Answer:
z = 20
Step-by-step explanation:
Assuming the triangles are similar write a proportion between the side lengths to solve for z.
[tex]\frac{9}{15}=\frac{32-z}{z}[/tex]
To solve for z, multiply the numerator and denominator of each fraction.
9z = 15(32-z)
9z = 480 - 15z
24z = 480
z = 20
