| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.78 |
| Score | 0% | 56% |
If angle a = 68° and angle b = 37° what is the length of angle c?
| 99° | |
| 75° | |
| 84° | |
| 117° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 68° - 37° = 75°
The dimensions of this cube are height (h) = 4, length (l) = 7, and width (w) = 7. What is the surface area?
| 64 | |
| 78 | |
| 138 | |
| 210 |
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 7 x 7) + (2 x 7 x 4) + (2 x 7 x 4)
sa = (98) + (56) + (56)
sa = 210
On this circle, a line segment connecting point A to point D is called:
circumference |
|
diameter |
|
chord |
|
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).
Solve 2c - 9c = 7c + 2x + 7 for c in terms of x.
| 9x + 2 | |
| -2\(\frac{1}{5}\)x - 1\(\frac{2}{5}\) | |
| -7x + 6 | |
| -\(\frac{10}{11}\)x - \(\frac{6}{11}\) |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
2c - 9x = 7c + 2x + 7
2c = 7c + 2x + 7 + 9x
2c - 7c = 2x + 7 + 9x
-5c = 11x + 7
c = \( \frac{11x + 7}{-5} \)
c = \( \frac{11x}{-5} \) + \( \frac{7}{-5} \)
c = -2\(\frac{1}{5}\)x - 1\(\frac{2}{5}\)
If AD = 16 and BD = 12, AB = ?
| 9 | |
| 13 | |
| 19 | |
| 4 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD