Me with this geometry question

image attached

32

Step-by-step explanation:

Since AP and BP are tangents from the same point, they are equal. So 2x+12=4x-8. So solving for x, we get 2x=20. So x=10. Plugging that in, we get 20+12=32. So the answer is 32.

sine

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b