Question

incorrect
your answer is incorrect.
find the length x.

Explanation:

Step1: Identify similar triangles

The two right triangles are similar (vertical angles are equal, right angles are equal, so AA similarity applies). Corresponding sides are proportional: $\frac{x}{4} = \frac{7}{8}$

Step2: Solve for $x$

Multiply both sides by 4 to isolate $x$.
$x = 4 \times \frac{7}{8}$
Simplify the expression: $x = \frac{28}{8} = \frac{7}{2}$

Answer:

$\frac{7}{2}$ or $3.5$