| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
If a = c = 3, b = d = 4, and the blue angle = 53°, what is the area of this parallelogram?
| 45 | |
| 36 | |
| 12 | |
| 32 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 3 x 4
a = 12
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
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right, obtuse, acute |
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acute, right, obtuse |
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acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
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squaring |
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normalizing |
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factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
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vertical, supplementary |
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obtuse, acute |
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acute, obtuse |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
Find the value of b:
b + y = -3
-3b + 5y = -3
| -1\(\frac{3}{4}\) | |
| -\(\frac{67}{72}\) | |
| \(\frac{1}{4}\) | |
| -1\(\frac{1}{2}\) |
You need to find the value of b so solve the first equation in terms of y:
b + y = -3
y = -3 - b
then substitute the result (-3 - 1b) into the second equation:
-3b + 5(-3 - b) = -3
-3b + (5 x -3) + (5 x -b) = -3
-3b - 15 - 5b = -3
-3b - 5b = -3 + 15
-8b = 12
b = \( \frac{12}{-8} \)
b = -1\(\frac{1}{2}\)