what value of x will make the triangles similar by the sss similarity theorem?\n1.5\n20\n30\n67.5

Explanation:

Step1: Set up ratio of corresponding sides

Let the ratio of the sides of the two triangles be equal. We can set up the proportion $\frac{x}{45}=\frac{50}{75}$.

Step2: Cross - multiply

Cross - multiplying gives us $75x = 45\times50$.

Step3: Solve for x

First, calculate $45\times50 = 2250$. Then, $x=\frac{2250}{75}=30$.

Answer:

C. 30