Question

5/20 the two triangles are similar, what is the value of x? 7 7.5 8 8.5

Explanation:

Step1: Set up proportion for similar triangles

Since the triangles are similar, the ratios of corresponding sides are equal. So, $\frac{6}{x}=\frac{8}{10}$.

Step2: Solve for x

Cross - multiply: $8x = 6\times10$.
Simplify: $8x = 60$.
Divide both sides by 8: $x=\frac{60}{8}=7.5$.

Answer:

7.5