C. 52
Work:
(5x - 22) + (4x + 4) = 90
9x - 18 = 90
9x = 108
x = 12
4(12) + 4 =
48 + 4 = 52
8x-5 would be the largest angle because as you approach a larger and larger x value, 8x-5 will skyrocket past the other two. Also when you plug in a low value like 1, 8x-5=3, which is still higher than the other two. The only exception is if you plug in a negative x value which is impossible.
8x-5
1. The area of the full rectangle is 21 * 28 = 588. We will need this later.
Like you drew, there is an imaginary triangle missing. We can find the dimensions of it by subtracting from the given information. The shorter leg of it is 21 - 12 = 9, the longer leg is 28 - 14 = 14.
Now we find the area of the triangle. Area of a triangle is 1/2 * base * height. So 1/2 * 9 * 14 = 1/2 * 126 = 63.
Now we do the full area of 588 minus the area of the missing triangle piece.
588 - 63 = 525 ft²
2. Do the area of the rectangle and then this time add on the area of the triangle. 7 * 15 = 105. Area of the triangle = 1/2 * 2 * 7 = 1/2 * 14 = 7.
105 + 7 = 112 in²
All triangles must have angles that add up to the same amount of degrees, so if the two triangles share one exact point, it is assumed that those angles would be the same. Basically just use the fact that the sides are the same and marked by dashes, and the missing line can be proven with the use of the angles that are in between the point that both share.
Answer:
3/4
Step-by-step explanation:
plug values in for x till you get it right
