| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
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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supplementary, vertical |
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vertical, supplementary |
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 coordinate grid is composed of which of the following?
y-axis |
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all of these |
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x-axis |
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origin |
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.
If angle a = 50° and angle b = 67° what is the length of angle d?
| 115° | |
| 124° | |
| 139° | |
| 130° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 50° - 67° = 63°
So, d° = 67° + 63° = 130°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 50° = 130°
Simplify (6a)(4ab) + (8a2)(7b).
| 150ab2 | |
| 32a2b | |
| 80a2b | |
| 32ab2 |
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.
(6a)(4ab) + (8a2)(7b)
(6 x 4)(a x a x b) + (8 x 7)(a2 x b)
(24)(a1+1 x b) + (56)(a2b)
24a2b + 56a2b
80a2b
Simplify 5a x 5b.
| 25ab | |
| 25\( \frac{a}{b} \) | |
| 25\( \frac{b}{a} \) | |
| 25a2b2 |
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.
5a x 5b = (5 x 5) (a x b) = 25ab