| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
If angle a = 63° and angle b = 40° what is the length of angle c?
| 59° | |
| 78° | |
| 89° | |
| 77° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 63° - 40° = 77°
If the length of AB equals the length of BD, point B __________ this line segment.
intersects |
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trisects |
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midpoints |
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bisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
Which of the following statements about math operations is incorrect?
you can subtract monomials that have the same variable and the same exponent |
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you can add monomials that have the same variable and the same exponent |
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you can multiply monomials that have different variables and different exponents |
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all of these statements are correct |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
The dimensions of this trapezoid are a = 5, b = 8, c = 7, d = 2, and h = 4. What is the area?
| 13 | |
| 18 | |
| 20 | |
| 16\(\frac{1}{2}\) |
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 + 2)(4)
a = ½(10)(4)
a = ½(40) = \( \frac{40}{2} \)
a = 20
Factor y2 + 6y - 16
| (y - 2)(y + 8) | |
| (y + 2)(y - 8) | |
| (y - 2)(y - 8) | |
| (y + 2)(y + 8) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -16 as well and sum (Inside, Outside) to equal 6. For this problem, those two numbers are -2 and 8. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 6y - 16
y2 + (-2 + 8)y + (-2 x 8)
(y - 2)(y + 8)