| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
Solve for c:
-6c - 1 = -4 - 4c
| -2\(\frac{1}{4}\) | |
| -6 | |
| 1\(\frac{1}{2}\) | |
| \(\frac{2}{9}\) |
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.
-6c - 1 = -4 - 4c
-6c = -4 - 4c + 1
-6c + 4c = -4 + 1
-2c = -3
c = \( \frac{-3}{-2} \)
c = 1\(\frac{1}{2}\)
What is the circumference of a circle with a diameter of 13?
| 18π | |
| 12π | |
| 13π | |
| 9π |
The formula for circumference is circle diameter x π:
c = πd
c = 13π
What is the area of a circle with a radius of 4?
| 8π | |
| 81π | |
| 7π | |
| 16π |
The formula for area is πr2:
a = πr2
a = π(42)
a = 16π
If angle a = 45° and angle b = 36° what is the length of angle d?
| 135° | |
| 144° | |
| 137° | |
| 132° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 45° - 36° = 99°
So, d° = 36° + 99° = 135°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 45° = 135°
On this circle, line segment CD 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).