| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.41 |
| Score | 0% | 68% |
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
|
acute, right, obtuse |
|
right, acute, obtuse |
|
right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Solve for a:
a2 + + 0 = -2a + 3
| -2 or -5 | |
| 9 or -8 | |
| 5 or -8 | |
| 1 or -3 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
a2 + + 0 = -2a + 3
a2 + + 0 - 3 = -2a
a2 + + 2a - 3 = 0
a2 + 2a - 3 = 0
Next, factor the quadratic equation:
a2 + 2a - 3 = 0
(a - 1)(a + 3) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 1) or (a + 3) must equal zero:
If (a - 1) = 0, a must equal 1
If (a + 3) = 0, a must equal -3
So the solution is that a = 1 or -3
If angle a = 68° and angle b = 61° what is the length of angle c?
| 99° | |
| 51° | |
| 104° | |
| 106° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 68° - 61° = 51°
What is 6a - 5a?
| 1a | |
| 30a2 | |
| a2 | |
| 11a2 |
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 - 5a = 1a
If a = c = 1, b = d = 9, and the blue angle = 79°, what is the area of this parallelogram?
| 6 | |
| 18 | |
| 48 | |
| 9 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 1 x 9
a = 9