| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
If side a = 9, side b = 1, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{98} \) | |
| \( \sqrt{61} \) | |
| \( \sqrt{74} \) | |
| \( \sqrt{82} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 12
c2 = 81 + 1
c2 = 82
c = \( \sqrt{82} \)
Solve for x:
6x + 8 > \( \frac{x}{3} \)
| x > 1\(\frac{1}{48}\) | |
| x > 1\(\frac{1}{5}\) | |
| x > -1\(\frac{7}{17}\) | |
| x > -4\(\frac{10}{11}\) |
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 > sign and the answer on the other.
6x + 8 > \( \frac{x}{3} \)
3 x (6x + 8) > x
(3 x 6x) + (3 x 8) > x
18x + 24 > x
18x + 24 - x > 0
18x - x > -24
17x > -24
x > \( \frac{-24}{17} \)
x > -1\(\frac{7}{17}\)
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
|
right, obtuse, acute |
|
acute, right, obtuse |
|
acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
If a = c = 6, b = d = 1, what is the area of this rectangle?
| 21 | |
| 4 | |
| 32 | |
| 6 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 6 x 1
a = 6
If AD = 19 and BD = 12, AB = ?
| 7 | |
| 17 | |
| 18 | |
| 3 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD