Question

Find the value of the variable.

Answer 1

z = 20

Explanation:

Assuming the triangles are similar write a proportion between the side lengths to solve for z.

`(9)/(15)=(32-z)/(z)`

To solve for z, multiply the numerator and denominator of each fraction.

9z = 15(32-z)

9z = 480 - 15z

24z = 480

z = 20