| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.84 |
| Score | 0% | 57% |
The dimensions of this trapezoid are a = 5, b = 7, c = 7, d = 6, and h = 4. What is the area?
| 14 | |
| 26 | |
| 19\(\frac{1}{2}\) | |
| 22 |
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(7 + 6)(4)
a = ½(13)(4)
a = ½(52) = \( \frac{52}{2} \)
a = 26
If a = 6, b = 8, c = 6, and d = 2, what is the perimeter of this quadrilateral?
| 23 | |
| 15 | |
| 19 | |
| 22 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 6 + 8 + 6 + 2
p = 22
On this circle, line segment CD is the:
radius |
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chord |
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circumference |
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diameter |
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 acute angles equal each other |
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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 of the angles formed by a transversal are called interior 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°).
Simplify (7a)(7ab) - (5a2)(4b).
| 69a2b | |
| 69ab2 | |
| 29a2b | |
| 126ab2 |
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.
(7a)(7ab) - (5a2)(4b)
(7 x 7)(a x a x b) - (5 x 4)(a2 x b)
(49)(a1+1 x b) - (20)(a2b)
49a2b - 20a2b
29a2b