168 = 2L + 1/5L + 1/5L
168 = 12/5L
L = 70
W = 14
The answer is -3/7........................................
1. Use the exterior angle theorem that states that an exterior angle in a triangle is equal to its two remote interior angles.
x+46=84
x=38 degrees
2. There are two parallel lines cut by transversal. We can see a same side interior relationship.
3x-5+90+2x=180
5x=95
x=19 degrees
3. Use exterior angle theorem again.
90+34=x+72
x=52 degrees
Answer:
See below in bold.
Step-by-step explanation:
cos 4x = 2cos^2 2x - 1 = 2 (2 cos^2 x - 1)^2 - 1
and cos 2x = 2 cos^2 x - 1 so we have:
2 ( 2 cos^2 x - 1)^2 - 1 - (2cos^2 x - 1) = 0
2 ( 2 cos^2 x - 1)^2 - 2 cos^2 x = 0
(2 cos^2 x - 1)^2 - cos^2 x = 0
Let c = cos^2 x, then:
(2c - 1)^2 - c = 0
4c^2 - 4c + 1 - c = 0
4c^2 - 5c + 1 = 0
c = 0.25, 1
cos^2 x = 0.25 gives cos x = +/- 0.5
and cos^2 x = 1 gives cos x = +/- 1.
So for x = +/- 1 , x = 0, π.
For cos x = +/- 0.5, x = π/3, 2π/3, 4π3,5π/3.
The line has a constant rate, so this is a linear equation
We move from left to right on the x axis so this line is decreasing
It’s the second option, Linear Decreasing
