| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
If BD = 19 and AD = 21, AB = ?
| 2 | |
| 11 | |
| 15 | |
| 9 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDSimplify (3a)(3ab) + (6a2)(5b).
| -21a2b | |
| 39a2b | |
| 21ab2 | |
| 66ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(3a)(3ab) + (6a2)(5b)
(3 x 3)(a x a x b) + (6 x 5)(a2 x b)
(9)(a1+1 x b) + (30)(a2b)
9a2b + 30a2b
39a2b
If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
|
bisects |
|
intersects |
|
midpoints |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
If angle a = 62° and angle b = 41° what is the length of angle d?
| 118° | |
| 123° | |
| 112° | |
| 148° |
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° - 62° - 41° = 77°
So, d° = 41° + 77° = 118°
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° - 62° = 118°
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
|
h2 x l2 x w2 |
|
lw x wh + lh |
|
2lw x 2wh + 2lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.