| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
What is 6a - 9a?
| -3 | |
| -3a | |
| 54a2 | |
| 15a2 |
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.
6a - 9a = -3a
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°).
If a = c = 9, b = d = 10, and the blue angle = 58°, what is the area of this parallelogram?
| 90 | |
| 30 | |
| 35 | |
| 4 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 9 x 10
a = 90
Simplify (6a)(3ab) + (9a2)(2b).
| 36a2b | |
| 99ab2 | |
| 36ab2 | |
| b2 |
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.
(6a)(3ab) + (9a2)(2b)
(6 x 3)(a x a x b) + (9 x 2)(a2 x b)
(18)(a1+1 x b) + (18)(a2b)
18a2b + 18a2b
36a2b
If the base of this triangle is 7 and the height is 2, what is the area?
| 66 | |
| 7 | |
| 42 | |
| 90 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 7 x 2 = \( \frac{14}{2} \) = 7