| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.67 |
| Score | 0% | 53% |
The dimensions of this trapezoid are a = 6, b = 7, c = 7, d = 7, and h = 4. What is the area?
| 8 | |
| 18 | |
| 28 | |
| 22 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(7 + 7)(4)
a = ½(14)(4)
a = ½(56) = \( \frac{56}{2} \)
a = 28
The endpoints of this line segment are at (-2, -2) and (2, 4). What is the slope of this line?
| -1 | |
| -1\(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) | |
| -2 |
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, -2) and (2, 4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)Solve for a:
-a + 5 > \( \frac{a}{-4} \)
| a > 6\(\frac{2}{3}\) | |
| a > -6\(\frac{1}{8}\) | |
| a > -1\(\frac{4}{5}\) | |
| a > 10\(\frac{4}{5}\) |
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.
-a + 5 > \( \frac{a}{-4} \)
-4 x (-a + 5) > a
(-4 x -a) + (-4 x 5) > a
4a - 20 > a
4a - 20 - a > 0
4a - a > 20
3a > 20
a > \( \frac{20}{3} \)
a > 6\(\frac{2}{3}\)
Which of the following statements about parallel lines with a transversal is not correct?
angles in the same position on different parallel lines are called corresponding angles |
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all acute angles equal each other |
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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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2 |
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3 |
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4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.