| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.53 |
| Score | 0% | 71% |
If side x = 15cm, side y = 12cm, and side z = 15cm what is the perimeter of this triangle?
| 27cm | |
| 34cm | |
| 42cm | |
| 38cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 15cm + 12cm + 15cm = 42cm
Solve for a:
a + 6 > \( \frac{a}{6} \)
| a > -\(\frac{7}{9}\) | |
| a > -7\(\frac{1}{5}\) | |
| a > -\(\frac{72}{73}\) | |
| a > -3\(\frac{1}{5}\) |
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.
a + 6 > \( \frac{a}{6} \)
6 x (a + 6) > a
(6 x a) + (6 x 6) > a
6a + 36 > a
6a + 36 - a > 0
6a - a > -36
5a > -36
a > \( \frac{-36}{5} \)
a > -7\(\frac{1}{5}\)
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
|
acute, obtuse |
|
supplementary, vertical |
|
vertical, supplementary |
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 2a - 6a?
| -4a | |
| a2 | |
| -4 | |
| -4a2 |
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.
2a - 6a = -4a
What is 2a + 9a?
| 18a2 | |
| a2 | |
| -7a2 | |
| 11a |
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.
2a + 9a = 11a