| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.97 |
| Score | 0% | 59% |
If a = c = 8, b = d = 1, and the blue angle = 61°, what is the area of this parallelogram?
| 20 | |
| 54 | |
| 8 | |
| 4 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 8 x 1
a = 8
Which of the following statements about parallel lines with a transversal is not correct?
same-side interior angles are complementary and 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 acute angles equal each other |
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all of the angles formed by a transversal are called interior angles |
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°).
Simplify (2a)(6ab) + (7a2)(8b).
| -44ab2 | |
| 68a2b | |
| 44ab2 | |
| 120a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(2a)(6ab) + (7a2)(8b)
(2 x 6)(a x a x b) + (7 x 8)(a2 x b)
(12)(a1+1 x b) + (56)(a2b)
12a2b + 56a2b
68a2b
The dimensions of this cube are height (h) = 4, length (l) = 3, and width (w) = 9. What is the surface area?
| 150 | |
| 214 | |
| 342 | |
| 318 |
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 4) + (2 x 3 x 4)
sa = (54) + (72) + (24)
sa = 150
What is 4a - 7a?
| 11 | |
| -3a | |
| -3 | |
| 11a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
4a - 7a = -3a