| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
A right angle measures:
45° |
|
90° |
|
180° |
|
360° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
If a = c = 6, b = d = 4, what is the area of this rectangle?
| 36 | |
| 24 | |
| 42 | |
| 8 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 6 x 4
a = 24
If angle a = 37° and angle b = 24° what is the length of angle d?
| 139° | |
| 154° | |
| 119° | |
| 143° |
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° - 37° - 24° = 119°
So, d° = 24° + 119° = 143°
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° - 37° = 143°
Solve for x:
-8x - 1 = \( \frac{x}{2} \)
| \(\frac{27}{37}\) | |
| -1\(\frac{10}{71}\) | |
| -\(\frac{16}{39}\) | |
| -\(\frac{2}{17}\) |
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.
-8x - 1 = \( \frac{x}{2} \)
2 x (-8x - 1) = x
(2 x -8x) + (2 x -1) = x
-16x - 2 = x
-16x - 2 - x = 0
-16x - x = 2
-17x = 2
x = \( \frac{2}{-17} \)
x = -\(\frac{2}{17}\)
What is 4a6 + 7a6?
| -3 | |
| 11a12 | |
| 28a6 | |
| 11a6 |
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.
4a6 + 7a6 = 11a6