| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
The endpoints of this line segment are at (-2, -5) and (2, 1). What is the slope of this line?
| 1\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) | |
| -1\(\frac{1}{2}\) |
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, -5) and (2, 1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-5.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)What is the area of a circle with a diameter of 10?
| 7π | |
| 9π | |
| 25π | |
| 5π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π
This diagram represents two parallel lines with a transversal. If b° = 167, what is the value of d°?
| 12 | |
| 167 | |
| 143 | |
| 149 |
For parallel lines with a transversal, the following relationships apply:
Applying these relationships starting with b° = 167, the value of d° is 167.
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
acute, obtuse |
|
obtuse, acute |
|
vertical, supplementary |
|
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).
The dimensions of this cube are height (h) = 5, length (l) = 2, and width (w) = 3. What is the volume?
| 36 | |
| 30 | |
| 126 | |
| 12 |
The volume of a cube is height x length x width:
v = h x l x w
v = 5 x 2 x 3
v = 30