What is the value/expression for the side length highlighted in green.

What Is The Value/expression For The Side Length Highlighted In Green.

Answers

Answer 1

Answer:

15

Step-by-step explanation:

The parallel lines divide the transversals proportionally.

The green length = 24 - c , then

[tex]\frac{24-c}{20}[/tex] = [tex]\frac{c}{12}[/tex] ( cross- multiply )

12(24 - c) = 20c ← distribute left side

288 - 12c = 20c ( add 12c to both sides )

288 = 32c ( divide both sides by 32 )

9 = c

Then

green length = 24 - 9 = 15


Related Questions

Find the area. Simplify your answer

Answers

Answer:

man you still have to use IXL

Step-by-step explanation:

2
A pack of 5 of board games costs $75.
If there is a direct proportion between the price (y) and number of board games (2), which equation represents the
situation?
y = 75.2
By = 52
C y = 2
Dy = 152

Answers

Answer:

one board game cost 15 dollars

75/5=15

15y

y = number of board games and 15= the price of each board game

so to calculate any number of board games bought just input the number of board games bought for y in the expression 15y and you will get the price.

Step-by-step explanation:

Find the mean, median, and interquartile for the data set below.
17, 23, 8,5,9,16, 22, 11, 13, 15, 17, 18

Answers

Answer:

The Mean 14.5 and the Median is 15

Step-by-step explanation:

For the Mean you just add all the numbers up and divide on how many you have. And the Median the middle

Answer:

Below in bold.

Step-by-step explanation:

First arrange in ascending order:

5 8 9 11 13 15 16 17 17 18 22 23

Median = mean of the middle 2 values = (15+16)/2 = 15.5.

Mean = Sum of all the values / 12 = 174/12 = 14.5.

Interquartile range =  upper quartile - lower quartile = 17 - 11 = 6.

Find the mean of the picture below?

Answers

The believe mean is four

A cooler shape of a rectangular prism. What is the volume of the cooler? Round to the nearest tenth if necessary.

Answers

Answer:

Volume of the cooler = 2,772 in³

Step-by-step explanation:

Volume of the cooler = length × width × height

Length = 22 in

Width = 12 in

Height = 10 1/2 in

= 21/2

= 10.5 in

Volume of the cooler = length × width × height

= 22 in × 12 in × 10.5 in

= 2,772 in³

Volume of the cooler = 2,772 in³

Help please please help me I really really need help

Answers

Answer:

(-3, -2)

Step-by-step explanation:

To find the solution of two functions, you need to know at which x and y value they are equal. So solve for x and y when 1/3x - 1 = 2x + 4

1/3x - 1 = 2x + 4

First, subtract 2x from both sides.

-5/3x - 1 = 4

Add one to both sides.

-5/3x = 5

Multiply both sides by the reciprocal of -5/3 (3/-5)

x = -3

Then, substitute x into one of the equations to get y.

1/3(-3) - 1

-1 - 1 = -2

So drag the dot to the point (-3, -2)

PLEAASE HEELP! Will mark brainly!!!

Answers

Please repost... picture is all black

Triangle ABC has vertices A(-2,0), B(2,5), C(3, 1). The reflection of the image of triangle ABC is triangle A'B'C' with vertices A(-2,0), B12, -5), C73.
-1). What is a rule that describes the reflection?

Answers

Answer: Reflection about x-axis

Step-by-step explanation:

Given

Initially, vertices are [tex]A(-2,0), B(2,5),C(3,1)[/tex]

After reflection they become [tex]A(-2,0),B(2,-5),C(3,-1)[/tex]

It is clear that the x coordinate remains unchanged and the y coordinate changes its sign. It occurs when reflection is done about the x-axis.

For example, when (a,b) is reflected about the x-axis, it becomes (a,-b).

So, here reflection is being done about the x-axis.

 

In trapezoid ABCD, the measure of

Answers

Answer:

Step-by-step explanation:

PQR has vertices at P(-10, 8), Q(0, -6),
and R(8, 7). If PQR is dilated by a scale
factor of 3/4, what is the perimeter of
P'Q'R'?
If necessary, round your answer to the
nearest hundredth. *

Answers

Answer:

please apply the formula of distance

l think but not sure

A triangle has sides of lengths 12, 14, and 19. Is it a right triangle? Explain.
yes; 122 + 142 192
O no; 122 + 142
192
O no: 122 + 142 + 192
O yes: 122 + 142 =
+ 142 = 192

Answers

Answer:

It is C

Step-by-step explanation:

this is easy math for me

A computer program randomly selects a month of the year. What is the sample space for this experiment?

Answers

Answer:

The sample space of a random experiment is the collection of all possible outcomes. An event associated with a random experiment is a subset of the sample space. The probability of any outcome is a number between 0 and 1.

Step-by-step explanation:

The circumference of a circle is 10 cm. What is the Radius of the circle​

Answers

Answer:

The radius is 5

Step-by-step explanation:

The radius is half the circumference.  Therefore, 10 ÷ 2 = 5.

Answer:

5

Step-by-step explanation:

I belI've it would be 5 um yea

have a great day

∠1 and ∠2 are supplementary angles. ∠1 and ∠3 are vertical angles. If m ∠2=72 degrees, then find m ∠3

Answers

Answer:

m<3 = 108

Step-by-step explanation:

Since <1 and <2 are supplementary, the equation is:

<1 + <2 = 180

Since <1 and <3 are vertical angles. the equation is:

<1 = <3

To find m<3:

<2 + <3 = 180

72 + <3 = 180

<3 = 180 - 72

<3 = 108

The measure of angle ∠3 is 108 degrees.

What is supplementary angle?

Supplementary angles are those angles that sum up to 180 degrees. They don't have to be next to each other, just so long as the total is 180 degrees.

What is vertical angle?

Vertical angles are formed when two lines meet each other at a point. They are always equal to each other.

For the given situation,

∠1 and ∠2 are supplementary angles.

∠1 and ∠3 are vertical angles.

Measure of angle, m ∠2 = 72

From definition, we know that

∠1 + ∠2 = 180 (supplementary angles) ------- (1)

and

∠1 = ∠3 (vertical angles) --------- (2)

From (1) and (2),

⇒ [tex]\angle3 + \angle2 = 180[/tex]

⇒ [tex]\angle3=180-72[/tex]

⇒ [tex]\angle3=108[/tex]

Hence we can conclude that the measure of angle ∠3 is 108 degrees.

Learn more about measurement of angles here

https://brainly.com/question/3027144

#SPJ2

What is the
range of the function on the graph?

Answers

All real numbers.....

A piece of string is 325 centimeters long. You need the string to be 1 and 1 and 4 meters long. How many centimeters should you cut off?

Answers

Here's link[tex]^{}[/tex] to the answer:

bit.[tex]^{}[/tex]ly/3gVQKw3

How would you solve y=3/4x+9

Answers

Answer: i took a screen shot of the answer hope this helped

plz make brainly

Step-by-step explanation:

Solve the Simultaneous Equations: a - b = 3​

Answers

Answer:

it could be 4-1=3 but i would do 10-7=3

Step-by-step explanation:

solve the following inequality algebraically

Answers

Answer is going to be
-7

The scatter plot shows the first-year income for 15 people, based on the number of years of school they each had after high school. A line of best fit
was drawn through the data. The equation for the line is y = 8x + 15.
Which statement describes the meaning of the y-intercept for the line of best fit?

Answers

Answer:

C.

Step-by-step explanation:

the answer is C. because if you notice how on the scattered graph the numbers go from 0-9 and 0-90. on C. it says 0years which will have an income of 8,000 dollars. divide and multiply and then switch flip.

Answer:

c

Step-by-step explanation:

Find the median and mean of the data set below:
9,10,38,0,26,35,8

Answers

Answer:

Median = 10

Mean = 18

Step-by-step explanation:

1) Median equals the middle number of a set.

To find median, place the numbers from least to greatest. So that’ll turn to be:

0, 8, 9, 10, 26, 35, 38

The middle number is 10.

2) Mean is the average of all the numbers.

To find mean, add all the numbers together. So 0+8+9+10+26+35+38 = 126

Then, divide the sum by the amount of numbers you added. We added a total of 7 numbers to get 126. 126/7 = 18. The average is 18.

Answer:

The median is 10 and the mean is 18 . Hope it help

Step-by-step explanation:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest

My brainy brother and sister added their ages together and got 15. When they multiplied their ages together, they got 54. How old is the older one between the two of them?

Answers

Given:

Sum of ages of brother and sister = 15

Product of their ages = 54

To find:

How old is the older one between the two of them?

Solution:

Let x be the age of brother and y be the age of sister.

Sum of ages of brother and sister = 15

[tex]x+y=15[/tex]

[tex]x=15-y[/tex]                ...(i)

Product of their ages = 54

[tex]xy=54[/tex]

[tex](15-y)y=54[/tex]                [Using (i)]

[tex]15y-y^2=54[/tex]

[tex]0=54-15y+y^2[/tex]

Splitting the middle term, we get

[tex]54-15y+y^2=0[/tex]

[tex]54-9y-6y+y^2=0[/tex]

[tex]9(6-y)-y(6-y)=0[/tex]

[tex](6-y)(9-y)=0[/tex]

Using zero product property, we get

[tex](6-y)=0\text{ and }(9-y)=0[/tex]

[tex]y=6\text{ and }y=9[/tex]

If [tex]y=6[/tex], then using (i), we get

[tex]x=15-6[/tex]

[tex]x=9[/tex]

If [tex]y=9[/tex], then using (i), we get

[tex]x=15-9[/tex]

[tex]x=6[/tex]

Therefore, the age of older one is 9, the age of younger one is 6 and the difference between their ages is 3.

PLSS HELP: Find the value of w

Answers

Answer:

[tex] \frac{9}{w} = \frac{15}{5} \\ w = 45 \div 15 = 3[/tex]

Can someone help me with this?

Answers

Answer:

d and e

Step-by-step explanation:

Please help will mark Branliest!! Determine if the problem is a permutation or a combination. Then find the number of possibilities. image attached. This is a combination/permutation and the answer ___.

Answers

Answer:

It is a permutation problem. There are 2193360 possibilities of selecting 4 candidates from 40 applicants when order of selection is considered.

Step-by-step explanation:

In this case, the company will hire four different applicants from a group of 40 people for 4 different jobs. In this case, we need to consider the effect of order in the number of possibilities. Hence, we must use the permutation formula:

[tex]_{n} P_{k} = \frac{n!}{(n-k)!}[/tex] (1)

Where:

[tex]n[/tex] - Total of applicants.

[tex]k[/tex] - Selected applicants.

If we know that [tex]n = 40[/tex] and [tex]k = 4[/tex], then the number of possibilities is:

[tex]_{40}P_{4} = \frac{40!}{(40-4)!}[/tex]

[tex]_{40}P_{4} = 40\times 39 \times 38 \times 37[/tex]

[tex]_{40}P_{4} = 2193360[/tex]

There are 2193360 possibilities of selecting 4 candidates from 40 applicants when order of selection is considered.

HELP PLS!!!

Consider the function f(x). Select all of the following that include a horizontal compression of f(x).
A) 2f(x)
B) f(3x)
C) -f(x)+1
D) f(0.4x) - 1
E) f(6x) +9
F) -f(0.12x)

Answers

Answer: B, E

Step-by-step explanation:

Solve.
a-5/a+4=5/4

a=0
a=-1
a=-9
a=-40

Answers

Answer:

-1

Step-by-step explanation:

hzhsuxbsjsisnduxidnwhdicjdbe

I need help cand someone help me find this answer ​

Answers

Answer:

725.7 m²

Step-by-step explanation:

A=2πrh

r=16 1/2 ÷ 2 = 8 1/4

A= 2π(8.25)(14)=725.7

7) The ratio of boys to girls in a class is 2:3. If there are 18 boys in the class, how
many girls are in that class?

Answers

Answer:

27

Step-by-step explanation:

Boys to girls is 2:3

and there are 18 boys so that means the 2 in 2:3 is actually 18

and 2 x 9 = 18 , so you would need to also multiply 3 by 9.

3 x 9 = 27

18:27

there are 27 girls

According to this diagram, what is tan 62°?

A 17/15
B 8/17
C 15/17
D 8/15
E 17/8
F 15/8

Answers

I believe it would 15/8.

Tangent is Opposite/Adjacent so 15/8
Hope this helps! :)
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