According to my calculation it should be C: x= 1 and y = - 4
NOTE: I had it right on my online class.
X=22. The supplementary angle is 90°, so the 66° angle, plus (x+2) has to add up to 90° too.
<span> x^2 +(x-4)^2 =20^2</span>
<span> x^2 +(x-4)^2 =400</span>
x^2 +(x-4)^2 -400=0
factor:
2x^2-8x-384=0
Factor the 2 out of 2X^2
2(x-16) (x+12) =0
<span> Divide both sides by 2</span>
(x-16) (x+12) =0
X=16 , x=-12
<span> Number cannot be negative so x=16</span>
If you want to find cosP , since angles Z and P are 2 complementary angles then cosZ is the same as cosP so you say the cosP=sinZ=4/5 (property of 2 complement angles in a right triangle)