| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.66 |
| Score | 0% | 53% |
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
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quadrilateral |
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rhombus |
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trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
If a = c = 7, b = d = 9, and the blue angle = 50°, what is the area of this parallelogram?
| 63 | |
| 20 | |
| 4 | |
| 49 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 7 x 9
a = 63
If angle a = 34° and angle b = 46° what is the length of angle d?
| 132° | |
| 160° | |
| 146° | |
| 137° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 34° - 46° = 100°
So, d° = 46° + 100° = 146°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 34° = 146°
Which of the following is not required to define the slope-intercept equation for a line?
\({\Delta y \over \Delta x}\) |
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x-intercept |
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slope |
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y-intercept |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
Factor y2 - 2y - 48
| (y - 8)(y + 6) | |
| (y + 8)(y - 6) | |
| (y - 8)(y - 6) | |
| (y + 8)(y + 6) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -48 as well and sum (Inside, Outside) to equal -2. For this problem, those two numbers are -8 and 6. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 2y - 48
y2 + (-8 + 6)y + (-8 x 6)
(y - 8)(y + 6)