| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.56 |
| Score | 0% | 71% |
If angle a = 33° and angle b = 49° what is the length of angle d?
| 154° | |
| 150° | |
| 147° | |
| 120° |
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° - 33° - 49° = 98°
So, d° = 49° + 98° = 147°
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° - 33° = 147°
What is 3a9 + 4a9?
| 7 | |
| 7a9 | |
| -1 | |
| a918 |
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.
3a9 + 4a9 = 7a9
What is 5a - 4a?
| 1a | |
| 9a2 | |
| 1 | |
| 20a |
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.
5a - 4a = 1a
If side a = 8, side b = 2, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{68} \) | |
| \( \sqrt{20} \) | |
| \( \sqrt{80} \) | |
| \( \sqrt{128} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 82 + 22
c2 = 64 + 4
c2 = 68
c = \( \sqrt{68} \)
What is 6a + 4a?
| 24a | |
| a2 | |
| 10a | |
| 2a2 |
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.
6a + 4a = 10a