Question

solve for x.
x = \square (simplify your answer. type an integer or an improper fraction.)

Explanation:

Step1: Identify Proportional Segments

The figure shows parallel lines cutting a transversal, so the segments are proportional. Thus, $\frac{6}{10} = \frac{x}{8}$.

Step2: Solve for \( x \)

Cross - multiply: \( 10x = 6\times8 \).
Calculate \( 6\times8 = 48 \), so \( 10x = 48 \).
Divide both sides by 10: \( x=\frac{48}{10}=\frac{24}{5} \).

Answer:

\(\frac{24}{5}\)