| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
If angle a = 23° and angle b = 23° what is the length of angle d?
| 151° | |
| 133° | |
| 142° | |
| 157° |
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° - 23° - 23° = 134°
So, d° = 23° + 134° = 157°
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° - 23° = 157°
The dimensions of this cube are height (h) = 7, length (l) = 9, and width (w) = 4. What is the volume?
| 12 | |
| 288 | |
| 36 | |
| 252 |
The volume of a cube is height x length x width:
v = h x l x w
v = 7 x 9 x 4
v = 252
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
|
acute, right, obtuse |
|
right, obtuse, acute |
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acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
|
quadrilateral |
|
trapezoid |
|
rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Solve 5b + 8b = -8b + 9x - 5 for b in terms of x.
| -1\(\frac{2}{5}\)x - \(\frac{1}{5}\) | |
| \(\frac{5}{8}\)x - \(\frac{3}{8}\) | |
| x - 9 | |
| \(\frac{1}{13}\)x - \(\frac{5}{13}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
5b + 8x = -8b + 9x - 5
5b = -8b + 9x - 5 - 8x
5b + 8b = 9x - 5 - 8x
13b = x - 5
b = \( \frac{x - 5}{13} \)
b = \( \frac{x}{13} \) + \( \frac{-5}{13} \)
b = \(\frac{1}{13}\)x - \(\frac{5}{13}\)