| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.97 |
| Score | 0% | 59% |
If a = c = 2, b = d = 4, and the blue angle = 55°, what is the area of this parallelogram?
| 18 | |
| 36 | |
| 8 | |
| 81 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 2 x 4
a = 8
What is the circumference of a circle with a diameter of 6?
| 28π | |
| 10π | |
| 19π | |
| 6π |
The formula for circumference is circle diameter x π:
c = πd
c = 6π
Solve for a:
a2 + a - 6 = 0
| 2 or -3 | |
| 3 or -2 | |
| -7 or -8 | |
| 4 or -8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 + a - 6 = 0
(a - 2)(a + 3) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 2) or (a + 3) must equal zero:
If (a - 2) = 0, a must equal 2
If (a + 3) = 0, a must equal -3
So the solution is that a = 2 or -3
On this circle, line segment CD is the:
chord |
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circumference |
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diameter |
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radius |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Which of the following statements about a triangle is not true?
area = ½bh |
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exterior angle = sum of two adjacent interior angles |
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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.