| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
What is the circumference of a circle with a diameter of 14?
| 14π | |
| 7π | |
| 4π | |
| 38π |
The formula for circumference is circle diameter x π:
c = πd
c = 14π
If AD = 12 and BD = 4, AB = ?
| 8 | |
| 9 | |
| 12 | |
| 1 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDIf side x = 7cm, side y = 5cm, and side z = 6cm what is the perimeter of this triangle?
| 18cm | |
| 32cm | |
| 28cm | |
| 26cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 7cm + 5cm + 6cm = 18cm
Factor y2 + 7y + 12
| (y + 3)(y - 4) | |
| (y - 3)(y - 4) | |
| (y - 3)(y + 4) | |
| (y + 3)(y + 4) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 12 as well and sum (Inside, Outside) to equal 7. For this problem, those two numbers are 3 and 4. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 7y + 12
y2 + (3 + 4)y + (3 x 4)
(y + 3)(y + 4)
Which of the following statements about parallel lines with a transversal is not correct?
all acute angles equal each other |
|
same-side interior angles are complementary and equal each other |
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all of the angles formed by a transversal are called interior angles |
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angles in the same position on different parallel lines are called corresponding angles |
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°).