| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
A trapezoid is a quadrilateral with one set of __________ sides.
equal angle |
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equal length |
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parallel |
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right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Solve for z:
z2 + 9z + 6 = 2z - 4
| 3 or -7 | |
| 8 or 1 | |
| -2 or -5 | |
| -6 or -7 |
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:
z2 + 9z + 6 = 2z - 4
z2 + 9z + 6 + 4 = 2z
z2 + 9z - 2z + 10 = 0
z2 + 7z + 10 = 0
Next, factor the quadratic equation:
z2 + 7z + 10 = 0
(z + 2)(z + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 2) or (z + 5) must equal zero:
If (z + 2) = 0, z must equal -2
If (z + 5) = 0, z must equal -5
So the solution is that z = -2 or -5
The dimensions of this trapezoid are a = 6, b = 5, c = 9, d = 9, and h = 4. What is the area?
| 15 | |
| 24 | |
| 28 | |
| 14 |
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(5 + 9)(4)
a = ½(14)(4)
a = ½(56) = \( \frac{56}{2} \)
a = 28
The dimensions of this cube are height (h) = 5, length (l) = 6, and width (w) = 5. What is the volume?
| 64 | |
| 150 | |
| 252 | |
| 24 |
The volume of a cube is height x length x width:
v = h x l x w
v = 5 x 6 x 5
v = 150
Which of the following statements about a triangle is not true?
perimeter = sum of side lengths |
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exterior angle = sum of two adjacent interior angles |
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area = ½bh |
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sum of interior angles = 180° |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.