Question

find the unknown in the figure. a. 9.3 b. 10.7 c. 21

Explanation:

Step1: Set up proportion

Since the two trapezoids are similar, the ratios of their corresponding sides are equal. So we have $\frac{14}{x}=\frac{10}{15}$.

Step2: Cross - multiply

Cross - multiplying gives us $10x = 14\times15$.

Step3: Calculate the right - hand side

$14\times15=210$, so $10x = 210$.

Step4: Solve for x

Dividing both sides by 10, we get $x=\frac{210}{10}=21$.

Answer:

21