| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
|
right, acute, 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°.
Simplify 5a x 6b.
| 30ab | |
| 11ab | |
| 30\( \frac{a}{b} \) | |
| 30\( \frac{b}{a} \) |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
5a x 6b = (5 x 6) (a x b) = 30ab
If AD = 23 and BD = 15, AB = ?
| 5 | |
| 14 | |
| 3 | |
| 8 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDSolve for b:
9b + 5 = -2 - 5b
| \(\frac{3}{8}\) | |
| \(\frac{5}{8}\) | |
| -\(\frac{1}{5}\) | |
| -\(\frac{1}{2}\) |
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.
9b + 5 = -2 - 5b
9b = -2 - 5b - 5
9b + 5b = -2 - 5
14b = -7
b = \( \frac{-7}{14} \)
b = -\(\frac{1}{2}\)
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
|
c - a |
|
c2 - a2 |
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a2 - c2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)