| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.97 |
| Score | 0% | 59% |
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
|
c2 - a2 |
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c2 + a2 |
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a2 - c2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
The dimensions of this cube are height (h) = 1, length (l) = 4, and width (w) = 1. What is the volume?
| 14 | |
| 126 | |
| 64 | |
| 4 |
The volume of a cube is height x length x width:
v = h x l x w
v = 1 x 4 x 1
v = 4
Which of the following is not required to define the slope-intercept equation for a line?
\({\Delta y \over \Delta x}\) |
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x-intercept |
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slope |
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y-intercept |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
If angle a = 37° and angle b = 36° what is the length of angle c?
| 73° | |
| 77° | |
| 100° | |
| 107° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 37° - 36° = 107°
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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area = ½bh |
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perimeter = sum of side lengths |
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.