Answer:
The correct answer is the last one
Let n be the common factor of the two numbers. Then:
5n+7n=168
12n=168
n=14
The first number is 5*14, or 70
The second number is 7*14, or 98
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X and Y are supplementary, that means X + Y = 180.
But we have, X = Y +24, then
X + Y = Y + 24 + Y = 2Y + 24 = 180
Then
2Y = 156
Y = 78
Then X = 78 + 24 = 102.
Answer:
C. 115 degrees
Step-by-step explanation:
Angles 6 and 8 are the same so they both have the same degrees
Distribute sum groups
x(x^2 + 4x - 2) - 5(x^2 + 4x - 2)
Distribute
x^3 + 4x^2 - 2x - 5(x^2 + 4x - 2)
Distribute
x^3 + 4x^2 - 2x - (5x^2 + 20x - 10)
Simplify brackets
x^3 + 4x^2 - 2x - 5x^2 - 20x + 10
Collect like terms
x^3 + (4x^2 - 5x^2) + (-2x - 20x) + 10
Simplify
<u>x^3 - x^2 - 22x + 10</u>