| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.64 |
| Score | 0% | 73% |
A right angle measures:
180° |
|
45° |
|
360° |
|
90° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
If a = 7, b = 3, c = 9, and d = 4, what is the perimeter of this quadrilateral?
| 23 | |
| 21 | |
| 20 | |
| 12 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 7 + 3 + 9 + 4
p = 23
Solve for a:
4a - 4 = \( \frac{a}{4} \)
| -\(\frac{8}{9}\) | |
| 1\(\frac{1}{15}\) | |
| 7 | |
| -1\(\frac{11}{14}\) |
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.
4a - 4 = \( \frac{a}{4} \)
4 x (4a - 4) = a
(4 x 4a) + (4 x -4) = a
16a - 16 = a
16a - 16 - a = 0
16a - a = 16
15a = 16
a = \( \frac{16}{15} \)
a = 1\(\frac{1}{15}\)
If side a = 9, side b = 7, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{90} \) | |
| \( \sqrt{68} \) | |
| \( \sqrt{130} \) | |
| \( \sqrt{117} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 72
c2 = 81 + 49
c2 = 130
c = \( \sqrt{130} \)
If BD = 5 and AD = 12, AB = ?
| 16 | |
| 6 | |
| 7 | |
| 19 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD