Question

1. find the value of x.

Explanation:

Step1: Identify similar - triangles

The two sets of parallel lines form similar triangles. The ratios of corresponding sides of similar triangles are equal.

Step2: Set up the proportion

We have the proportion $\frac{4}{6}=\frac{5}{x}$.

Step3: Cross - multiply

Cross - multiplying gives us $4x = 6\times5$.

Step4: Solve for x

$4x=30$, so $x=\frac{30}{4}=7.5$.

Answer:

7.5