| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.77 |
| Score | 0% | 55% |
If angle a = 70° and angle b = 59° what is the length of angle c?
| 51° | |
| 60° | |
| 108° | |
| 107° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 70° - 59° = 51°
The dimensions of this trapezoid are a = 5, b = 7, c = 7, d = 5, and h = 3. What is the area?
| 12 | |
| 18 | |
| 30 | |
| 16\(\frac{1}{2}\) |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(7 + 5)(3)
a = ½(12)(3)
a = ½(36) = \( \frac{36}{2} \)
a = 18
Solve 4b + b = 3b - 7z + 4 for b in terms of z.
| -8z + 4 | |
| -\(\frac{2}{11}\)z + \(\frac{8}{11}\) | |
| -\(\frac{2}{5}\)z + \(\frac{3}{5}\) | |
| \(\frac{2}{7}\)z + \(\frac{1}{7}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
4b + z = 3b - 7z + 4
4b = 3b - 7z + 4 - z
4b - 3b = -7z + 4 - z
b = -8z + 4
What is 8a2 + 7a2?
| 1 | |
| a24 | |
| 15a2 | |
| 56a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
8a2 + 7a2 = 15a2
The endpoints of this line segment are at (-2, -7) and (2, 5). What is the slope of this line?
| \(\frac{1}{2}\) | |
| -2 | |
| 2\(\frac{1}{2}\) | |
| 3 |
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, -7) and (2, 5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (-7.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)