| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
Which of the following statements about a parallelogram is not true?
opposite sides and adjacent angles are equal |
|
the perimeter of a parallelogram is the sum of the lengths of all sides |
|
a parallelogram is a quadrilateral |
|
the area of a parallelogram is base x height |
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).
If the base of this triangle is 7 and the height is 3, what is the area?
| 66 | |
| 10\(\frac{1}{2}\) | |
| 105 | |
| 98 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 7 x 3 = \( \frac{21}{2} \) = 10\(\frac{1}{2}\)
Solve for a:
a2 + 2a - 35 = 0
| 7 or -8 | |
| 5 or -7 | |
| 8 or 2 | |
| -2 or -6 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 + 2a - 35 = 0
(a - 5)(a + 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 5) or (a + 7) must equal zero:
If (a - 5) = 0, a must equal 5
If (a + 7) = 0, a must equal -7
So the solution is that a = 5 or -7
A right angle measures:
90° |
|
180° |
|
360° |
|
45° |
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.
Simplify (2a)(4ab) + (8a2)(2b).
| 24a2b | |
| 60a2b | |
| -8a2b | |
| 8a2b |
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.
(2a)(4ab) + (8a2)(2b)
(2 x 4)(a x a x b) + (8 x 2)(a2 x b)
(8)(a1+1 x b) + (16)(a2b)
8a2b + 16a2b
24a2b