| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
If angle a = 21° and angle b = 48° what is the length of angle d?
| 159° | |
| 145° | |
| 136° | |
| 143° |
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° - 21° - 48° = 111°
So, d° = 48° + 111° = 159°
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° - 21° = 159°
What is 3a6 - 3a6?
| 0a6 | |
| a612 | |
| 9a6 | |
| 9a12 |
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.
3a6 - 3a6 = 0a6
A coordinate grid is composed of which of the following?
all of these |
|
y-axis |
|
origin |
|
x-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
On this circle, a line segment connecting point A to point D is called:
radius |
|
diameter |
|
chord |
|
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 7a - 2a?
| a2 | |
| 14a | |
| 9a2 | |
| 5a |
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.
7a - 2a = 5a