| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.88 |
| Score | 0% | 58% |
If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
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midpoints |
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intersects |
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trisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
The dimensions of this cube are height (h) = 4, length (l) = 4, and width (w) = 2. What is the surface area?
| 64 | |
| 198 | |
| 146 | |
| 22 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 4 x 2) + (2 x 2 x 4) + (2 x 4 x 4)
sa = (16) + (16) + (32)
sa = 64
The endpoints of this line segment are at (-2, -7) and (2, 3). What is the slope of this line?
| -2\(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) | |
| 1 | |
| 3 |
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, -7) and (2, 3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-7.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)Solve for z:
-6z - 8 < 4 - 8z
| z < 2\(\frac{1}{3}\) | |
| z < 6 | |
| z < 1\(\frac{4}{5}\) | |
| z < \(\frac{2}{7}\) |
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.
-6z - 8 < 4 - 8z
-6z < 4 - 8z + 8
-6z + 8z < 4 + 8
2z < 12
z < \( \frac{12}{2} \)
z < 6
A quadrilateral is a shape with __________ sides.
2 |
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3 |
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4 |
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5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.