Answer:
x = 7, y = 28
Step-by-step explanation:
We're given that ABCD is a rectangle, so we know that all sides opposite from each others are equal in length. This also means that each part of the criss-cross-X thing inside the rectangle are equal in length to each others as well. (AE = BE = DE = CE).
AC = 100 from the given picture, which means half of that from AE would be 50. Since DE is the same length as AE, we can set x²+1 = 50 and solve for x. We get x = 7.
To solve for y, we know that opposite sides of a rectangle are of the same length. So AD = BC.
The question already gave us the equation for those sides so we just need to set them equal to each other.
2y + 5 = 3y - 23
sovle for it and you get y = 28.
