Answer: C) SAS is correct
Check out the diagram below.
We're given BA = BC as shown in red.
The congruent angles are shown in blue. The larger angle is bisected into smaller equal halves.
The red segments are congruent by the reflexive property.
The angles mentioned are between the sides mentioned, so that's why we can use SAS.
what multiplies to -65 and adds to -8
Answer: The two numbers that multiply to -65 and add to -8 are -13 and 5.
Steps: Here are the steps to find two numbers that multiply to -65 and add to -8:
Write down the equation x * y = -65 where x and y are the two numbers you’re looking for.
Write down the equation x + y = -8.
Solve for one of the variables in one of the equations. For example, solving for x in the second equation gives us x = -8 - y.
Substitute this expression for x into the first equation: (-8 - y) * y = -65.
Solve this quadratic equation for y: -y^2 - 8y + 65 = 0.
Use the quadratic formula to find the values of y: y = (-(-8) +/- sqrt((-8)^2 - 4 * (-1) * 65)) / (2 * (-1)).
This gives us two possible values for y: -13 and 5.
Substitute these values back into one of the original equations to find the corresponding values of x. For example, when y = -13, we have x = -8 - (-13) = 5. When y = 5, we have x = -8 - 5 = -13.
So, the two numbers that multiply to -65 and add to -8 are -13 and 5.
What is the range of f?
O -15≤x≤35
Oy > 15
Oy> 35
O all real numbers
The possible values for the range of f(x) are given by:
y > 15.y > 35.all real numbers.What is the range of a function f(x)?The range of a function f(x) is the set that contains all possible output values for the function. Looking at the graph of the function, the range is composed by the values of y.
In this problem, the function is not given, so I can't give you an exact answer, but since the range is composed by the values of y, the first option is not possible, and the possible values for the range of f(x) are given by:
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If a company has a dividend yield of 2.5%, a share price of $18 per share, how much will I receive in dividends if I own 10,000 shares?
Answer: 4500
Step-by-step explanation:
You take the 2.5% and divide it into the 18.
Then you take the answer and divide it into 10000.
You will get 4500
Three pizza are shared equally among 12 people.what fraction of a pizza will each person get?
A
4/1
B
3/1
Answer:
d) 1/12
Step-by-step explanation:
If x is binomially distributed with p=.62 find the following probabilities and round to 4 decimal places
(a) P(11) n=22
(b) P(16) n=25
(c) P(20) n=29
(d) P(8) n=12
(e) P(x>16) n=24
(f) P(x_>11) n=17
(g) P(8_
(h) P(14
Probabilities are used to determine the chances of events
The values of the binomial probabilities are
P(11) = 0.0876P(16) =0.1609P(20) =0.1166P(8) = 0.2254P(x > 16) = 0.2513P(x >= 11) = 0.5161How to evaluate the binomial probabilitiesThe proportion (p) is given as:
p = 0.62
The binomial probability is represented as:
\(P(x) = ^nC_x * p^x * (1 - p)^{n -x}\)
Using the above equation, we have:
(a) P(11) n=22
\(P(11) = ^{22}C_{11} * 0.62^{11} * (1 - 0.62)^{22 -11}\)
\(P(11) = 0.0876\)
(b) P(16) n=25
\(P(16) = ^{25}C_{16} * 0.62^{16} * (1 - 0.62)^{25 -16}\)
\(P(16) =0.1609\)
(c) P(20) n=29
\(P(20) = ^{29}C_{20} * 0.62^{20} * (1 - 0.62)^{29 -20}\)
\(P(20) =0.1166\)
(d) P(8) n=12
\(P(8) = ^{12}C_{8} * 0.62^{8} * (1 - 0.62)^{12 -8\)
\(P(8) = 0.2254\)
(e) P(x>16) n=24
\(P(x > 16) = P(17) + P(18)+....+P(24)\)
\(P(x > 16) = 0.2513\)
(f) P(x_>11) n=17
\(P(x \ge 11) = P(11) + P(12)+....+P(17)\)
\(P(x \ge 11) = 0.5161\)
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HELPPPPP ME PLEASE, I NEED HELP
The area of the trapezium is 84 square meters.
The formula for a trapezium's area must be used to resolve this issue:
Area is equal to (the sum of parallel sides) x (the distance between them) / 2.
In this instance, the parallel sides are 12 metres and 9 metres long, with an 8 metre gap between them. This allows us to enter these values into the formula:
Area =(12 + 9) x 8 / 2
Area = 21 x 8 / 2
Area = 168 / 2
84 square metres of area
As a result, the trapezium has a surface area of 84 square metres.
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what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
A library contains only paperback and hardback books. If the ratio of paperback books to the total number of books is 3 to 5, which statement must be true? The ratio of paperback books to hardback books is 2 to 3. The ratio of paperback books to hardback books is 2 to 3. The ratio of paperback books to hardback books is 3 to 2. The ratio of paperback books to hardback books is 3 to 2. There are exactly 2 paperback books in the library. There are exactly 2 paperback books in the library. There are exactly 8 hardback books in the library. There are exactly 8 hardback books in the library.
Answer:
A library contains only paperback and hardback books. If the ratio of paperback books to the total number of books is 3 to 5, the true statement is:
The ratio of paperback books to hardback books is 3 to 2.
Step-by-step explanation:
The number of books in the library = 5
The number of paperback books in the library = 3
Therefore, the number of hardback books in the library = 2 (5 - 3)
Then, the relationship between the paperback books and the hardback books in the library can be expressed as a ratio of 3:2. This still gives the sum of the ratios as 5, which is the total number of books in the library, including paperback and hardback books.
Let's say Jose deposited $2,700 into a CD account with an Annual Percentage Rate
(APR) of 4%, compounded annually, and he must leave it in the account for at least 5
years.
Answer:
$3283.2
Step-by-step explanation:
Given data
Principal= $2700
Rate= 4%
Time= 5 years
Required
the final Amount A
The compound interest formula is
A=P(1+r)^t
Substitute
A=2700(1+0.04)^5
A=2700(1.04)^5
A=2700*1.216
A=$3283.2
Hence the balance in the account after 5 years is $3283.2
Find two values of θ, 0≤θ<2π, that satisfy the following equation.
Answer:
π/4, 7π/4
Step-by-step explanation:
You want the values of θ in the range 0 ≤ θ ≤ 2π such that cos(θ) = √2/2.
CosineThe cosine function has the value √2/2 for angles ±45° = ±π/4 radians and those angles added to an integer multiple of 2π. In the domain of interest, the angles are ...
θ = π/4 and 7π/4
Sophia went out to eat dinner, and the meal cost $40.00. If Sophia received a 35% discount, what was
total value of the discount?
$12.60
$14.00
$15.20
$16.80
Sub
Answer:
The total value of the discount is $14
Step-by-step explanation:
40 x 0.35 = 14
Sue ate one sweetie one day, and each afterward she ate one sweetie more than she did the day before. How many sweeties did she eat during her first week?
on solving the provided question we can say that - by unitary method we have 12 days.
What is unitary method ?
The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
Sue ate one sweetie one day,
Sue ate 12 sweetie 12 day,
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Solving Equations Containing Percents:
According to the Department of Agriculture, the United States sold $99 billion worth of livestock and poultry products in 1997. of this, 19% was dairy products. What was the value of the dairy products sold by the United States in that year?
The value of the dairy product sold by the united states in the year 1997 is $18.81 billion.
What is the percentage?The percentage is evaluated as the ratio of matter composition to total matter composition multiplied by 100.
Here,
In 1997, the United States sold $99 billion in livestock and poultry products, according to the Department of Agriculture. Dairy products accounted for 19% of this total.
So,
The value of the dairy product is given as,
Value of the dairy product = 19% × 88
= 0.19 × 88
= $18.81
Thus, the value of the dairy product is $18.81 billion.
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Question 2(Multiple Choice Worth 2 points)
(Slope-Intercept Form MC)
The table shown represents a linear relationship.
x 0 1 3 4
y −8 −6 −2 0
Based on the table, what is the equation of the linear relationship in slope-intercept form?
y = 2x − 8
y = 2x + 8
y = −2x + 4
y = −2x − 4
The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.
To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.
By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).
Slope (m) = (change in y) / (change in x)
= (0 - (-8)) / (4 - 0)
= 8 / 4
= 2
Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.
Using the point (0, -8):
-8 = 2(0) + b
b = -8
Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.
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PLEASE ANSWER AS SOON AS POSSIBLE
Answer:
4 to 1
Step-by-step explanation:
Tablespoon of cocoa to Tablespoon of sugar
8 : 2
\(\frac{8}{2}\) : \(\frac{2}{2}\)
4 to 1
When recipe is doubled: ( 8 x 2) to (2 x 2)
16 : 4
\(\frac{16}{4}\) : \(\frac{4}{4}\)
4 to 1
It can be observed that the ratio remains the same
Use the function g(x)=11 to find the following values g(-3), g(5), g(a), g(a+h)
The evaluated function values are g(-3) = 11, g(5) = 11, g(a) = 11 and g(a+h) = 11
Evaluating the function valuesA composite function is a function that results from combining two or more functions. It is created by using the output of one function as the input of another function.
The function g(x) is defined as g(x) = 11, which means that the output of the function is always 11, no matter what value of x is inputted.
i.e. the function g(x) = 11 always returns the value 11, regardless of the input.
Therefore, we have:
g(-3) = 11
g(5) = 11
g(a) = 11
g(a+h) = 11
So, regardless of the value of a or h, the function g(x) will always return 11.
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Find the value of x. Show your reasoning. Round to the nearest tenth.
Answer:
x = 21.7, to the nearest tenth
Step-by-step explanation:
Set your calculator to degree mode.
\( \cos(37) = \frac{17.3}{x} \)
\(x \cos(37) = 17.3\)
\(x = \frac{17.3}{ \cos(37) } = 21.7\)
4. Uncle Royce is 42. What is his target heart rate range?
O 120-180 beats per minute
O 150-200 beats per minute
O116-160 beats per minute
O170-236 beats per minute
Step-by-step explanation:
70 to 85 % of his maximum
Maximum is estimated to be 220 - age = 220 - 42 = 178
70% of this is 125
85 % is 89 151
I believe I would go with the third choice 116-160 bpm
The ratio of the lengths of the sides of â–³ABC is 3:4:6. The perimeter of the triangle whose vertices are the midpoints of the sides of â–³ABC is 13 cm. What are the lengths of the sides of â–³ABC?
The length of the sides of triangle ABC are: 6, 8, and 12.
One of the conditions that two triangles are similar is their Three pairs of corresponding sides are proportional.
In the given problem, the ratio of the sides of triangle ABC is 3 : 4 : 6
Another triangle, let's say triangle DEF, is made with its vertices at midpoints of the sides of triangle ABC.
Hence, all three pairs of corresponding sides have the same proportion.
AB/DE = BC/EF = AC/DF = 1/2
Due to similarity, the ratio of the sides of triangle DEF is also 3 : 4 : 6.
ratio f sides : perimeter = 3 : 4 : 6 : 13
Since its perimeter is 13, it means that the length of sides of triangle DEF are: 3, 4, and 6
Length of the sides of triangle ABC = 2 x length of the sides of Δ DEF
Length of the sides of triangle ABC are: 6, 8, and 12.
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Resuelve la siguiente operación (3/4+1/2):(5/3+1/6)
Answer: 0.6818182
Step-by-step explanation:
Answer:
fhduogherogi
Step-by-step explanation:
-11 = v/8 - 9 Help me solve please
Answer:
v= -16
Step-by-step explanation:
-11 = v/8 - 9
-11=v-72/8
-11*8=v-72
-88=v-72
-88+72=v
v=-16
I’m stuck I need you to do it
Answer: The length of the prism is 8 yards
Step-by-step explanation:
First, take the volume of the prism, divide it by the width (2 1/2). Once you get that divide that answer by height (5 3/4) getting you the length of the prism (8 yards)
Which graph is defined by f(x) = x²-x-2|?
O A.
О в.
OC.
O D.
graph A
graph B
graph C
graph D
Find of area
So can someone explain this to be because I'm a bit confused but an extra help will do the trick
The area of the figure is 96 square inches
How to determine the areaFrom the question, we have the following parameters that can be used in our computation:
The composite figure
The area is the sum of the areas of the individual shapes that make up the figure
Using the above as a guide, we have the following:
Area = 10 * 2 + 10 * 2 + 8 * 7
Evaluate
Area = 96
Hence, the area is 96 square inches
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Jayda is older than her 12-year-old sister. Write an inequality for j, Jayda's age.
The inequality states that Jayda's age (j) is greater than 12 i.e., j > 12.
Let j represent Jayda's age.
Since Jayda is older than her 12-year-old sister, we can write the inequality:
j > 12
Thus, the inequality states that Jayda's age (j) is greater than 12.
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A radioactive substance decays exponentially. A scientist begins with 150 milligrams of a radioactive substance. After 20 hours, 75 mg of the substance remains. How many milligrams will remain after 27 hours?
Answer:
Step-by-step explanation:
Fill in the table using this function rule y= - 2x + 3
Step-by-step explanation:
you just have to put that value in place of x in the function.
don't be so lazy you a hole do it yourself
The with?
The length? Please
I can't answer that because there is no other part to the question
Can someone help me
The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.
How to find the scale factor ?To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.
The side length we will pick is AB which is:
= 6 - 2
= 4 units
The side length of the other triangle is A' B' :
= 3 - 1
= 2 units
The scale factor is:
= 2 / 4
= 1 / 2
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if the cafiteria has 80 coustomers on tuesday, which prediction for tues day is not supported by the data in the table
Answer:
Where is the table?
Step-by-step explanation: