#1 would be 45 degrees because you divide 360 by 8.
<span>x + 2y = 2
-x + 3y = 13
As the x-terms of these equations are already opposites, you can begin to solve by elimination by adding the equations together.
</span> x + 2y = 2
-x + 3y = 13
+___________
0 + 5y = 15
y = 3
Now that you have y, substitute its value, 3, into either equation to find x.
x + 2y = 2
x + 2(3) = 2
x + 6 = 2
x = -4
Lastly, check all work by substituting both x- and y-values into both original equations.
x + 2y = 2
-4 + 2(3) = 2
-4 + 6 = 2
2 = 2
-x + 3y = 13
-(-4) + 3(3) = 13
4 + 3(3) = 13
4 + 9 = 13
13 = 13
Answer:
x = -4
y = 3
(-4, 3)
It makes a 74 degree angle.
The sides of the triangle that are given are the side adjacent to the angle the ladder makes with the ground and the hypotenuse of the triangle.
adjacent/hypotenuse is the ratio for cosine:
cos x = 7/25
To solve this, we will take the inverse cosine:
x = cos⁻¹(7/25) = 73.7 = 74
180 degrees - 25 degrees =
A: 155 degrees
*note: 180 degrees total in a triangle
