| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.93 |
| Score | 0% | 59% |
The dimensions of this trapezoid are a = 6, b = 6, c = 7, d = 3, and h = 4. What is the area?
| 35 | |
| 18 | |
| 32\(\frac{1}{2}\) | |
| 15 |
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(6 + 3)(4)
a = ½(9)(4)
a = ½(36) = \( \frac{36}{2} \)
a = 18
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
|
supplementary, vertical |
|
vertical, supplementary |
|
acute, obtuse |
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).
If side x = 8cm, side y = 14cm, and side z = 12cm what is the perimeter of this triangle?
| 28cm | |
| 20cm | |
| 34cm | |
| 26cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 8cm + 14cm + 12cm = 34cm
The dimensions of this cylinder are height (h) = 9 and radius (r) = 9. What is the volume?
| 392π | |
| 49π | |
| 25π | |
| 729π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(92 x 9)
v = 729π
Solve 9c - 2c = -4c + 5z - 9 for c in terms of z.
| -2\(\frac{2}{5}\)z + 1\(\frac{1}{5}\) | |
| \(\frac{7}{13}\)z - \(\frac{9}{13}\) | |
| -1\(\frac{1}{2}\)z - 3\(\frac{1}{2}\) | |
| \(\frac{1}{13}\)z + \(\frac{1}{13}\) |
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.
9c - 2z = -4c + 5z - 9
9c = -4c + 5z - 9 + 2z
9c + 4c = 5z - 9 + 2z
13c = 7z - 9
c = \( \frac{7z - 9}{13} \)
c = \( \frac{7z}{13} \) + \( \frac{-9}{13} \)
c = \(\frac{7}{13}\)z - \(\frac{9}{13}\)