Question

1. the figures are similar. solve for x. show your proportion and work:

Explanation:

Step1: Set up proportion

Since the figures are similar, the ratios of corresponding sides are equal. We have the proportion $\frac{12.5}{10}=\frac{x}{15}$.

Step2: Cross - multiply

Cross - multiplying gives us $10x = 12.5\times15$.

Step3: Calculate the right - hand side

$12.5\times15=187.5$, so $10x = 187.5$.

Step4: Solve for x

Dividing both sides by 10, we get $x=\frac{187.5}{10}=18.75$.

Answer:

$18.75$