| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.78 |
| Score | 0% | 56% |
Which types of triangles will always have at least two sides of equal length?
equilateral, isosceles and right |
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equilateral and isosceles |
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isosceles and right |
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equilateral and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
What is the area of a circle with a radius of 5?
| 8π | |
| 25π | |
| 81π | |
| 9π |
The formula for area is πr2:
a = πr2
a = π(52)
a = 25π
Which of the following statements about parallel lines with a transversal is not correct?
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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all acute angles equal each other |
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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°).
Solve for x:
-8x - 9 = \( \frac{x}{-8} \)
| -1\(\frac{2}{3}\) | |
| -1\(\frac{1}{7}\) | |
| -\(\frac{32}{33}\) | |
| -\(\frac{8}{11}\) |
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.
-8x - 9 = \( \frac{x}{-8} \)
-8 x (-8x - 9) = x
(-8 x -8x) + (-8 x -9) = x
64x + 72 = x
64x + 72 - x = 0
64x - x = -72
63x = -72
x = \( \frac{-72}{63} \)
x = -1\(\frac{1}{7}\)
What is the circumference of a circle with a radius of 14?
| 24π | |
| 13π | |
| 1π | |
| 28π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 14)
c = 28π