| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
If a = c = 1, b = d = 5, and the blue angle = 68°, what is the area of this parallelogram?
| 54 | |
| 10 | |
| 5 | |
| 18 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 1 x 5
a = 5
If angle a = 25° and angle b = 51° what is the length of angle d?
| 117° | |
| 142° | |
| 155° | |
| 121° |
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° - 25° - 51° = 104°
So, d° = 51° + 104° = 155°
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° - 25° = 155°
What is the area of a circle with a radius of 2?
| 9π | |
| 81π | |
| 2π | |
| 4π |
The formula for area is πr2:
a = πr2
a = π(22)
a = 4π
If angle a = 53° and angle b = 62° what is the length of angle c?
| 120° | |
| 65° | |
| 68° | |
| 110° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 53° - 62° = 65°
Solve for c:
-c - 5 > \( \frac{c}{4} \)
| c > -\(\frac{18}{41}\) | |
| c > -1\(\frac{2}{3}\) | |
| c > -4 | |
| c > 1\(\frac{5}{22}\) |
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 > sign and the answer on the other.
-c - 5 > \( \frac{c}{4} \)
4 x (-c - 5) > c
(4 x -c) + (4 x -5) > c
-4c - 20 > c
-4c - 20 - c > 0
-4c - c > 20
-5c > 20
c > \( \frac{20}{-5} \)
c > -4