| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.75 |
| Score | 0% | 55% |
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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obtuse, acute |
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acute, obtuse |
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vertical, supplementary |
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).
Solve for c:
-8c - 3 = -1 - 6c
| \(\frac{2}{3}\) | |
| 1\(\frac{1}{3}\) | |
| -1 | |
| \(\frac{3}{4}\) |
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 equal sign and the answer on the other.
-8c - 3 = -1 - 6c
-8c = -1 - 6c + 3
-8c + 6c = -1 + 3
-2c = 2
c = \( \frac{2}{-2} \)
c = -1
Solve for x:
x2 - 9x + 14 = 0
| 3 or -8 | |
| 7 or 6 | |
| 2 or 7 | |
| 6 or 1 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 - 9x + 14 = 0
(x - 2)(x - 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 2) or (x - 7) must equal zero:
If (x - 2) = 0, x must equal 2
If (x - 7) = 0, x must equal 7
So the solution is that x = 2 or 7
Which of the following statements about a parallelogram is not true?
the perimeter of a parallelogram is the sum of the lengths of all sides |
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a parallelogram is a quadrilateral |
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opposite sides and adjacent angles are equal |
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the area of a parallelogram is base x height |
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).
The endpoints of this line segment are at (-2, 3) and (2, -5). What is the slope of this line?
| -2 | |
| 3 | |
| 1\(\frac{1}{2}\) | |
| -3 |
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, 3) and (2, -5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)