| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
If a = c = 1, b = d = 2, what is the area of this rectangle?
| 8 | |
| 63 | |
| 2 | |
| 28 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 1 x 2
a = 2
Which of the following statements about parallel lines with a transversal is not correct?
all of the angles formed by a transversal are called interior angles |
|
angles in the same position on different parallel lines are called corresponding angles |
|
same-side interior angles are complementary and equal each other |
|
all acute angles equal each other |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).
The dimensions of this cube are height (h) = 6, length (l) = 2, and width (w) = 7. What is the volume?
| 84 | |
| 12 | |
| 189 | |
| 24 |
The volume of a cube is height x length x width:
v = h x l x w
v = 6 x 2 x 7
v = 84
Solve for b:
-6b + 0 = -1 + 7b
| 1 | |
| -2\(\frac{1}{2}\) | |
| -\(\frac{1}{3}\) | |
| \(\frac{1}{13}\) |
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.
-6b + 0 = -1 + 7b
-6b = -1 + 7b + 0
-6b - 7b = -1 + 0
-13b = -1
b = \( \frac{-1}{-13} \)
b = \(\frac{1}{13}\)
What is the area of a circle with a radius of 4?
| 25π | |
| 16π | |
| 5π | |
| 8π |
The formula for area is πr2:
a = πr2
a = π(42)
a = 16π