| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
A right angle measures:
360° |
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180° |
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90° |
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45° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
If a = c = 7, b = d = 2, what is the area of this rectangle?
| 14 | |
| 12 | |
| 27 | |
| 32 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 7 x 2
a = 14
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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opposite sides and adjacent angles are equal |
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the area of a parallelogram is base x height |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
Solve for b:
-7b + 6 > \( \frac{b}{-5} \)
| b > -\(\frac{5}{8}\) | |
| b > -7 | |
| b > \(\frac{7}{8}\) | |
| b > \(\frac{15}{17}\) |
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.
-7b + 6 > \( \frac{b}{-5} \)
-5 x (-7b + 6) > b
(-5 x -7b) + (-5 x 6) > b
35b - 30 > b
35b - 30 - b > 0
35b - b > 30
34b > 30
b > \( \frac{30}{34} \)
b > \(\frac{15}{17}\)
Which of the following is not required to define the slope-intercept equation for a line?
slope |
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x-intercept |
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y-intercept |
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\({\Delta y \over \Delta x}\) |
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.