Question

assignment overview 1 deltamath score: 7/8 penalty: none 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

Both triangles have angles 55°, 61°, 64° (AA similarity).

Step2: Apply Law of Sines to similar triangles

In triangle PON: \( \frac{x}{\sin55^\circ} = \frac{30}{\sin64^\circ} \)

Step3: Solve for x

\( x = \frac{30 \cdot \sin55^\circ}{\sin64^\circ} \approx \frac{30 \cdot 0.8192}{0.8988} \approx 27.3 \)

Answer:

27.3