| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
If a = c = 1, b = d = 7, and the blue angle = 65°, what is the area of this parallelogram?
| 20 | |
| 1 | |
| 24 | |
| 7 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 1 x 7
a = 7
Which of the following statements about parallel lines with a transversal is not correct?
same-side interior angles are complementary and equal each other |
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all of the angles formed by a transversal are called interior angles |
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angles in the same position on different parallel lines are called corresponding angles |
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all acute angles equal each other |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).
A(n) __________ is two expressions separated by an equal sign.
problem |
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expression |
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equation |
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formula |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.
Simplify (y - 8)(y - 2)
| y2 - 6y - 16 | |
| y2 + 6y - 16 | |
| y2 - 10y + 16 | |
| y2 + 10y + 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 - 8)(y - 2)
(y x y) + (y x -2) + (-8 x y) + (-8 x -2)
y2 - 2y - 8y + 16
y2 - 10y + 16
What is 4a6 - 2a6?
| 2a6 | |
| 8a6 | |
| 6 | |
| 6a12 |
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.
4a6 - 2a6 = 2a6