| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
Solve for z:
3z + 4 = 3 + 9z
| \(\frac{1}{6}\) | |
| -\(\frac{4}{5}\) | |
| 2\(\frac{1}{4}\) | |
| -1\(\frac{4}{5}\) |
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.
3z + 4 = 3 + 9z
3z = 3 + 9z - 4
3z - 9z = 3 - 4
-6z = -1
z = \( \frac{-1}{-6} \)
z = \(\frac{1}{6}\)
The endpoints of this line segment are at (-2, -3) and (2, -1). What is the slope of this line?
| -1\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| -\(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) |
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, -3) and (2, -1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
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midpoints |
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trisects |
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intersects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
A quadrilateral is a shape with __________ sides.
4 |
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5 |
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2 |
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3 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
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acute, obtuse |
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vertical, supplementary |
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supplementary, vertical |
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).