| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
|
equal angle |
|
equal length |
|
right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
What is 4a - 9a?
| 36a | |
| -5a | |
| 13 | |
| 36a2 |
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.
4a - 9a = -5a
If angle a = 67° and angle b = 65° what is the length of angle c?
| 48° | |
| 56° | |
| 81° | |
| 85° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 67° - 65° = 48°
The endpoints of this line segment are at (-2, -2) and (2, 4). What is the slope-intercept equation for this line?
| y = -3x + 1 | |
| y = -\(\frac{1}{2}\)x + 0 | |
| y = -2\(\frac{1}{2}\)x - 3 | |
| y = 1\(\frac{1}{2}\)x + 1 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 1. 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, -2) and (2, 4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)Plugging these values into the slope-intercept equation:
y = 1\(\frac{1}{2}\)x + 1
If side a = 4, side b = 7, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{37} \) | |
| \( \sqrt{50} \) | |
| \( \sqrt{89} \) | |
| \( \sqrt{65} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 72
c2 = 16 + 49
c2 = 65
c = \( \sqrt{65} \)