What are the correct awnsers and please explain how you got them I'm so confused ​

B and C

Step-by-step explanation:

The Sine of an angle is equal to the Cosine of its complement (A complement is an angle when added to the first angle equals 90 degrees.)

Since we know that R is the Right angle then Q will be Angle P's complement.

answer: sine

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4