| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.89 |
| Score | 0% | 58% |
What is the circumference of a circle with a diameter of 11?
| 20π | |
| 11π | |
| 10π | |
| 34π |
The formula for circumference is circle diameter x π:
c = πd
c = 11π
What is 5a + 4a?
| 20a | |
| a2 | |
| 9a2 | |
| 9a |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
5a + 4a = 9a
Solve for a:
2a - 1 < -4 + a
| a < -3 | |
| a < -\(\frac{1}{4}\) | |
| a < -1 | |
| a < -\(\frac{7}{8}\) |
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 < sign and the answer on the other.
2a - 1 < -4 + a
2a < -4 + a + 1
2a - a < -4 + 1
a < -3
Which of the following statements about parallel lines with a transversal is not correct?
angles in the same position on different parallel lines are called corresponding angles |
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all of the angles formed by a transversal are called interior angles |
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same-side interior angles are complementary and equal each other |
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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°).
On this circle, a line segment connecting point A to point D is called:
radius |
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diameter |
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chord |
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circumference |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).