Question

1. these triangles are similar. find the value of x.

Explanation:

Step1: Set up proportion

For similar triangles, the ratios of corresponding sides are equal. So we have the proportion $\frac{8}{10}=\frac{x}{5}$.

Step2: Cross - multiply

Cross - multiplying gives us $10x = 8\times5$.

Step3: Simplify right - hand side

$8\times5=40$, so the equation becomes $10x = 40$.

Step4: Solve for x

Dividing both sides of the equation by 10, we get $x=\frac{40}{10}=4$.

Answer:

4