| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.93 |
| Score | 0% | 59% |
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
acute, obtuse |
|
vertical, supplementary |
|
obtuse, acute |
|
supplementary, vertical |
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 a:
-7a - 3 > -4 - 2a
| a > \(\frac{1}{5}\) | |
| a > -2\(\frac{1}{3}\) | |
| a > -\(\frac{2}{9}\) | |
| a > \(\frac{2}{3}\) |
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.
-7a - 3 > -4 - 2a
-7a > -4 - 2a + 3
-7a + 2a > -4 + 3
-5a > -1
a > \( \frac{-1}{-5} \)
a > \(\frac{1}{5}\)
If the base of this triangle is 7 and the height is 2, what is the area?
| 65 | |
| 31\(\frac{1}{2}\) | |
| 7 | |
| 27\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 7 x 2 = \( \frac{14}{2} \) = 7
If angle a = 39° and angle b = 29° what is the length of angle c?
| 112° | |
| 44° | |
| 101° | |
| 92° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 39° - 29° = 112°
The dimensions of this cylinder are height (h) = 9 and radius (r) = 6. What is the surface area?
| 180π | |
| 168π | |
| 56π | |
| 80π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(62) + 2π(6 x 9)
sa = 2π(36) + 2π(54)
sa = (2 x 36)π + (2 x 54)π
sa = 72π + 108π
sa = 180π