step explanation:
A shipping company must design a closed rectangular shipping crate with a square base. The volume is 2880ft3. The material for the top and sides costs $3 per square foot and the material for the bottom costs $7 per square foot. Find the dimensions of the crate that will minimize the total cost of material.
The dimensions of the crate that will minimize the total cost of material are 10, 10, and 29.
How to compute the dimension?The volume will be:
= Length × Width × Height
= lwh
For the square base, w = l
2880 = w²h
The cost function will be:
C = 12wl + 4wh + 4lh
Put l = w.
C = 12w² + 8wh
C = 12w² + 8w(2880/w²)
C = 12w² + 23040/w
Differentiate with respect to w
C'(w) = 0
24w = 23040/w²
24w³ = 23040
w³ = 960
w = 10 approximately
The length is 16 as well as they are the same. The height will be:
= 2880/w²
= 2880/10²
= 28.8 = 29
Therefore, the dimensions are 10, 10, and 29.
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