| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.62 |
| Score | 0% | 72% |
If side x = 6cm, side y = 10cm, and side z = 9cm what is the perimeter of this triangle?
| 37cm | |
| 24cm | |
| 40cm | |
| 25cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 6cm + 10cm + 9cm = 25cm
A right angle measures:
180° |
|
45° |
|
360° |
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90° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Simplify 9a x 8b.
| 72ab | |
| 72\( \frac{a}{b} \) | |
| 17ab | |
| 72\( \frac{b}{a} \) |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
9a x 8b = (9 x 8) (a x b) = 72ab
Which of the following statements about parallel lines with a transversal is not correct?
all acute angles equal each other |
|
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 |
|
same-side interior angles are complementary and 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 cylinder are height (h) = 1 and radius (r) = 8. What is the volume?
| 64π | |
| 144π | |
| 16π | |
| 9π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(82 x 1)
v = 64π