find x.
write your answer as an integer or as a decimal rounded to the nearest tenth.
x =
submit
work it out

Question

Accepted Answer

# Explanation:
## Step1: Find the measure of angle $ W $
The sum of angles in a triangle is $ 180^{\circ} $.
$$
\begin{align*}
\angle W&=180^{\circ}-(53^{\circ} + 86^{\circ})\
&=180^{\circ}-139^{\circ}\
&=41^{\circ}
\end{align*}
$$
## Step2: Apply the Law of Sines
The Law of Sines states that $\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$.
For triangle $ VXW $, $\frac{x}{\sin53^{\circ}}=\frac{12}{\sin41^{\circ}}$.
$$
\begin{align*}
x&=\frac{12\times\sin53^{\circ}}{\sin41^{\circ}}\
\sin53^{\circ}&\approx0.7986,\sin41^{\circ}\approx0.6561\
x&=\frac{12\times0.7986}{0.6561}\
x&=\frac{9.5832}{0.6561}\
x&\approx14.6
\end{align*}
$$

# Answer:
$14.6$

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QUESTION IMAGE

Question

Explanation:

Step1: Find the measure of angle \( W \)

Step2: Apply the Law of Sines

Answer: