| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.53 |
| Score | 0% | 71% |
If a = 9, b = 5, c = 1, and d = 1, what is the perimeter of this quadrilateral?
| 13 | |
| 12 | |
| 16 | |
| 19 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 9 + 5 + 1 + 1
p = 16
The dimensions of this cube are height (h) = 2, length (l) = 3, and width (w) = 9. What is the surface area?
| 52 | |
| 102 | |
| 124 | |
| 168 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 9) + (2 x 9 x 2) + (2 x 3 x 2)
sa = (54) + (36) + (12)
sa = 102
What is 6a + 7a?
| 13 | |
| 13a2 | |
| 42a | |
| 13a |
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.
6a + 7a = 13a
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
|
right, acute, obtuse |
|
right, obtuse, acute |
|
acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
If angle a = 49° and angle b = 41° what is the length of angle d?
| 129° | |
| 132° | |
| 131° | |
| 127° |
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° - 49° - 41° = 90°
So, d° = 41° + 90° = 131°
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° - 49° = 131°