Question

incorrect
your answer is incorrect.
find the length x.

Explanation:

Step1: Identify similar triangles

The two right triangles are similar by AA similarity (shared angle + right angle).

Step2: Set up proportion

The ratio of corresponding sides is equal: $\frac{x}{6} = \frac{4}{4+8}$

Step3: Simplify denominator

$\frac{x}{6} = \frac{4}{12}$

Step4: Simplify the fraction

$\frac{x}{6} = \frac{1}{3}$

Step5: Solve for x

$x = 6 \times \frac{1}{3}$

Answer:

$2$