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|---|---|---|
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Solve 7a - 8a = 8a - 2z + 3 for a in terms of z.
| -\(\frac{3}{8}\)z + \(\frac{3}{4}\) | |
| -6z - 3 | |
| -\(\frac{6}{13}\)z - \(\frac{2}{13}\) | |
| \(\frac{3}{14}\)z - \(\frac{5}{14}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
7a - 8z = 8a - 2z + 3
7a = 8a - 2z + 3 + 8z
7a - 8a = -2z + 3 + 8z
-a = 6z + 3
a = \( \frac{6z + 3}{-1} \)
a = \( \frac{6z}{-1} \) + \( \frac{3}{-1} \)
a = -6z - 3
Solve for x:
-5x + 9 < \( \frac{x}{-8} \)
| x < -\(\frac{7}{57}\) | |
| x < -1\(\frac{1}{17}\) | |
| x < \(\frac{8}{19}\) | |
| x < 1\(\frac{11}{13}\) |
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 < sign and the answer on the other.
-5x + 9 < \( \frac{x}{-8} \)
-8 x (-5x + 9) < x
(-8 x -5x) + (-8 x 9) < x
40x - 72 < x
40x - 72 - x < 0
40x - x < 72
39x < 72
x < \( \frac{72}{39} \)
x < 1\(\frac{11}{13}\)
A trapezoid is a quadrilateral with one set of __________ sides.
equal angle |
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equal length |
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right angle |
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parallel |
A trapezoid is a quadrilateral with one set of parallel sides.
Which types of triangles will always have at least two sides of equal length?
equilateral and right |
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equilateral, isosceles and right |
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equilateral and isosceles |
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isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
On this circle, line segment AB is the:
radius |
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diameter |
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circumference |
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chord |
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).