Question

solve for side or perimeter, similar triangles question solve for x. round your answer to the nearest tenth if necessary. figures are not necessarily drawn to scale. answer attempt 1 out of 3

Explanation:

Step1: Confirm triangle similarity

Triangles have angles 40°, 59°, 81° (sum 180°), so similar by AA.

Step2: Identify corresponding sides

40° opposite: 30 (TRS) and x (VWU); 59° opposite: 40 (TRS) and 22 (VWU).

Step3: Set up proportion

$\frac{30}{x} = \frac{40}{22}$

Step4: Solve for x

$x = \frac{30 \times 22}{40} = 16.5$

Answer:

16.5