Answer:
215
Step-by-step explanation:
The 238 taking Finite Math includes those taking Finite Math and Statistics. Subtracting out the 23 who are taking both leaves 215 taking Finite Math only.
check by plugging into both equations
-8+4(3)=4
-8+12=4
4=4
-8+3(3)=1
-8+9=1
1=1
(8,3) is a solution of the system
The answer is 10.5, but don't put 10.5 if it's just asking for the number and not the unit only put (10)!!!
Your are right,

and 2

are solutions.
Of course each of these solutions can be replaced by the same number +k2

(with k being an element of Z) since sin x=sin (x+k2

) with k being an element of Z.
Those are angle measures expressed in radians.
If you translate in degrees you basically have to know that

radian=180 degrees
so

radian=60 degrees and 2

=120 degrees. So this two could be values of theta (A and B).
On top of that

could also be a solution (x+k2

with k=1). This can be translated to 60+360=420 degrees which is solution D.
So C. 240 degrees is the only one that could not be a value of theta.