| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
|
right, obtuse, acute |
|
acute, obtuse, right |
|
acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
If angle a = 27° and angle b = 67° what is the length of angle d?
| 124° | |
| 135° | |
| 150° | |
| 153° |
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° - 27° - 67° = 86°
So, d° = 67° + 86° = 153°
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° - 27° = 153°
If angle a = 48° and angle b = 23° what is the length of angle c?
| 108° | |
| 109° | |
| 99° | |
| 93° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 48° - 23° = 109°
What is 3a + 7a?
| 10 | |
| 10a | |
| -4 | |
| -4a2 |
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.
3a + 7a = 10a
The dimensions of this cylinder are height (h) = 6 and radius (r) = 8. What is the surface area?
| 224π | |
| 140π | |
| 216π | |
| 66π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 6)
sa = 2π(64) + 2π(48)
sa = (2 x 64)π + (2 x 48)π
sa = 128π + 96π
sa = 224π