| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
The dimensions of this trapezoid are a = 6, b = 6, c = 9, d = 5, and h = 5. What is the area?
| 27\(\frac{1}{2}\) | |
| 16\(\frac{1}{2}\) | |
| 35 | |
| 30 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(6 + 5)(5)
a = ½(11)(5)
a = ½(55) = \( \frac{55}{2} \)
a = 27\(\frac{1}{2}\)
A coordinate grid is composed of which of the following?
x-axis |
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y-axis |
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origin |
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all of these |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
Simplify 7a x 7b.
| 49ab | |
| 14ab | |
| 49\( \frac{a}{b} \) | |
| 49\( \frac{b}{a} \) |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
7a x 7b = (7 x 7) (a x b) = 49ab
Solve -7c + 5c = 5c - 2z - 1 for c in terms of z.
| 2\(\frac{1}{2}\)z - \(\frac{2}{3}\) | |
| \(\frac{7}{12}\)z + \(\frac{1}{12}\) | |
| -z + 1\(\frac{1}{8}\) | |
| 4z - 4\(\frac{1}{2}\) |
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.
-7c + 5z = 5c - 2z - 1
-7c = 5c - 2z - 1 - 5z
-7c - 5c = -2z - 1 - 5z
-12c = -7z - 1
c = \( \frac{-7z - 1}{-12} \)
c = \( \frac{-7z}{-12} \) + \( \frac{-1}{-12} \)
c = \(\frac{7}{12}\)z + \(\frac{1}{12}\)
Which types of triangles will always have at least two sides of equal length?
equilateral and isosceles |
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isosceles and right |
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equilateral and right |
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equilateral, 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.