| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
|
acute, obtuse |
|
obtuse, acute |
|
vertical, supplementary |
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).
The dimensions of this cylinder are height (h) = 8 and radius (r) = 8. What is the surface area?
| 192π | |
| 256π | |
| 4π | |
| 108π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 8)
sa = 2π(64) + 2π(64)
sa = (2 x 64)π + (2 x 64)π
sa = 128π + 128π
sa = 256π
What is 3a - 7a?
| -4 | |
| 10a2 | |
| -4a | |
| -4a2 |
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.
3a - 7a = -4a
Simplify (y + 9)(y + 3)
| y2 - 12y + 27 | |
| y2 + 6y - 27 | |
| y2 - 6y - 27 | |
| y2 + 12y + 27 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 9)(y + 3)
(y x y) + (y x 3) + (9 x y) + (9 x 3)
y2 + 3y + 9y + 27
y2 + 12y + 27
A right angle measures:
45° |
|
180° |
|
90° |
|
360° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.