Question

geometry, measurement, data analysis
similar right triangles
find the length x.

Explanation:

Step1: Set up proportion for similar triangles

Since the two right - triangles are similar, the ratios of their corresponding sides are equal. We have the proportion $\frac{x}{2.5}=\frac{8}{5}$.

Step2: Solve the proportion for x

Cross - multiply to get $5x = 8\times2.5$. Then $5x=20$. Divide both sides by 5: $x=\frac{20}{5}$.

Answer:

4