| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
If a = c = 2, b = d = 6, and the blue angle = 53°, what is the area of this parallelogram?
| 28 | |
| 5 | |
| 12 | |
| 24 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 2 x 6
a = 12
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
|
vertical, supplementary |
|
acute, obtuse |
|
obtuse, acute |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
Solve for z:
5z + 9 < \( \frac{z}{2} \)
| z < 2\(\frac{5}{29}\) | |
| z < \(\frac{7}{8}\) | |
| z < -7\(\frac{5}{7}\) | |
| z < -2 |
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.
5z + 9 < \( \frac{z}{2} \)
2 x (5z + 9) < z
(2 x 5z) + (2 x 9) < z
10z + 18 < z
10z + 18 - z < 0
10z - z < -18
9z < -18
z < \( \frac{-18}{9} \)
z < -2
A coordinate grid is composed of which of the following?
origin |
|
x-axis |
|
y-axis |
|
all of these |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
The dimensions of this cube are height (h) = 3, length (l) = 7, and width (w) = 6. What is the volume?
| 288 | |
| 126 | |
| 72 | |
| 36 |
The volume of a cube is height x length x width:
v = h x l x w
v = 3 x 7 x 6
v = 126