| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.68 |
| Score | 0% | 74% |
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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vertical, supplementary |
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supplementary, vertical |
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obtuse, acute |
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 right angle measures:
180° |
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45° |
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90° |
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360° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
If AD = 14 and BD = 5, AB = ?
| 4 | |
| 2 | |
| 9 | |
| 11 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDSolve for b:
b2 - 5b - 14 = 0
| -2 or 7 | |
| -2 or -4 | |
| 5 or -2 | |
| 7 or -4 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 - 5b - 14 = 0
(b + 2)(b - 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 2) or (b - 7) must equal zero:
If (b + 2) = 0, b must equal -2
If (b - 7) = 0, b must equal 7
So the solution is that b = -2 or 7
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Inside |
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Odd |
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Last |
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First |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.