Question

3.

ab or x = __________

Explanation:

Step1: Use the property of similar - triangles

Since the lines are parallel, we can use the property of similar - triangles. The ratios of corresponding sides of similar triangles are equal. We have $\frac{x}{6}=\frac{10}{8}$.

Step2: Solve the proportion for $x$

Cross - multiply to get $8x = 6\times10$, then $8x=60$. Divide both sides by 8: $x=\frac{60}{8}=\frac{15}{2}=7.5$.

Answer:

$7.5$