| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.69 |
| Score | 0% | 54% |
The dimensions of this cube are height (h) = 2, length (l) = 7, and width (w) = 8. What is the volume?
| 14 | |
| 112 | |
| 18 | |
| 96 |
The volume of a cube is height x length x width:
v = h x l x w
v = 2 x 7 x 8
v = 112
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
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rhombus |
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triangle |
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trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
If angle a = 20° and angle b = 44° what is the length of angle d?
| 117° | |
| 114° | |
| 144° | |
| 160° |
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° - 20° - 44° = 116°
So, d° = 44° + 116° = 160°
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° - 20° = 160°
Solve c - c = 2c - x + 4 for c in terms of x.
| \(\frac{2}{5}\)x + \(\frac{4}{5}\) | |
| -\(\frac{1}{5}\)x + \(\frac{1}{5}\) | |
| 1\(\frac{1}{2}\)x - 2 | |
| x - 4 |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
c - x = 2c - x + 4
c = 2c - x + 4 + x
c - 2c = -x + 4 + x
-c = + 4
c = \( \frac{ + 4}{-1} \)
c = \( \frac{}{-1} \) + \( \frac{4}{-1} \)
c = x - 4
On this circle, line segment CD is the:
radius |
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circumference |
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chord |
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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).