Question

question 9 of 45 given that the triangles shown below are similar, what is the value of x? a. 5 b. 15 c. 1.8 d. 10

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. $\frac{SA}{DE}=\frac{MA}{LE}$. Substituting the given values, we have $\frac{25}{x}=\frac{15}{3}$.

Step2: Cross - multiply

Cross - multiplying gives us $15x = 25\times3$.

Step3: Solve for x

$15x=75$, then $x=\frac{75}{15}=5$.

Answer:

A. 5