| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
If a = 9, b = 4, c = 6, and d = 3, what is the perimeter of this quadrilateral?
| 27 | |
| 22 | |
| 23 | |
| 15 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 9 + 4 + 6 + 3
p = 22
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
|
supplementary, vertical |
|
acute, obtuse |
|
obtuse, acute |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
Simplify (y - 2)(y + 4)
| y2 - 6y + 8 | |
| y2 - 2y - 8 | |
| y2 + 2y - 8 | |
| y2 + 6y + 8 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 2)(y + 4)
(y x y) + (y x 4) + (-2 x y) + (-2 x 4)
y2 + 4y - 2y - 8
y2 + 2y - 8
Solve for a:
3a - 5 < 4 + 2a
| a < -\(\frac{1}{7}\) | |
| a < \(\frac{5}{7}\) | |
| a < 9 | |
| a < 1 |
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.
3a - 5 < 4 + 2a
3a < 4 + 2a + 5
3a - 2a < 4 + 5
a < 9
If side a = 7, side b = 6, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{90} \) | |
| \( \sqrt{85} \) | |
| \( \sqrt{5} \) | |
| 10 |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 62
c2 = 49 + 36
c2 = 85
c = \( \sqrt{85} \)