| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
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right, obtuse, acute |
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acute, obtuse, right |
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right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
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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acute, obtuse |
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obtuse, acute |
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).
The endpoints of this line segment are at (-2, 6) and (2, -4). What is the slope-intercept equation for this line?
| y = x - 2 | |
| y = 1\(\frac{1}{2}\)x - 3 | |
| y = \(\frac{1}{2}\)x + 1 | |
| y = -2\(\frac{1}{2}\)x + 1 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 1. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 6) and (2, -4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)Plugging these values into the slope-intercept equation:
y = -2\(\frac{1}{2}\)x + 1
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
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deconstructing |
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factoring |
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squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
If a = c = 8, b = d = 5, and the blue angle = 54°, what is the area of this parallelogram?
| 9 | |
| 40 | |
| 5 | |
| 35 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 8 x 5
a = 40