| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.57 |
| Score | 0% | 71% |
If side a = 9, side b = 2, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{85} \) | |
| 5 | |
| \( \sqrt{2} \) | |
| \( \sqrt{82} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 22
c2 = 81 + 4
c2 = 85
c = \( \sqrt{85} \)
If side x = 7cm, side y = 13cm, and side z = 10cm what is the perimeter of this triangle?
| 35cm | |
| 22cm | |
| 39cm | |
| 30cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 7cm + 13cm + 10cm = 30cm
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
|
vertical, supplementary |
|
acute, obtuse |
|
supplementary, vertical |
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).
What is 3a - 3a?
| 2 | |
| 0a | |
| 9a2 | |
| 9a |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
3a - 3a = 0a
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
h2 x l2 x w2 |
|
h x l x w |
|
2lw x 2wh + 2lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.