Question

trapezoid abcd is similar to rstu. 21. what is the value of x? a. 6.67 b. 15 c. 12 d. 25

Explanation:

Step1: Set up proportion

Since the two trapezoids are similar, the ratios of corresponding sides are equal. We can set up the proportion $\frac{10}{50}=\frac{x}{75}$.

Step2: Cross - multiply

Cross - multiplying gives us $50x = 10\times75$.

Step3: Solve for x

First, calculate $10\times75 = 750$. Then, $x=\frac{750}{50}=15$.

Answer:

B. 15