| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
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 lengths of all sides are equal |
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all interior angles are right angles |
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the area is length x width |
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).
If BD = 8 and AD = 13, AB = ?
| 15 | |
| 17 | |
| 5 | |
| 6 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDSimplify (y - 4)(y + 2)
| y2 - 2y - 8 | |
| y2 - 6y + 8 | |
| y2 + 6y + 8 | |
| y2 + 2y - 8 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 4)(y + 2)
(y x y) + (y x 2) + (-4 x y) + (-4 x 2)
y2 + 2y - 4y - 8
y2 - 2y - 8
Solve for x:
-6x + 9 < 4 + 6x
| x < \(\frac{7}{9}\) | |
| x < -2\(\frac{1}{2}\) | |
| x < \(\frac{2}{3}\) | |
| x < \(\frac{5}{12}\) |
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 + 9 < 4 + 6x
-6x < 4 + 6x - 9
-6x - 6x < 4 - 9
-12x < -5
x < \( \frac{-5}{-12} \)
x < \(\frac{5}{12}\)
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
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equal angle |
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equal length |
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right angle |
A trapezoid is a quadrilateral with one set of parallel sides.