| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.65 |
| Score | 0% | 53% |
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
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quadrilateral |
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triangle |
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rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Which of the following statements about parallel lines with a transversal is not correct?
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 |
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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 |
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°).
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
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π r2h2 |
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π r2h |
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4π r2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
If side a = 7, side b = 4, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{50} \) | |
| \( \sqrt{17} \) | |
| \( \sqrt{10} \) | |
| \( \sqrt{65} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 42
c2 = 49 + 16
c2 = 65
c = \( \sqrt{65} \)
Simplify (5a)(9ab) - (7a2)(3b).
| 66ab2 | |
| 140a2b | |
| 140ab2 | |
| 24a2b |
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.
(5a)(9ab) - (7a2)(3b)
(5 x 9)(a x a x b) - (7 x 3)(a2 x b)
(45)(a1+1 x b) - (21)(a2b)
45a2b - 21a2b
24a2b