| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
The dimensions of this trapezoid are a = 5, b = 8, c = 8, d = 7, and h = 3. What is the area?
| 15 | |
| 34 | |
| 8 | |
| 22\(\frac{1}{2}\) |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(8 + 7)(3)
a = ½(15)(3)
a = ½(45) = \( \frac{45}{2} \)
a = 22\(\frac{1}{2}\)
On this circle, line segment AB is the:
circumference |
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radius |
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diameter |
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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).
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
acute, obtuse |
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vertical, supplementary |
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supplementary, vertical |
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obtuse, acute |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
Simplify (2a)(3ab) + (9a2)(2b).
| 55a2b | |
| 24a2b | |
| 24ab2 | |
| 12ab2 |
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.
(2a)(3ab) + (9a2)(2b)
(2 x 3)(a x a x b) + (9 x 2)(a2 x b)
(6)(a1+1 x b) + (18)(a2b)
6a2b + 18a2b
24a2b
Solve for b:
-2b + 2 < 6 + 2b
| b < -1 | |
| b < -3\(\frac{1}{2}\) | |
| b < \(\frac{7}{8}\) | |
| b < 2 |
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 < sign and the answer on the other.
-2b + 2 < 6 + 2b
-2b < 6 + 2b - 2
-2b - 2b < 6 - 2
-4b < 4
b < \( \frac{4}{-4} \)
b < -1