Answer:
x=12
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
5x+8x+2x =180
Combine like terms
15x = 180
Divide by 15 on each side
15x/15 =180/15
x=12
45 of a number refers to 180, and 54 refers to 216. So 100 of a number is 400 and 1 of a number is 4. If 54x - 45x = 36, just plug in 4 and double check: 54(4) - 45(4) = 36 or 216 - 180 = 36, which is true.
There are more types of corresponding angles because a line is equal to 180 degrees.
The equation is a circle centered at the origin with radius 8 (sqrt(64))
Therefore, the bounded region is just a quarter circle in the first quadrant.
Riemann Sum: ∑⁸ₓ₋₋₀(y²)Δx=∑⁸ₓ₋₋₀(64-x²)Δx
Definite Integral: ∫₀⁸(y²)dx=∫₀⁸(64-x²)dx
10C9 * (1/5)^9 * (4/5)^1 = 4.096*10^-6
About 4 chances in 1 million.