| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.53 |
| Score | 0% | 71% |
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
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vertical, supplementary |
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acute, obtuse |
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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).
Simplify (y + 2)(y + 8)
| y2 + 6y - 16 | |
| y2 + 10y + 16 | |
| y2 - 10y + 16 | |
| y2 - 6y - 16 |
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:
(y + 2)(y + 8)
(y x y) + (y x 8) + (2 x y) + (2 x 8)
y2 + 8y + 2y + 16
y2 + 10y + 16
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
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Inside |
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Last |
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Odd |
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.
If a = 3, b = 5, c = 3, and d = 8, what is the perimeter of this quadrilateral?
| 19 | |
| 31 | |
| 18 | |
| 15 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 3 + 5 + 3 + 8
p = 19
Solve for z:
z2 + z - 56 = 0
| 8 or -5 | |
| 7 or -8 | |
| -5 or -9 | |
| 4 or -2 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 + z - 56 = 0
(z - 7)(z + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 7) or (z + 8) must equal zero:
If (z - 7) = 0, z must equal 7
If (z + 8) = 0, z must equal -8
So the solution is that z = 7 or -8