Question

1. find the value of x.

Explanation:

Step1: Use similar - triangles property

Since the lines are parallel, the two triangles formed are similar. The ratios of corresponding sides are equal. So, we have the proportion $\frac{4}{5}=\frac{6}{x}$.

Step2: Cross - multiply

Cross - multiplying the proportion $\frac{4}{5}=\frac{6}{x}$ gives us $4x = 5\times6$.

Step3: Solve for x

We have $4x=30$, then $x=\frac{30}{4}=7.5$.

Answer:

7.5