Answer:
Step-by-step explanation:
Remark
The angles are marked as alternate interior angles. To be parallel, they must be equal. In other words x - 20 must equal 52. That's all you have to do. Just equate the 2 givens and solve.
Givens
x - 20 is one angle
52 is the other.
Solution
x - 20 = 52 Add 20 to both sides.
x - 20 + 20 = 52 +20 Combine
x = 72
Answer: C
It is neither.
To be even, f(x) must equal f(-x).
If you substitute -x for x, you'd get
y = (-x)^2 - 2(-x) -8
y = x^2 +2x -8
This is not the same as the original, so this is not even.
To be odd, f(x) must equal -f(-x).
If you take the -x substitution from the last step and then multiply it by -1, you'd have:
y = -1 (x^2 +2x -8)
y = -x^2 -2x +8
This is not the same as the original either.
The function is neither even nor odd.
1) Assuming that 1 month is 30 days. We would take 30 (# of days in the month) divided by 4, which would be 7.5. So every 7.5 days ( or 1/4 of a month) she will build 1 1/2 simple machines. so 1 1/2 times 4 equals 6. She will build 6 simple machines each month.
3) D. 6 miles, you would take 60 divided by 6 which is 10, divided by 3/5 which is 6.
1. 
(10m - 14) + 9 = 12 1. Given
2. 5m - 7 + 9 = 12 2. Distributive Property
3. 5m + 2 = 12 3. Simplify (added like terms)
4. 5m = 10 4. Subtraction Property of Equality
5. m = 2 5. Division Property of Equality
