T M Which statement indicates that the triangles in each pair are congruent. L K ALMK S ALMT ATMK ATLK ALTKM ALMT ALMK = ATMK
Answers
We have the following:
when two triangles are congruent it is because they are equal, therefore, the answer is:
\(\nabla\text{LMK}\cong\nabla\text{LMT}\)Related Questions
Given that m<2=3x - 11 and m<5 = 7x + 46 use the figure to answer question 1-3
Answers
Applying the relationship of angle pairs, THE VALUE OF X AND THE GIVEN ANGLE MEASURES ARE:
x = 14.5 (Blue)m<5 = 147.5 degrees (Yellow)m<4 = 32.5 degrees (Pink)Given:
m<2 = 3x - 11
m<5 = 7x + 46
Thus, find x:
<2 and <5 are same-side interior angles
Therefore:m<2 + m<5 = 180 degrees (supplementary)
Substitute\(3x - 11 + 7x + 46 = 180\\\)
Collect like terms\(10x +35 = 180\\\\10x = 180 - 35\\\\10x = 145\\\\\mathbf{x = 14.5}\)(Blue)
Find m<5:
Plug in the value of x into 7x + 46
\(m \angle 5 = 7(14.5) + 46\\\\\mathbf{m \angle 5 = 147.5^{\circ}}\)(Yellow)
Find <4:
m<4 = m<2 (vertical angles are congruent)
Substitutem<4 = 3x - 11
Plug in the value of xm<4 = 3(14.5) - 11
m<4 = 32.5 degrees (Pink)
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Simplify the given equation in the attached picture:
\sqrt{29-\sqrt{5}}
Answers
Answer: 2√5 - 3
Step-by-step explanation:
\($$Simplify the following:$\sqrt{29-12 \sqrt{5}}$$$\begin{aligned}&29-12 \sqrt{5}=9-12 \sqrt{5}+20=9-12 \sqrt{5}+4(\sqrt{5})^{2}=(2 \sqrt{5}-3)^{2}: \\&\sqrt{\left((2 \sqrt{5}-3)^{2}\right)}\end{aligned}$$Cancel exponents. $\sqrt{(2 \sqrt{5}-3)^{2}}=2 \sqrt{5}-3$ :\\Answer:$$2 \sqrt{5}-3$$\)
Mrs. Aldridge spilled coffee on her Answer Key and can't see the width of
the rectangle anymore. What would be the width of a rectangle with the
given area (shown in image below)?
x +9
x² + 11x + 18
(My answer is a guess so please show your work if you answer this question!)
thank you:)
Answers
Answer:
x + 2
Step-by-step explanation:
Area = x² + 11x + 18
length = x + 9
width = ?
Area = length x width
Factor the polynomial x² + 11x + 18:
length x width = (x + 9)(x + 2) = x² + 11x + 18
The length is x + 9, therefore the width is x + 2
4 x 32 - 3 + 5 x 2 =
A. 33
B. 43
C. 36
D. 58
E. 34
Answers
Answer: well according 2 me the answer here is 135
Step-by-step explanation:
but unfortunately you don't have it in your choices
3 divided 595 with show of work
Answers
Answer:
3 divided by 595 is 0.00504202
Step-by-step explanation:
Answer:
0.0050420168
Step-by-step explanation:
turn 3 to a decimal, then just divide
3.00 / 595 = 0.0050420168
The sales tax in some places in Texas is 8.25%. Which function
represents the cost of purchasing x dollars of products, including tax?
Answers
Taxes usually increase how much you pay from the purchase price. To find the tax charged on the purchase, multiply the tax rate by the purchase.
$28.38 × 0.0825 = $2.34
The tax charged is $2.34
Work out the sheet below
Answers
Answer:
32cm² is the area of face CFGD.
Step-by-step explanation:
What is a binomial distribution in short and long terms
Answers
Answer:
Binomial distribution summarizes the number of trials, or observations when each trial has the same probability of attaining one particular value. The binomial distribution determines the probability of observing a specified number of successful outcomes in a specified number of trials..
The binomial is a type of distribution that has two possible outcomes (the prefix “bi” means two, or twice). For example, a coin toss has only two possible outcomes: heads or tails and taking a test could have two possible outcomes: pass or fail. A Binomial Distribution shows either (S)uccess or (F)ailure.
Explain how the function y=-1/3|x+2|+5 compares to the function y=|x|
Answers
Answer:
y=-1/3|x+2|+5 is upside down compared to y=|x|, and the slope 1/3 that of y=|x|, the vertex is also shifted left by two units and up by 5.
Step-by-step explanation:
OK for real this is a hard only verified experts can do this!!!!
Answers
The numeric value of the exponential expression in this problem is given by the following option:
A. 2^12.
How to obtain the numeric value of the exponential expression?The exponential expression for this problem is defined as follows:
8^x/2^y.
8 is the third power of 2, hence:
8 = 2^3.
When a term is elevated to two of it's powers, the powers are multiplied, hence:
(2^3)^x = 2^(3x).
Meaning that the exponential expression is then written as follows:
8^x/2^y = 2^(3x)/2^y.
When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:
2^(3x)/2^y = 2^(3x - y).
As stated in the problem, the numeric value of the expression 3x - y is given as follows:
3x - y = 12.
Hence the entire expression is simplified as follows:
2^(3x - y) = 2^12.
Meaning that the correct option is given by option A.
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Answer:A. 2^12.
Step-by-step explanation:i did it and got it right
g natasha is in a class of 30 students that selects 4 leaders. How many ways are there to select the 4 leaders so that natasha is one of the leaders
Answers
Answer:
3,654 different ways.Step-by-step explanation:
If there are 30 students in a class with natasha in the class and natasha is to select four leaders in the class of which she is already part of the selection, this means there are 3 more leaders needed to be selected among the remaining 29 students (natasha being an exception).
Using the combination formula since we are selecting and combination has to do with selection, If r object are to selected from n pool of objects, this can be done in nCr number of ways.
nCr = n!/(n-r)!r!
Sinca natasha is to select 3 more leaders from the remaining 29students, this can be done in 29C3 number of ways.
29C3 = 29!/(29-3)!3!
29C3 = 29!/(26!)!3!
29C3 = 29*28*27*26!/26!3*2
29C3 = 29*28*27/6
29C3 = 3,654 different ways.
This means that there are 3,654 different ways to select the 4 leaders so that natasha is one of the leaders
Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There are 13 red beads, 13 blue beads, 13 green beads, and 13 black beads.
What is the theoretical probability of selecting a blue bead? Write the probability as a fraction in simplest form.
Answers
Answer: \(\dfrac{1}{4}\)
Step-by-step explanation:
Given
The total no of beads is 52
there 13-red,13-blue,13-green, and 13-black
favorable outcomes to select a blue bead is 13
Total outcomes are 52
Probability is given by
\(P=\dfrac{\text{favorable}}{\text{Total outcomes}}\\\\\Rightarrow P=\dfrac{13}{52}=\dfrac{1}{4}\)
Answer: 1/4
Step-by-step explanation:
Which of the following steps were applied to 4ABC obtain 44 BC?
Answers
The correct otion is Option B
Triangle ABC has been shifted 3 unit
Which graph represents points on the polar curve r = –4sin(3θ)?
Answers
The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted
What are Polar coordinates?Polar coordinates describe the position of a point P in the plane by its separation from the origin, r, and the angle formed between the positive x-axis and the line segment leading to P.
To graph the polar curve, we make use of the following representations:
r represents the y-axis
θ represents the x-axis
Polar coordinates can also be extended into three dimensions using the coordinates (ρ, φ, θ), where ρ is the distance from the pole, φ is the angle from the z-axis ( called the co-latitude or zenith and measured from 0 to 180° ) and θ is the angle from the x-axis ( as in the polar coordinates ).
Given data ,
Let the polar curve be represented as A
Now , the polar coordinates is given as
r = -4 sin ( 3θ )
And , To graph the polar curve, we make use of the following representations:
r represents the y-axis
θ represents the x-axis
So , on simplifying , we get
The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted
Hence , the polar curve is r = -4 sin ( 3θ )
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Answer:
D
Step-by-step explanation:
Hue is arranging chairs. She can form 7 rows of a given length with 1 chair left over, or 9 rows of that same length if she gets 15 more chairs. Complete the equation and solve it to find how many chairs are in that row length. In your equation, use the variable x to represent the number of chairs in each row. The equation is + There are chairs in each row.
Answers
The equation that represents this situtation is
\(7x+1=9x-15\)To find the number of chairs in each row, solve the equation for x
\(\begin{gathered} 7x+1=9x-15 \\ 15+1=9x-7x \\ 16=2x \\ \frac{16}{2}=x \\ x=8 \end{gathered}\)There are 8 chairs in each row.
how do you tell if an equation is extraneous or not extraneous
Answers
Answer:
An extraneous solution is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation. Example 1: Solve for x , 1x − 2+1x + 2=4(x − 2)(x + 2) .
In a fifth-grade class at a school, there are two teachers and 25 students. Part A: Suppose that in the rest of the school, there is an identical teacher- to-student ratio. What are two possible numbers of teachers and students at the entire school? Part B: Suppose that five new students join the fifth- grade class. How will that change the teacher to student ratio? Explain why your answer is correct.
Answers
What is the slope of the line that passes through
the points (-8, 8) and (8, –5)?
Answers
Answer:
-13/16
Step-by-step explanation:
slope = rise/run = (-5 - 8)/(8 - (-8)) = -13/16
What the meaning of "a sequence of length n"?
Answers
In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.
What the meaning of "a sequence of length n"?The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."
When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.
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what is the square root of 13y in exponential form
Answers
Answer: 13½
Step-by-step explanation:
Write the tangent, cosine and sine ratios of angles X & Y. Write each answer as a (reduced) fraction. Not a decimal.
Answers
The tangent, cosine and sine ratios of angles X & Y in the reduced faction form is 3/4, 4/5 and 3/5 respectively.
What are the trigonometry ratios?For a right angle triangle, the trigonometry ratios can be given as,
\(\rm \sin \theta=\dfrac{b}{c}\\\rm \cos \theta=\dfrac{a}{c}\\\rm \tan \theta=\dfrac{b}{a}\)
Here, a is base side, b is perpendicular side and c is the hypotenuse side of the triangle.
In the given triangle, the length of base side is 8 units, perpendicular side is 6 units and hypotenuse side is 10 units.
\(a=8\\b=6\\c=10\)
Thus, the tangent, cosine and sine ratios of angles X & Y are,
\(\rm \sin \theta=\dfrac{6}{10}=\dfrac{3}{5}\\\rm \cos \theta=\dfrac{8}{10}=\dfrac{4}{5}\\\rm \tan \theta=\dfrac{6}{8}=\dfrac{3}{4}\)
Thus, the tangent, cosine and sine ratios of angles X & Y in the reduced faction form is 3/4, 4/5 and 3/5 respectively.
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What number does the rectangle represent if each small square represents:
a 1
b 0.1
c 0.01
d 0.001
HELPPPPPP
Answers
Answer:
I'm pretty sure the answer is A.
Step-by-step explanation:
Although I believe that the answer you've provided is incomplete, but the rectangle represents a whole, so the answer is 1.
write the equation of a line that is perpendicular to 2x+4y= 14 a need goes through (4,6)
Answers
This can be simplified to 2x-y = 2
Solving for y leads to y = 2x-2
========================================================
Explanation:
Anything perpendicular to Ax+By = C is of the form Bx-Ay = D
The given equation 2x+4y = 14 tells us that A = 2, B = 4, C = 14.
So Bx-Ay = D updates to 4x-2y = D.
We'll plug in the coordinates of the given point (x,y) = (4,6) to solve for D.
4x-2y = D
D = 4x-2y
D = 4(4)-2(6)
D = 16-12
D = 4
So 4x-2y = D updates to 4x-2y = 4
Optionally, we can divide each term by 2 to go from 4x-2y = 4 to 2x-y = 2
If we wanted to solve for y, then we'd get y = 2x-2
Fill in the blanks below.
Find the slope of the line passing through the points (8,5) and (8,-4).
Answers
Step-by-step explanation:
please mark me as brainlest
riangle ABC with vertices at A(−3, −3), B(3, 3), C(0, 3) is dilated to create triangle A′B′C′ with vertices at A′(−9, −9), B(9, 9), C(0, 9). Determine the scale factor used.
6
one sixth
3
Answers
To find the scale factor used to dilate triangle ABC to triangle A'B'C', we need to compare the corresponding side lengths of the two triangles.
The distance formula can be used to find the lengths of the sides of triangle ABC:
AB = sqrt[(3 - (-3))^2 + (3 - (-3))^2] = sqrt[6^2 + 6^2] = 6sqrt(2)
AC = sqrt[(0 - (-3))^2 + (3 - (-3))^2] = sqrt[3^2 + 6^2] = 3sqrt(5)
BC = sqrt[(3 - 0)^2 + (3 - 3)^2] = 3
Similarly, we can use the distance formula to find the lengths of the sides of triangle A'B'C':
A'B' = sqrt[(9 - (-9))^2 + (9 - (-9))^2] = sqrt[18^2 + 18^2] = 18sqrt(2)
A'C' = sqrt[(0 - (-9))^2 + (9 - (-9))^2] = sqrt[9^2 + 18^2] = 9sqrt(5)
B'C' = sqrt[(9 - 0)^2 + (9 - 3)^2] = sqrt[9^2 + 6^2] = 3sqrt(5)
The scale factor is the ratio of the side lengths of the corresponding sides of the two triangles. For example, the scale factor for side AB is:
AB' / AB = (18sqrt(2)) / (6sqrt(2)) = 3
Similarly, we can find the scale factors for sides AC and BC:
A'C' / AC = (9sqrt(5)) / (3sqrt(5)) = 3
B'C' / BC = (3sqrt(5)) / 3 = sqrt(5)
Since the scale factors for all three pairs of corresponding sides are the same, the scale factor used to dilate triangle ABC to triangle A'B'C' is 3.
Therefore, the answer is 3.
a student has only a few hours to prepare for two different exams tomorrow morning. the above table shows alternative possible exam outcomes with three alternative uses of the student's time. the opportunity cost of scoring an 84 on the history exam rather than 76 is:
Answers
The opportunity cost of scoring a 84 on the economics exam rather than a 76 is 15 points on the History exam.
How to determine the opportunity cost?Opportunity Cost is what a person sacrifices when they choose one option over another. It is calculating by subtracting the return of the best forgone option with the return of the chosen option. The outcome could be beneficial or prejudicial, depending on the case.
In the example (refer to the attached table), if the student chooses to score 94 in the economics exam then the student will get 76 in the History test. Thus, The opportunity cost of getting 94 instead of 77 in the Economics test, implies getting 76 instead of 91 in the History exam. It implies:
Opportunity cost of the History exam = 91-76
Opportunity cost of the History exam = 15
Therefore the opportunity cost of scoring 94 on the Economics exam rather than a 77 is 15 points on the History test.
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The following scatterplot shows two variables, x and y, along with a least-squares model.
Which of the following is a high leverage point with respect to the regression?
A (5,8)(5,8)
B (20,31)(20,31)
C (27,22)(27,22)
D (30,60)(30,60)
E (80,70)
Answers
Answer:
D(30,60)
Step-by-step explanation:
It was way outside the other points that are around the line.
The point (30,60) is a high leverage point on the regression plot.
What is High leverage points?High leverage points are those that are extreme but follow the regression equation's trend.
High leverage points are distinct from outliers, which deviate from the graph's or plot's pattern or trend.
Looking closely at the regression plot, the coordinate (30,60) follows the trend of the plot, however, it is farther from the majority of the points on the graph.
Hence, the point (30,60) is a high leverage point on the regression plot.
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I don't need help but I am giving the answer to everyone :) hope it helps
Answers
The number of cannonballs in illustration is 506.
What is illustration?Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.
The number of cannonballs in the first layer = 1² = 1
Number of cannonballs in the second layer = 2² = 4
Number of cannonballs in the third layer = 3² = 9
So, the generalized formula to count the balls is given as
= n(n + 1) (2n + 1)/ 6
Here, n= the total number of layers
Put n =11
11(11 + 1)(2(11) + 1) / 6
= 11(12)(23)/6
= 3036/6
= 506
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can’t seem to get this any help
A. 27.4
B. 37.3
C. 40.0
D. 42.0
Answers
Answer:
Step-by-step explanation:
In the boys triangle:
\(tanx=\frac{56}{48}\)
\(x=tan^{-1}(\frac{56}{48} )=49.4\textdegree\)
Because triangles are similar:
\(tan 49.8=\frac{h}{32}\)
\(h=32tan49.8 = 37.3\)
Find the inverse for the relation.{ (-5,7), (-6, -8), (1, -2), (10, 3) }
Answers
Answer:
{(7, -5), (-8, -6), (-2, 1), (3, 10)}Step-by-step explanation:
The inverse for the relation (a, b) is (b, a).
Therefore the inverse for the relation
{(-5, 7), (-6, -8), (1, -2), (10, 3)}is
{(7, -5), (-8, -6), (-2, 1), (3, 10)}{(7, -5), (-8, -6), (-2, 1), (3, 10)} is the inverse for the relation { (-5,7), (-6, -8), (1, -2), (10, 3) }.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given, few coordinates { (-5,7), (-6, -8), (1, -2), (10, 3) }
We need to find inverse relation of these coordinates.
Since, The inverse of a relation is a relation obtained by interchanging or swapping the elements or coordinates of each ordered pair in the relation.
Inverse relation in sets can be defined using the ordered pairs. The domain and range of an inverse relation can be written by swapping the domain and range of that relation. That means the domain of relation will be the range of its inverse, and the range of relation will be the domain of its inverse.
The inverse for the relation (a, b) is (b, a).
Therefore, the inverse for the relation { (-5,7), (-6, -8), (1, -2), (10, 3) } is:
{(7, -5), (-8, -6), (-2, 1), (3, 10)}
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