| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
If a = c = 9, b = d = 8, and the blue angle = 68°, what is the area of this parallelogram?
| 40 | |
| 36 | |
| 21 | |
| 72 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 9 x 8
a = 72
Solve for a:
6a + 8 = -8 - 3a
| \(\frac{3}{7}\) | |
| -1\(\frac{7}{9}\) | |
| -2 | |
| -1 |
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.
6a + 8 = -8 - 3a
6a = -8 - 3a - 8
6a + 3a = -8 - 8
9a = -16
a = \( \frac{-16}{9} \)
a = -1\(\frac{7}{9}\)
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
|
opposite sides and adjacent angles are equal |
|
a parallelogram is a quadrilateral |
|
the perimeter of a parallelogram is the sum of the lengths of all sides |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
Which of the following statements about a triangle is not true?
exterior angle = sum of two adjacent interior angles |
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area = ½bh |
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sum of interior angles = 180° |
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perimeter = sum of side lengths |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.
Simplify (y - 3)(y - 2)
| y2 - y - 6 | |
| y2 + y - 6 | |
| y2 - 5y + 6 | |
| y2 + 5y + 6 |
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 - 3)(y - 2)
(y x y) + (y x -2) + (-3 x y) + (-3 x -2)
y2 - 2y - 3y + 6
y2 - 5y + 6