| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
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acute, obtuse, right |
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right, obtuse, acute |
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right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
The dimensions of this trapezoid are a = 5, b = 9, c = 7, d = 9, and h = 3. What is the area?
| 16 | |
| 27 | |
| 25\(\frac{1}{2}\) | |
| 14 |
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(9 + 9)(3)
a = ½(18)(3)
a = ½(54) = \( \frac{54}{2} \)
a = 27
What is 9a - 4a?
| 5a | |
| a2 | |
| 13 | |
| 36a |
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.
9a - 4a = 5a
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°).
Simplify (8a)(9ab) - (6a2)(7b).
| -30ab2 | |
| 114ab2 | |
| 30a2b | |
| 114a2b |
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.
(8a)(9ab) - (6a2)(7b)
(8 x 9)(a x a x b) - (6 x 7)(a2 x b)
(72)(a1+1 x b) - (42)(a2b)
72a2b - 42a2b
30a2b