| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
On this circle, a line segment connecting point A to point D is called:
chord |
|
diameter |
|
radius |
|
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).
What is 7a6 - 3a6?
| 10a12 | |
| 4 | |
| a612 | |
| 4a6 |
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.
7a6 - 3a6 = 4a6
If a = 3, b = 8, c = 4, and d = 1, what is the perimeter of this quadrilateral?
| 17 | |
| 16 | |
| 25 | |
| 22 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 3 + 8 + 4 + 1
p = 16
Solve for c:
-2c + 8 = \( \frac{c}{6} \)
| \(\frac{3}{4}\) | |
| 13\(\frac{1}{2}\) | |
| -\(\frac{25}{46}\) | |
| 3\(\frac{9}{13}\) |
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.
-2c + 8 = \( \frac{c}{6} \)
6 x (-2c + 8) = c
(6 x -2c) + (6 x 8) = c
-12c + 48 = c
-12c + 48 - c = 0
-12c - c = -48
-13c = -48
c = \( \frac{-48}{-13} \)
c = 3\(\frac{9}{13}\)
If angle a = 52° and angle b = 48° what is the length of angle d?
| 128° | |
| 125° | |
| 117° | |
| 139° |
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° - 52° - 48° = 80°
So, d° = 48° + 80° = 128°
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° - 52° = 128°