Include explanation because im stuck

We need to use law of sin

sin A/a = sin B/b

a is a side opposite to the angle A,

b is a side opposite to the angle B.

We can write

sin 75⁰/22 = sin x/12

sin x = (12*sin 75⁰)/22

x= sin⁻¹((12*sin 75⁰)/22≈ 31.8⁰

x ≈ 31.8⁰

I used the Law of Sines to find this. I set sin75/22 equal to sinx/12. I then multiplied both sides by 12 and got 12sin75/22 is equal to sinx. I then solved 12sin75/22 to get 0.56868 is equal to sinx. I then did sine inverse on both sides to get that the angle of x is about 31.79 degrees.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3