Question

1. (image of a diagram with parallel lines and transversals, showing segments 3, 3.5, x, and 9)

Explanation:

Step1: Identify the proportionality

Since the lines are parallel, the segments are proportional. So we set up the proportion $\frac{3}{3.5}=\frac{x}{9}$.

Step2: Solve for \(x\)

Cross - multiply: \(3.5x = 3\times9\).
Calculate \(3\times9 = 27\), so \(3.5x=27\).
Then \(x=\frac{27}{3.5}=\frac{27\times2}{7}=\frac{54}{7}\approx7.71\) (or keep it as a fraction \(\frac{54}{7}\)).

Answer:

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