| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
The dimensions of this cube are height (h) = 1, length (l) = 8, and width (w) = 3. What is the volume?
| 245 | |
| 60 | |
| 378 | |
| 24 |
The volume of a cube is height x length x width:
v = h x l x w
v = 1 x 8 x 3
v = 24
A right angle measures:
180° |
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360° |
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90° |
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45° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
If angle a = 60° and angle b = 50° what is the length of angle d?
| 120° | |
| 151° | |
| 111° | |
| 116° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 60° - 50° = 70°
So, d° = 50° + 70° = 120°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 60° = 120°
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
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a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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opposite sides and adjacent angles are equal |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
Factor y2 + 2y - 63
| (y + 7)(y + 9) | |
| (y - 7)(y + 9) | |
| (y + 7)(y - 9) | |
| (y - 7)(y - 9) |
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 -63 as well and sum (Inside, Outside) to equal 2. For this problem, those two numbers are -7 and 9. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 2y - 63
y2 + (-7 + 9)y + (-7 x 9)
(y - 7)(y + 9)