| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
If angle a = 58° and angle b = 51° what is the length of angle d?
| 148° | |
| 122° | |
| 142° | |
| 155° |
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° - 58° - 51° = 71°
So, d° = 51° + 71° = 122°
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° - 58° = 122°
The dimensions of this cube are height (h) = 8, length (l) = 7, and width (w) = 2. What is the surface area?
| 22 | |
| 202 | |
| 104 | |
| 172 |
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 7 x 2) + (2 x 2 x 8) + (2 x 7 x 8)
sa = (28) + (32) + (112)
sa = 172
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
|
trapezoid |
|
quadrilateral |
|
triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
What is 2a4 - 5a4?
| a48 | |
| -3a4 | |
| 7a8 | |
| -3a8 |
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.
2a4 - 5a4 = -3a4
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
|
Odd |
|
Last |
|
Inside |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.