| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
If side a = 5, side b = 9, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{130} \) | |
| \( \sqrt{53} \) | |
| \( \sqrt{106} \) | |
| \( \sqrt{40} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 52 + 92
c2 = 25 + 81
c2 = 106
c = \( \sqrt{106} \)
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
|
squaring |
|
factoring |
|
normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
What is the area of a circle with a radius of 3?
| 9π | |
| 8π | |
| 4π | |
| 2π |
The formula for area is πr2:
a = πr2
a = π(32)
a = 9π
If the base of this triangle is 9 and the height is 3, what is the area?
| 77 | |
| 13\(\frac{1}{2}\) | |
| 36 | |
| 91 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 9 x 3 = \( \frac{27}{2} \) = 13\(\frac{1}{2}\)
Which of the following statements about parallel lines with a transversal is not correct?
angles in the same position on different parallel lines are called corresponding angles |
|
same-side interior angles are complementary and equal each other |
|
all of the angles formed by a transversal are called interior angles |
|
all acute angles equal each other |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).