Answer:
They are opposite angles. If you rotate the figure SQM 180 degrees counter clockwise, they will be the exact same triangle and therefore the exact same measure.
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Simplify the numerator:</u>
- 1/x² + 2/y =
- y/(x²y) + 2x²/(x²y) =
- (2x² + y)/(x²y)
<u>Simplify the denominator:</u>
- 5/x - 6/y² =
- 5y²/(xy²) - 6x/(xy²) =
- (5y² - 6x) / (xy²)
<u>Simplify the fraction:</u>
- (2x² + y)/(x²y) ÷ (5y² - 6x) / (xy²) =
- (2x² + y)/(x²y) × xy² / (5y² - 6x) =
- y(2x² + y) / x(5y² - 6x)
<h2><u>Simplification</u></h2>
<h3>Expand and simplify: (-7y - 8) (y - 4)</h3>
To expand an expression, use FOIL method.
<h3><u>F - First</u></h3>
- Multiply the first term in each expression inside the parentheses.
<u>-7y</u> and <u>y</u> are the first terms in <u>each expression</u>.
<u>(-7y)(y) = -7y²</u>
<h3><u>O - Outside </u></h3>
- Next is to multiply the terms outside. (The first term in the first expression and the last term in the second expression)
<u>-7y</u> is the first term in the <u>first expression</u>
<u>-4</u> is the last term of the <u>second expression</u>
<u>(-7y)(-4) = 28y</u>
<h3><u>I - Inside</u></h3>
- The next step is to multiply the terms inside. (The last term in the first expression and the first term in the last expression)
<u>-8</u> is the last term in the <u>first expression</u>
<u>y</u> is the first term in the <u>second expression</u>
<u>(-8)(y) = -8y</u>
<h3><u>L - Last</u></h3>
- Last step is to multiply the last term in each expression.
<u>-8</u> is the last term of the <u>first expression</u>
<u>-4</u> is the last term of the <u>second expression</u>
<u>(-8)(-4) = 32</u>
Combine all simplified terms.
- -7y² + 28y - 8y + 32
- -7y + 20y + 32
<u>Answer:</u>
Wxndy~~
We notice from the choices, that the problem is solved using the Pythagorean theorem somehow. How?
If ABC was a right triangle, the hypotenuse would be BC (the largest side), so the right angle would be A.
In that case we would have 54 squared (which equals 2916) equal to the sum of the squares of 22 and 51 (which equals 3085).
If the triangle was a right triangle,
would be exactly equal to
, but it is larger. This means that a right angle is not large enough to 'enclose'
. Thus angle A must be opened more that 90°.
Thus the answer is D:
an obtuse triangle because
