Question

find the length x.

Explanation:

Step1: Identify similar triangles

The two right triangles are similar by AA similarity (vertical angles are equal, right angles are equal).

Step2: Set up proportion

Corresponding sides are proportional: $\frac{x}{5} = \frac{3.5}{7}$

Step3: Solve for x

Multiply both sides by 5: $x = 5 \times \frac{3.5}{7}$
Simplify the right-hand side: $x = 5 \times 0.5$

Answer:

$2.5$