| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
acute, obtuse |
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obtuse, acute |
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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).
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
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rhombus |
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quadrilateral |
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trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
What is 5a + 7a?
| 12a2 | |
| 12a | |
| 12 | |
| 35a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
5a + 7a = 12a
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
|
h x l x w |
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lw x wh + lh |
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2lw x 2wh + 2lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
Solve for a:
9a + 7 = \( \frac{a}{5} \)
| 1\(\frac{10}{11}\) | |
| -\(\frac{35}{44}\) | |
| -\(\frac{12}{23}\) | |
| -\(\frac{7}{8}\) |
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.
9a + 7 = \( \frac{a}{5} \)
5 x (9a + 7) = a
(5 x 9a) + (5 x 7) = a
45a + 35 = a
45a + 35 - a = 0
45a - a = -35
44a = -35
a = \( \frac{-35}{44} \)
a = -\(\frac{35}{44}\)