Question

1. (image of a geometric figure with parallel lines, transversals, segments labeled 3, 3.5, 9, and x)

Explanation:

Step1: Identify Proportional Segments

The figure shows parallel lines cut by transversals, so the segments are proportional. Thus, $\frac{x}{9}=\frac{3}{3.5}$.

Step2: Solve for \( x \)

Cross - multiply: \( 3.5x = 9\times3 \).
Simplify: \( 3.5x = 27 \).
Divide both sides by \( 3.5 \): \( x=\frac{27}{3.5}=\frac{27\times2}{7}=\frac{54}{7}\approx7.71 \) (or keep as a fraction \( \frac{54}{7} \)).

Answer:

\( x = \frac{54}{7}\) (or approximately \( 7.71 \))