| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.94 |
| Score | 0% | 59% |
Which of the following is not true about both rectangles and squares?
the perimeter is the sum of the lengths of all four sides |
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the area is length x width |
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all interior angles are right angles |
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the lengths of all sides are equal |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
Solve for x:
-6x - 2 < -3 + 2x
| x < -1\(\frac{1}{2}\) | |
| x < -1\(\frac{3}{4}\) | |
| x < \(\frac{1}{8}\) | |
| x < \(\frac{5}{9}\) |
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.
-6x - 2 < -3 + 2x
-6x < -3 + 2x + 2
-6x - 2x < -3 + 2
-8x < -1
x < \( \frac{-1}{-8} \)
x < \(\frac{1}{8}\)
If angle a = 63° and angle b = 30° what is the length of angle c?
| 58° | |
| 94° | |
| 125° | |
| 87° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 63° - 30° = 87°
Solve for x:
-3x + 9 > \( \frac{x}{-9} \)
| x > \(\frac{20}{21}\) | |
| x > \(\frac{6}{19}\) | |
| x > 3\(\frac{3}{26}\) | |
| x > 1\(\frac{1}{53}\) |
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.
-3x + 9 > \( \frac{x}{-9} \)
-9 x (-3x + 9) > x
(-9 x -3x) + (-9 x 9) > x
27x - 81 > x
27x - 81 - x > 0
27x - x > 81
26x > 81
x > \( \frac{81}{26} \)
x > 3\(\frac{3}{26}\)
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
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obtuse, acute |
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vertical, supplementary |
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acute, obtuse |
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).