| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.76 |
| Score | 0% | 55% |
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
|
equilateral, isosceles and right |
|
equilateral and right |
|
equilateral and isosceles |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
The dimensions of this cube are height (h) = 1, length (l) = 8, and width (w) = 4. What is the surface area?
| 286 | |
| 148 | |
| 168 | |
| 88 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 8 x 4) + (2 x 4 x 1) + (2 x 8 x 1)
sa = (64) + (8) + (16)
sa = 88
What is 4a - 3a?
| a2 | |
| 12a | |
| 12a2 | |
| 1a |
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.
4a - 3a = 1a
If angle a = 37° and angle b = 40° what is the length of angle d?
| 136° | |
| 143° | |
| 130° | |
| 142° |
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° - 40° = 103°
So, d° = 40° + 103° = 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 9a + a = 2a + x + 4 for a in terms of x.
| -x - 6 | |
| -\(\frac{1}{7}\)x - 1 | |
| x + \(\frac{4}{7}\) | |
| -5x + 2\(\frac{2}{3}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
9a + x = 2a + x + 4
9a = 2a + x + 4 - x
9a - 2a = x + 4 - x
7a = + 4
a = \( \frac{ + 4}{7} \)
a = \( \frac{}{7} \) + \( \frac{4}{7} \)
a = x + \(\frac{4}{7}\)