Answer: 28
Step-by-step explanation:
2.124 + x + y + z + w = 360
x = y
z = w
2x + 2z = 360 - 248
2x + 2z = 112
x + z = 56
x = z
x = y
y = 28
I hope I helped you.
is positive, and we want
to be negative, which together means
is an angle that lies in the fourth quadrant.
Use the Pythagorean identity to solve for
:
![\sin^2\theta+\cos^2\theta=1\implies\sin\theta=-\sqrt{1-\cos^2\theta}=-\dfrac{\sqrt{15}}4](https://tex.z-dn.net/?f=%5Csin%5E2%5Ctheta%2B%5Ccos%5E2%5Ctheta%3D1%5Cimplies%5Csin%5Ctheta%3D-%5Csqrt%7B1-%5Ccos%5E2%5Ctheta%7D%3D-%5Cdfrac%7B%5Csqrt%7B15%7D%7D4)
Then by definition of tangent, we have
![\tan\theta=\dfrac{\sin\theta}{\cos\theta}=\dfrac{-\frac{\sqrt{15}}4}{\frac14}=-\sqrt{15}](https://tex.z-dn.net/?f=%5Ctan%5Ctheta%3D%5Cdfrac%7B%5Csin%5Ctheta%7D%7B%5Ccos%5Ctheta%7D%3D%5Cdfrac%7B-%5Cfrac%7B%5Csqrt%7B15%7D%7D4%7D%7B%5Cfrac14%7D%3D-%5Csqrt%7B15%7D)
F(x)= 32 because if 40 times 4 equals 160, 8 times 4 would equal 32