By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.
This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both, same-side interior angles are formed, and also sum 180º, in other words, they are supplementary angles.
Then:
By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are <em><u>same-side interior angles</u></em>. Because AB and DC are <em><u>parallel</u></em>, the same-side interior angles must be <em><u>supplementary</u></em> by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.
A horizontal shift would be in the form <span><span>f(x±k)</span></span>
Answer:
y^2 - 5y - 4
Step-by-step explanation:
So you want f(y) such that
(y^2-5y+1) - f(y) = 5
Subtract both sides by (y^2-5y+1):
-f(y) = 5 - (y^2-5y+1)
-f(y) = -y^2 + 5y + 4
f(y) = y^2 - 5y - 4
So the polynomial you are looking for is y^2 - 5y - 4
Answer:
32
Step-by-step explanation:
The sequence is going six numbers up each time. For example 2 plus six is 8. 8 plus six is 14. 14 plus six is 20 and so on.
Hello there!
|b| > 2
Solve for the absolute value
We know either b > 2 or b < -2
b > 2
b < -2
Thus,
The correct answer is option A
b < -2 or b > 2