| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.77 |
| Score | 0% | 55% |
On this circle, line segment AB is the:
chord |
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circumference |
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radius |
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diameter |
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).
Solve -3a + 2a = 3a + 3y - 1 for a in terms of y.
| 1\(\frac{2}{3}\)y + \(\frac{1}{3}\) | |
| -\(\frac{9}{11}\)y + \(\frac{7}{11}\) | |
| \(\frac{2}{3}\)y - \(\frac{2}{9}\) | |
| -\(\frac{1}{6}\)y + \(\frac{1}{6}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
-3a + 2y = 3a + 3y - 1
-3a = 3a + 3y - 1 - 2y
-3a - 3a = 3y - 1 - 2y
-6a = y - 1
a = \( \frac{y - 1}{-6} \)
a = \( \frac{y}{-6} \) + \( \frac{-1}{-6} \)
a = -\(\frac{1}{6}\)y + \(\frac{1}{6}\)
Find the value of c:
-9c + x = -5
c + 4x = 2
| -2\(\frac{13}{22}\) | |
| \(\frac{22}{37}\) | |
| 3\(\frac{11}{21}\) | |
| -1\(\frac{1}{48}\) |
You need to find the value of c so solve the first equation in terms of x:
-9c + x = -5
x = -5 + 9c
then substitute the result (-5 - -9c) into the second equation:
c + 4(-5 + 9c) = 2
c + (4 x -5) + (4 x 9c) = 2
c - 20 + 36c = 2
c + 36c = 2 + 20
37c = 22
c = \( \frac{22}{37} \)
c = \(\frac{22}{37}\)
What is the circumference of a circle with a radius of 6?
| 7π | |
| 12π | |
| 4π | |
| 3π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 6)
c = 12π
Which of the following statements about a triangle is not true?
exterior angle = sum of two adjacent interior angles |
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area = ½bh |
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sum of interior angles = 180° |
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perimeter = sum of side lengths |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.