| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.47 |
| Score | 0% | 49% |
Which of the following statements about parallel lines with a transversal is not correct?
all acute angles equal each other |
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same-side interior angles are complementary and equal each other |
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all of the angles formed by a transversal are called interior angles |
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angles in the same position on different parallel lines are called corresponding angles |
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) = 9, length (l) = 2, and width (w) = 2. What is the volume?
| 42 | |
| 315 | |
| 105 | |
| 36 |
The volume of a cube is height x length x width:
v = h x l x w
v = 9 x 2 x 2
v = 36
On this circle, line segment CD is the:
radius |
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diameter |
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chord |
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circumference |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
The formula for the area of a circle is which of the following?
c = π r2 |
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c = π r |
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c = π d |
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c = π d2 |
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.
Solve for c:
c2 - 2c + 1 = 0
| 9 or -5 | |
| 9 or -3 | |
| 9 or 5 | |
| 1 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 - 2c + 1 = 0
(c - 1)(c - 1) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, (c - 1) must equal zero:
If (c - 1) = 0, c must equal 1
So the solution is that c = 1