| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
If side x = 10cm, side y = 8cm, and side z = 8cm what is the perimeter of this triangle?
| 29cm | |
| 21cm | |
| 26cm | |
| 30cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 10cm + 8cm + 8cm = 26cm
Simplify 4a x 8b.
| 12ab | |
| 32a2b2 | |
| 32\( \frac{b}{a} \) | |
| 32ab |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
4a x 8b = (4 x 8) (a x b) = 32ab
Solve for z:
-3z - 7 = -1 + 2z
| -6 | |
| -\(\frac{5}{7}\) | |
| -\(\frac{5}{6}\) | |
| -1\(\frac{1}{5}\) |
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 equal sign and the answer on the other.
-3z - 7 = -1 + 2z
-3z = -1 + 2z + 7
-3z - 2z = -1 + 7
-5z = 6
z = \( \frac{6}{-5} \)
z = -1\(\frac{1}{5}\)
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
|
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).
The endpoints of this line segment are at (-2, 4) and (2, 0). What is the slope of this line?
| 1\(\frac{1}{2}\) | |
| -1 | |
| \(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 4) and (2, 0) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (4.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)