| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
|
supplementary, vertical |
|
acute, obtuse |
|
vertical, supplementary |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
If the base of this triangle is 7 and the height is 3, what is the area?
| 98 | |
| 17\(\frac{1}{2}\) | |
| 10\(\frac{1}{2}\) | |
| 22\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 7 x 3 = \( \frac{21}{2} \) = 10\(\frac{1}{2}\)
What is the circumference of a circle with a radius of 3?
| 11π | |
| 6π | |
| 5π | |
| 4π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 3)
c = 6π
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Inside |
|
First |
|
Odd |
|
Last |
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.
Solve for z:
2z - 1 = \( \frac{z}{-9} \)
| -1\(\frac{1}{4}\) | |
| \(\frac{9}{19}\) | |
| 1\(\frac{23}{25}\) | |
| -\(\frac{1}{8}\) |
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.
2z - 1 = \( \frac{z}{-9} \)
-9 x (2z - 1) = z
(-9 x 2z) + (-9 x -1) = z
-18z + 9 = z
-18z + 9 - z = 0
-18z - z = -9
-19z = -9
z = \( \frac{-9}{-19} \)
z = \(\frac{9}{19}\)