| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.62 |
| Score | 0% | 52% |
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).
Solve 5c - 4c = c + 2z + 4 for c in terms of z.
| z + \(\frac{1}{2}\) | |
| -\(\frac{1}{15}\)z + \(\frac{2}{15}\) | |
| 2\(\frac{1}{2}\)z - 2\(\frac{1}{4}\) | |
| 1\(\frac{1}{2}\)z + 1 |
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.
5c - 4z = c + 2z + 4
5c = c + 2z + 4 + 4z
5c - c = 2z + 4 + 4z
4c = 6z + 4
c = \( \frac{6z + 4}{4} \)
c = \( \frac{6z}{4} \) + \( \frac{4}{4} \)
c = 1\(\frac{1}{2}\)z + 1
On this circle, line segment CD is the:
chord |
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circumference |
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radius |
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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).
The endpoints of this line segment are at (-2, 6) and (2, -2). What is the slope-intercept equation for this line?
| y = -2x - 1 | |
| y = -\(\frac{1}{2}\)x - 3 | |
| y = -x + 4 | |
| y = -2x + 2 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 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, -2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)Plugging these values into the slope-intercept equation:
y = -2x + 2
If a = c = 9, b = d = 10, what is the area of this rectangle?
| 40 | |
| 1 | |
| 3 | |
| 90 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 9 x 10
a = 90