Answer:
x = 8.0 m
Step-by-step explanation:
With the angle presented, I'm assuming you know basic trigonometry. We know cosθ = adj/hyp from SOH CAH TOA. We have angle and hypotenuse, so plugging in those values we get cos(20°) = x / 8.5. Solve for x to get 8.5cos(20°) = 7.987387277 m = 8.0 m.
Answer:
first thing to do is combine like terms
now you would have -x-4=4
this is because you added -6x+5x
now you would add 4 to each side
now you would have-x=8
then you would divide the negative because x has to be positive
now you would have x= -8
that is your answer. if you any questions just ask :D
Step-by-step explanation:
3x + 22 is the equation that represents the perimeter of the triangle. 4x + 10 is the perimeter of the rectangle. Setting the two equal:

and collecting like terms:

We find that the perimeter of both shapes is equal to 11 units.