| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
The dimensions of this cube are height (h) = 3, length (l) = 5, and width (w) = 5. What is the volume?
| 378 | |
| 75 | |
| 84 | |
| 28 |
The volume of a cube is height x length x width:
v = h x l x w
v = 3 x 5 x 5
v = 75
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
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equal angle |
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right angle |
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parallel |
A trapezoid is a quadrilateral with one set of parallel sides.
Solve 4c - 9c = 6c - 4x + 1 for c in terms of x.
| -1\(\frac{2}{5}\)x + \(\frac{3}{10}\) | |
| -2x + \(\frac{2}{3}\) | |
| \(\frac{1}{12}\)x - \(\frac{2}{3}\) | |
| -2\(\frac{1}{2}\)x - \(\frac{1}{2}\) |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
4c - 9x = 6c - 4x + 1
4c = 6c - 4x + 1 + 9x
4c - 6c = -4x + 1 + 9x
-2c = 5x + 1
c = \( \frac{5x + 1}{-2} \)
c = \( \frac{5x}{-2} \) + \( \frac{1}{-2} \)
c = -2\(\frac{1}{2}\)x - \(\frac{1}{2}\)
Which of the following statements about parallel lines with a transversal is not correct?
all acute angles equal each other |
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angles in the same position on different parallel lines are called corresponding angles |
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all of the angles formed by a transversal are called interior angles |
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same-side interior angles are complementary and equal each other |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).
A quadrilateral is a shape with __________ sides.
5 |
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4 |
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2 |
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3 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.