Question

1. these polygons are similar. find the value of z.

5
10
6
8

Explanation:

Step1: Set up proportion

Since the polygons are similar, the ratios of corresponding - sides are equal. We can set up the proportion $\frac{6}{9}=\frac{z}{15}$.

Step2: Cross - multiply

Cross - multiplying gives us $9z = 6\times15$.

Step3: Calculate the right - hand side

$6\times15 = 90$, so the equation becomes $9z=90$.

Step4: Solve for z

Dividing both sides of the equation $9z = 90$ by 9, we get $z=\frac{90}{9}=10$.

Answer:

10