| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
This diagram represents two parallel lines with a transversal. If a° = 26, what is the value of c°?
| 26 | |
| 37 | |
| 143 | |
| 159 |
For parallel lines with a transversal, the following relationships apply:
Applying these relationships starting with a° = 26, the value of c° is 26.
Solve for y:
y - 9 = \( \frac{y}{5} \)
| \(\frac{56}{57}\) | |
| -1\(\frac{1}{11}\) | |
| -9 | |
| 11\(\frac{1}{4}\) |
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.
y - 9 = \( \frac{y}{5} \)
5 x (y - 9) = y
(5 x y) + (5 x -9) = y
5y - 45 = y
5y - 45 - y = 0
5y - y = 45
4y = 45
y = \( \frac{45}{4} \)
y = 11\(\frac{1}{4}\)
The dimensions of this cube are height (h) = 1, length (l) = 8, and width (w) = 1. What is the volume?
| 42 | |
| 8 | |
| 320 | |
| 216 |
The volume of a cube is height x length x width:
v = h x l x w
v = 1 x 8 x 1
v = 8
What is the area of a circle with a diameter of 6?
| 81π | |
| 36π | |
| 9π | |
| 3π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π
What is 2a4 + 4a4?
| 8a4 | |
| 6a4 | |
| a48 | |
| 8a8 |
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 + 4a4 = 6a4