Answer:
The angles are supplementary to each other (their sum is 180 degrees)
x = 62°
Step-by-step explanation:
(2x+10) + 46 = 180
subtract 56 from each side
2x = 124
divide both sides by 2
x = 62°
Answer:
80 cups
Step-by-step explanation:
4 x 4 =16
16x 5= 80 cups
Answer:
B. x = 7, y = 4√2
Step-by-step explanation:
Drop a vertical from the upper left corner
This creates a rectangle and a 45-45-90 triangle
The bottom of the rectangle is 3
The legs of the triangle are 4
Therefor
x = 4 + 3
x = 7
For a 45-45-90 triangle
the hypotenuse = leg * √2
y = 4√2
Complete the math in the brackets (4a + 1)
Multiple each term in the brackets by 4a
4a (8a - 4a + 1)
4a (4a + 1)
16a^2 + 4a
The probability of getting a 5 from the first rolling is 1/6. The probability of getting an even number is 1/2 (= 1/6 (for a 2) + 1/6 (for a 4) + 1/6 (for a 6)). As the two rollings are independent, you can just multiply two probability values to come up with a final answer. That is, (1/6)·(1/2) = 1/12.
Note that I did not write this. This answer comes from Wyzant. I am only linking this to you so that you'll get the answer quickly.
