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.

78 yards

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w)

346 = 2(95+w)

Divide each side by 2

346/2 = 2/2(95+w)

173 = 95+w

Subtract 95 from each side

173-95 = 95+w-95

78 = w