Find x to the nearest tenth

Explanation:

We can find x using the law of sines, but first we need to find the missing angle. Let's call that y for now. The three angles of any triangle add to 180, so,

23+146+y = 180

169+y = 180

y = 180-169

y = 11

The missing interior angle is 11 degrees.

Now we can apply the law of sines.

sin(23)/x = sin(11)/7

7*sin(23) = x*sin(11)

x*sin(11) = 7*sin(23)

x = 7*sin(23)/sin(11)

x = 14.3343236728824

x = 14.3

Make sure your calculator is in degree mode.

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