| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
What is the area of a circle with a diameter of 6?
| 9π | |
| 4π | |
| 81π | |
| 3π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π
Which of the following statements about parallel lines with a transversal is not correct?
all acute angles equal each other |
|
angles in the same position on different parallel lines are called corresponding angles |
|
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°).
The dimensions of this cube are height (h) = 4, length (l) = 8, and width (w) = 1. What is the volume?
| 15 | |
| 96 | |
| 80 | |
| 32 |
The volume of a cube is height x length x width:
v = h x l x w
v = 4 x 8 x 1
v = 32
If the base of this triangle is 7 and the height is 4, what is the area?
| 84 | |
| 38\(\frac{1}{2}\) | |
| 14 | |
| 91 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 7 x 4 = \( \frac{28}{2} \) = 14
Simplify 8a x 2b.
| 10ab | |
| 16\( \frac{a}{b} \) | |
| 16ab | |
| 16\( \frac{b}{a} \) |
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 x 2b = (8 x 2) (a x b) = 16ab