Question

HELP PLEASE A. 51.4 B. 50.0 C. 31.0 D. 39.5 E. None

Answer 1

First, in order to find the length of side w, you must first find the angle W. 
A triangle must be 180 degrees in total. 93 + 37 makes the triangle only have 130 at the moment. 
180 - 130 = 50
So angle W is 50 degrees
Now using this, we can use law of sines.
$\frac{w}{sin50} = \frac{31}{sin37}$
Now multiply sin 50 on both sides. It can be written like so:
$\frac{31sin50}{sin37}$
Now plug this in a calculator. 
Answer is 39.5