| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
If side a = 1, side b = 9, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{65} \) | |
| 10 | |
| \( \sqrt{20} \) | |
| \( \sqrt{82} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 12 + 92
c2 = 1 + 81
c2 = 82
c = \( \sqrt{82} \)
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
|
quadrilateral |
|
triangle |
|
trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Which of the following expressions contains exactly two terms?
monomial |
|
quadratic |
|
binomial |
|
polynomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
If angle a = 55° and angle b = 28° what is the length of angle d?
| 134° | |
| 124° | |
| 156° | |
| 125° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 55° - 28° = 97°
So, d° = 28° + 97° = 125°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 55° = 125°
Solve for x:
2x + 1 < -7 - x
| x < 3 | |
| x < 1\(\frac{1}{6}\) | |
| x < -2\(\frac{2}{3}\) | |
| x < \(\frac{3}{8}\) |
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.
2x + 1 < -7 - x
2x < -7 - x - 1
2x + x < -7 - 1
3x < -8
x < \( \frac{-8}{3} \)
x < -2\(\frac{2}{3}\)