| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.98 |
| Score | 0% | 60% |
A trapezoid is a quadrilateral with one set of __________ sides.
equal angle |
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equal length |
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parallel |
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right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Solve for b:
-2b + 2 > \( \frac{b}{-2} \)
| b > 2\(\frac{2}{17}\) | |
| b > \(\frac{18}{37}\) | |
| b > \(\frac{7}{29}\) | |
| b > 1\(\frac{1}{3}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
-2b + 2 > \( \frac{b}{-2} \)
-2 x (-2b + 2) > b
(-2 x -2b) + (-2 x 2) > b
4b - 4 > b
4b - 4 - b > 0
4b - b > 4
3b > 4
b > \( \frac{4}{3} \)
b > 1\(\frac{1}{3}\)
The endpoints of this line segment are at (-2, 5) and (2, -7). What is the slope-intercept equation for this line?
| y = -3x - 1 | |
| y = 2\(\frac{1}{2}\)x + 3 | |
| y = -1\(\frac{1}{2}\)x - 1 | |
| y = -2x - 2 |
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, 5) and (2, -7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-7.0) - (5.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)Plugging these values into the slope-intercept equation:
y = -3x - 1
The dimensions of this cube are height (h) = 7, length (l) = 7, and width (w) = 4. What is the volume?
| 315 | |
| 24 | |
| 60 | |
| 196 |
The volume of a cube is height x length x width:
v = h x l x w
v = 7 x 7 x 4
v = 196
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
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obtuse, acute |
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supplementary, vertical |
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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).