What is the value of x?
Enter your answer in the box.
x =

Step-by-step explanation:

The two triangles are similar and therefore we can set up a proportion

9/(9 + 72) = (3x - 20)/(3x - 20 + 56)       Combine like terms on the right

9/(81) = (3x - 20)/(3x + 36)                      Cross multiply

9(3x + 36) = 81 (3x - 20)                         Remove the brackets.

27x + 324 +1620 = 243x                        Add 1620 to both sides

27x + 324 + 1620 = 243x                       Subtract 27x from both

1944 = 216x                                            divide both sides by 216

x = 9                                  

If you feel comfortable canceling the size of the numbers can be reduced.

9/81 = 1/9

1/9 = (3x - 20)/(3x + 36)

3x + 36 = 9(3x - 20)

3x + 36 = 27x - 180

36 + 180 = 24x

216 = 24x

216/24 = x

x = 9

There is another cancelation possible, but this is simple enough.

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c

hkhkhkhkhkhkhk

step-by-step explanation: