| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.72 |
| Score | 0% | 54% |
If a = c = 8, b = d = 9, and the blue angle = 69°, what is the area of this parallelogram?
| 72 | |
| 42 | |
| 12 | |
| 6 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 8 x 9
a = 72
Simplify (2a)(3ab) - (5a2)(9b).
| 70ab2 | |
| 70a2b | |
| 39ab2 | |
| -39a2b |
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)(3ab) - (5a2)(9b)
(2 x 3)(a x a x b) - (5 x 9)(a2 x b)
(6)(a1+1 x b) - (45)(a2b)
6a2b - 45a2b
-39a2b
On this circle, line segment CD is the:
radius |
|
chord |
|
circumference |
|
diameter |
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).
Solve for b:
4b - 1 > \( \frac{b}{6} \)
| b > 1\(\frac{1}{6}\) | |
| b > \(\frac{6}{23}\) | |
| b > 1\(\frac{1}{3}\) | |
| b > -\(\frac{15}{22}\) |
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 > sign and the answer on the other.
4b - 1 > \( \frac{b}{6} \)
6 x (4b - 1) > b
(6 x 4b) + (6 x -1) > b
24b - 6 > b
24b - 6 - b > 0
24b - b > 6
23b > 6
b > \( \frac{6}{23} \)
b > \(\frac{6}{23}\)
Which types of triangles will always have at least two sides of equal length?
equilateral and isosceles |
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equilateral and right |
|
isosceles and right |
|
equilateral, isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.