| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.12 |
| Score | 0% | 62% |
Solve for b:
9b + 5 < \( \frac{b}{5} \)
| b < 1\(\frac{25}{29}\) | |
| b < -\(\frac{25}{44}\) | |
| b < -1\(\frac{1}{7}\) | |
| b < \(\frac{7}{18}\) |
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.
9b + 5 < \( \frac{b}{5} \)
5 x (9b + 5) < b
(5 x 9b) + (5 x 5) < b
45b + 25 < b
45b + 25 - b < 0
45b - b < -25
44b < -25
b < \( \frac{-25}{44} \)
b < -\(\frac{25}{44}\)
If a = c = 6, b = d = 9, and the blue angle = 65°, what is the area of this parallelogram?
| 40 | |
| 27 | |
| 9 | |
| 54 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 6 x 9
a = 54
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
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acute, obtuse |
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vertical, supplementary |
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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).
The dimensions of this cube are height (h) = 3, length (l) = 9, and width (w) = 4. What is the volume?
| 140 | |
| 36 | |
| 42 | |
| 108 |
The volume of a cube is height x length x width:
v = h x l x w
v = 3 x 9 x 4
v = 108
Which of the following statements about a triangle is not true?
sum of interior angles = 180° |
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exterior angle = sum of two adjacent interior angles |
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perimeter = sum of side lengths |
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area = ½bh |
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.