| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
If BD = 6 and AD = 13, AB = ?
| 1 | |
| 12 | |
| 14 | |
| 7 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDWhat is the area of a circle with a diameter of 6?
| 2π | |
| 81π | |
| 9π | |
| 6π |
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 the circumference of a circle with a diameter of 9?
| 14π | |
| 17π | |
| 15π | |
| 9π |
The formula for circumference is circle diameter x π:
c = πd
c = 9π
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
|
acute, obtuse |
|
supplementary, vertical |
|
obtuse, acute |
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).
Solve for z:
-9z + 3 = \( \frac{z}{-7} \)
| \(\frac{21}{62}\) | |
| -\(\frac{4}{23}\) | |
| -\(\frac{16}{63}\) | |
| \(\frac{54}{55}\) |
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.
-9z + 3 = \( \frac{z}{-7} \)
-7 x (-9z + 3) = z
(-7 x -9z) + (-7 x 3) = z
63z - 21 = z
63z - 21 - z = 0
63z - z = 21
62z = 21
z = \( \frac{21}{62} \)
z = \(\frac{21}{62}\)