Question

these two triangles are similar. what is the measure of x?

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. So, $\frac{18}{30}=\frac{12}{x}=\frac{9}{15}$. We can use $\frac{18}{30}=\frac{12}{x}$.

Step2: Cross - multiply

Cross - multiplying the proportion $\frac{18}{30}=\frac{12}{x}$ gives us $18x = 12\times30$.

Step3: Solve for x

First, calculate $12\times30 = 360$. Then, $x=\frac{360}{18}=20$.

Answer:

$20$