Question

1. the trapezoids below are similar. what is the value of x?

6 m
9 m
12 m
answer

Explanation:

Step1: Set up proportion for similar figures

Since the trapezoids are similar, their corresponding sides are proportional. So we have the proportion $\frac{6}{9}=\frac{x}{12}$.

Step2: Cross - multiply to solve for x

Cross - multiplying gives us $9x = 6\times12$. First, calculate $6\times12 = 72$. Then we have the equation $9x=72$.

Step3: Solve for x

Divide both sides of the equation $9x = 72$ by 9. So $x=\frac{72}{9}=8$.

Answer:

8