| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
|
supplementary, vertical |
|
obtuse, acute |
|
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).
If a = c = 6, b = d = 8, and the blue angle = 62°, what is the area of this parallelogram?
| 27 | |
| 40 | |
| 3 | |
| 48 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 6 x 8
a = 48
The dimensions of this trapezoid are a = 5, b = 7, c = 7, d = 5, and h = 4. What is the area?
| 24 | |
| 18 | |
| 34 | |
| 12\(\frac{1}{2}\) |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(7 + 5)(4)
a = ½(12)(4)
a = ½(48) = \( \frac{48}{2} \)
a = 24
Solve for z:
z2 + 2z - 35 = 0
| 6 or -6 | |
| 6 or -5 | |
| 5 or -7 | |
| -3 or -6 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 + 2z - 35 = 0
(z - 5)(z + 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 5) or (z + 7) must equal zero:
If (z - 5) = 0, z must equal 5
If (z + 7) = 0, z must equal -7
So the solution is that z = 5 or -7
The dimensions of this cube are height (h) = 8, length (l) = 9, and width (w) = 4. What is the volume?
| 189 | |
| 288 | |
| 25 | |
| 28 |
The volume of a cube is height x length x width:
v = h x l x w
v = 8 x 9 x 4
v = 288