| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.48 |
| Score | 0% | 50% |
On this circle, line segment CD is the:
radius |
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diameter |
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circumference |
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chord |
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).
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°).
Solve for b:
b2 - 10b + 14 = b - 4
| 8 or 7 | |
| -6 or -6 | |
| 2 or 9 | |
| 2 or -5 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
b2 - 10b + 14 = b - 4
b2 - 10b + 14 + 4 = b
b2 - 10b - b + 18 = 0
b2 - 11b + 18 = 0
Next, factor the quadratic equation:
b2 - 11b + 18 = 0
(b - 2)(b - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 2) or (b - 9) must equal zero:
If (b - 2) = 0, b must equal 2
If (b - 9) = 0, b must equal 9
So the solution is that b = 2 or 9
Which of the following statements about a parallelogram is not true?
the perimeter of a parallelogram is the sum of the lengths of all sides |
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a parallelogram is a quadrilateral |
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opposite sides and adjacent angles are equal |
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the area of a parallelogram is base x height |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
Simplify (4a)(4ab) + (9a2)(7b).
| 79ab2 | |
| 47a2b | |
| 79a2b | |
| 128a2b |
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.
(4a)(4ab) + (9a2)(7b)
(4 x 4)(a x a x b) + (9 x 7)(a2 x b)
(16)(a1+1 x b) + (63)(a2b)
16a2b + 63a2b
79a2b