I've posted this already but no one is answering so i'm posting for more points.

By the law of sines,

We get one solution by taking the inverse sine:

In this case there is no other solution!

To check: suppose there was. The other solution is obtained by recalling that for all , so that

But remember that the angles in any triangle must sum to 180 degrees in measure. This second "solution" violates this rule, since two of the known angles exceed 180: 75 + 141 = 216 > 180. So you're done.

This triangle is not a right triangle. How do we solve this then? You will use the law of sine with is shown below:

What we know is shown in the image attached below:

Plug what you know into the law of sine

To solve for sinB cross multiply

sin75*33.7 = sinB * 51.2

32.55 = sinB*51.2

Divide 51.2 to both sides to isolate sinB

32.55 / 51.2 = sinB / 51.2

0.63577 = sinB

To find B you must use arcsin:

39.477

^^^This is your rough estimate but you can simply keep it to 39 degrees

This means that your answer is correct!

Hope this helped!

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.