| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
|
obtuse, acute |
|
supplementary, vertical |
|
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).
The dimensions of this cylinder are height (h) = 1 and radius (r) = 8. What is the volume?
| 147π | |
| 64π | |
| 36π | |
| 200π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(82 x 1)
v = 64π
If side a = 1, side b = 3, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{74} \) | |
| \( \sqrt{20} \) | |
| \( \sqrt{10} \) | |
| \( \sqrt{85} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 12 + 32
c2 = 1 + 9
c2 = 10
c = \( \sqrt{10} \)
What is the area of a circle with a diameter of 8?
| 3π | |
| 9π | |
| 4π | |
| 16π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr2
a = π(42)
a = 16π
Solve for x:
-9x + 7 = \( \frac{x}{-6} \)
| 8 | |
| \(\frac{32}{35}\) | |
| \(\frac{42}{53}\) | |
| 1\(\frac{13}{41}\) |
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 equal sign and the answer on the other.
-9x + 7 = \( \frac{x}{-6} \)
-6 x (-9x + 7) = x
(-6 x -9x) + (-6 x 7) = x
54x - 42 = x
54x - 42 - x = 0
54x - x = 42
53x = 42
x = \( \frac{42}{53} \)
x = \(\frac{42}{53}\)