| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.90 |
| Score | 0% | 58% |
If angle a = 44° and angle b = 40° what is the length of angle c?
| 96° | |
| 72° | |
| 98° | |
| 75° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 44° - 40° = 96°
The dimensions of this cube are height (h) = 6, length (l) = 6, and width (w) = 9. What is the surface area?
| 82 | |
| 288 | |
| 94 | |
| 162 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 6 x 9) + (2 x 9 x 6) + (2 x 6 x 6)
sa = (108) + (108) + (72)
sa = 288
If a = c = 9, b = d = 10, and the blue angle = 51°, what is the area of this parallelogram?
| 90 | |
| 2 | |
| 7 | |
| 40 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 9 x 10
a = 90
The endpoints of this line segment are at (-2, 4) and (2, 2). What is the slope of this line?
| 3 | |
| -1 | |
| -\(\frac{1}{2}\) | |
| -2 |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 4) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (4.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)Solve for z:
-z + 3 = 8 - 7z
| -5 | |
| -\(\frac{5}{9}\) | |
| -1\(\frac{3}{4}\) | |
| \(\frac{5}{6}\) |
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.
-z + 3 = 8 - 7z
-z = 8 - 7z - 3
-z + 7z = 8 - 3
6z = 5
z = \( \frac{5}{6} \)
z = \(\frac{5}{6}\)