| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| 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).
supplementary, vertical |
|
obtuse, acute |
|
acute, obtuse |
|
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).
Order the following types of angle from least number of degrees to most number of degrees.
right, obtuse, acute |
|
acute, right, obtuse |
|
right, acute, obtuse |
|
acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Solve for y:
y2 - 2y - 15 = 0
| 9 or -3 | |
| -5 or -6 | |
| -3 or 5 | |
| 4 or -5 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 - 2y - 15 = 0
(y + 3)(y - 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 3) or (y - 5) must equal zero:
If (y + 3) = 0, y must equal -3
If (y - 5) = 0, y must equal 5
So the solution is that y = -3 or 5
The dimensions of this cube are height (h) = 3, length (l) = 6, and width (w) = 8. What is the surface area?
| 212 | |
| 10 | |
| 180 | |
| 486 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 6 x 8) + (2 x 8 x 3) + (2 x 6 x 3)
sa = (96) + (48) + (36)
sa = 180
If side a = 2, side b = 4, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{18} \) | |
| \( \sqrt{32} \) | |
| \( \sqrt{20} \) | |
| \( \sqrt{130} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 22 + 42
c2 = 4 + 16
c2 = 20
c = \( \sqrt{20} \)