| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.61 |
| Score | 0% | 52% |
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°).
Solve for b:
7b + 3 = \( \frac{b}{-9} \)
| \(\frac{12}{55}\) | |
| -\(\frac{27}{64}\) | |
| -1\(\frac{4}{5}\) | |
| \(\frac{35}{44}\) |
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 equal sign and the answer on the other.
7b + 3 = \( \frac{b}{-9} \)
-9 x (7b + 3) = b
(-9 x 7b) + (-9 x 3) = b
-63b - 27 = b
-63b - 27 - b = 0
-63b - b = 27
-64b = 27
b = \( \frac{27}{-64} \)
b = -\(\frac{27}{64}\)
Which of the following expressions contains exactly two terms?
monomial |
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polynomial |
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quadratic |
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binomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
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h2 x l2 x w2 |
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lw x wh + lh |
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2lw x 2wh + 2lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
The formula for the area of a circle is which of the following?
c = π d |
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c = π d2 |
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c = π r2 |
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c = π r |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.