| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
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right, obtuse, acute |
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acute, right, obtuse |
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acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
The endpoints of this line segment are at (-2, -6) and (2, 4). What is the slope of this line?
| -\(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) | |
| -1 | |
| 2 |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -6) and (2, 4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-6.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)Which of the following statements about a triangle is not true?
area = ½bh |
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sum of interior angles = 180° |
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perimeter = sum of side lengths |
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exterior angle = sum of two adjacent interior angles |
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.
Solve for z:
z2 + 12z + 11 = 5z + 5
| -4 or -6 | |
| -2 or -8 | |
| 5 or -6 | |
| -1 or -6 |
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 + 12z + 11 = 5z + 5
z2 + 12z + 11 - 5 = 5z
z2 + 12z - 5z + 6 = 0
z2 + 7z + 6 = 0
Next, factor the quadratic equation:
z2 + 7z + 6 = 0
(z + 1)(z + 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 1) or (z + 6) must equal zero:
If (z + 1) = 0, z must equal -1
If (z + 6) = 0, z must equal -6
So the solution is that z = -1 or -6
If a = 2, b = 4, c = 4, and d = 3, what is the perimeter of this quadrilateral?
| 13 | |
| 22 | |
| 12 | |
| 18 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 2 + 4 + 4 + 3
p = 13