| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.92 |
| Score | 0% | 58% |
If angle a = 47° and angle b = 64° what is the length of angle c?
| 74° | |
| 69° | |
| 79° | |
| 76° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 47° - 64° = 69°
The formula for the area of a circle is which of the following?
a = π r |
|
a = π d |
|
a = π r2 |
|
a = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Find the value of c:
-4c + x = 5
-6c - 3x = 6
| -1\(\frac{5}{21}\) | |
| -1\(\frac{1}{6}\) | |
| \(\frac{34}{89}\) | |
| \(\frac{23}{29}\) |
You need to find the value of c so solve the first equation in terms of x:
-4c + x = 5
x = 5 + 4c
then substitute the result (5 - -4c) into the second equation:
-6c - 3(5 + 4c) = 6
-6c + (-3 x 5) + (-3 x 4c) = 6
-6c - 15 - 12c = 6
-6c - 12c = 6 + 15
-18c = 21
c = \( \frac{21}{-18} \)
c = -1\(\frac{1}{6}\)
The endpoints of this line segment are at (-2, 3) and (2, -3). What is the slope of this line?
| 2 | |
| -\(\frac{1}{2}\) | |
| -1\(\frac{1}{2}\) | |
| 1 |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 3) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)If angle a = 36° and angle b = 58° what is the length of angle d?
| 144° | |
| 136° | |
| 125° | |
| 129° |
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° - 36° - 58° = 86°
So, d° = 58° + 86° = 144°
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° - 36° = 144°