Question

Find the value of the variable.

Answer 1

Answer:

z = 20

Step-by-step explanation:

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

$\frac{9}{15}=\frac{32-z}{z}$

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

9z = 15(32-z)

9z = 480 - 15z

24z = 480

z = 20