Question

rectangle r is a scaled copy of rectangle q. what is the value of x?

Explanation:

Step1: Set up proportion

Since the rectangles are scaled - copies, the ratios of corresponding sides are equal. So, $\frac{30}{x}=\frac{15}{9}$.

Step2: Cross - multiply

Cross - multiplying gives $15x = 30\times9$.

Step3: Simplify right - hand side

$30\times9=270$, so $15x = 270$.

Step4: Solve for x

Dividing both sides by 15, $x=\frac{270}{15}=18$.

Answer:

18