| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
|
acute, obtuse |
|
supplementary, vertical |
|
obtuse, acute |
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) = 4 and radius (r) = 9. What is the surface area?
| 234π | |
| 70π | |
| 144π | |
| 84π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 4)
sa = 2π(81) + 2π(36)
sa = (2 x 81)π + (2 x 36)π
sa = 162π + 72π
sa = 234π
Solve for b:
b + 8 < -1 - 2b
| b < 3\(\frac{1}{2}\) | |
| b < -3 | |
| b < 1 | |
| b < -1 |
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.
b + 8 < -1 - 2b
b < -1 - 2b - 8
b + 2b < -1 - 8
3b < -9
b < \( \frac{-9}{3} \)
b < -3
Simplify 3a x 2b.
| 6\( \frac{a}{b} \) | |
| 6a2b2 | |
| 6ab | |
| 6\( \frac{b}{a} \) |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
3a x 2b = (3 x 2) (a x b) = 6ab
Which of the following statements about a triangle is not true?
exterior angle = sum of two adjacent interior angles |
|
perimeter = sum of side lengths |
|
area = ½bh |
|
sum of interior angles = 180° |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.