| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.50 |
| Score | 0% | 50% |
Which of the following statements about parallel lines with a transversal is not correct?
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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angles in the same position on different parallel lines are called corresponding 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°).
Solve for y:
3y - 4 > \( \frac{y}{9} \)
| y > \(\frac{8}{11}\) | |
| y > -\(\frac{21}{64}\) | |
| y > 1\(\frac{5}{13}\) | |
| y > -\(\frac{4}{7}\) |
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.
3y - 4 > \( \frac{y}{9} \)
9 x (3y - 4) > y
(9 x 3y) + (9 x -4) > y
27y - 36 > y
27y - 36 - y > 0
27y - y > 36
26y > 36
y > \( \frac{36}{26} \)
y > 1\(\frac{5}{13}\)
The dimensions of this cube are height (h) = 9, length (l) = 3, and width (w) = 9. What is the surface area?
| 52 | |
| 38 | |
| 270 | |
| 450 |
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 3 x 9) + (2 x 9 x 9) + (2 x 3 x 9)
sa = (54) + (162) + (54)
sa = 270
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
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2(π r2) + 2π rh |
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π r2h2 |
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π r2h |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
If a = c = 2, b = d = 8, and the blue angle = 56°, what is the area of this parallelogram?
| 9 | |
| 16 | |
| 27 | |
| 5 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 2 x 8
a = 16