| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
If angle a = 46° and angle b = 65° what is the length of angle c?
| 69° | |
| 58° | |
| 83° | |
| 82° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 46° - 65° = 69°
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 |
|
acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
What is 2a - 9a?
| 18a2 | |
| a2 | |
| -7a | |
| -7a2 |
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.
2a - 9a = -7a
If side a = 1, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{61} \) | |
| \( \sqrt{17} \) | |
| \( \sqrt{26} \) | |
| \( \sqrt{117} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 12 + 52
c2 = 1 + 25
c2 = 26
c = \( \sqrt{26} \)
Solve for b:
8b + 3 = \( \frac{b}{-2} \)
| 1\(\frac{1}{6}\) | |
| -\(\frac{6}{17}\) | |
| -\(\frac{3}{7}\) | |
| -\(\frac{3}{10}\) |
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.
8b + 3 = \( \frac{b}{-2} \)
-2 x (8b + 3) = b
(-2 x 8b) + (-2 x 3) = b
-16b - 6 = b
-16b - 6 - b = 0
-16b - b = 6
-17b = 6
b = \( \frac{6}{-17} \)
b = -\(\frac{6}{17}\)