| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
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).
Simplify (y - 7)(y - 2)
| y2 - 5y - 14 | |
| y2 + 5y - 14 | |
| y2 - 9y + 14 | |
| y2 + 9y + 14 |
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 - 7)(y - 2)
(y x y) + (y x -2) + (-7 x y) + (-7 x -2)
y2 - 2y - 7y + 14
y2 - 9y + 14
If a = 1, b = 6, c = 2, and d = 9, what is the perimeter of this quadrilateral?
| 23 | |
| 24 | |
| 8 | |
| 18 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 1 + 6 + 2 + 9
p = 18
The formula for the area of a circle is which of the following?
c = π r |
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c = π d2 |
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c = π d |
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c = π r2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
This diagram represents two parallel lines with a transversal. If y° = 161, what is the value of z°?
| 39 | |
| 166 | |
| 19 | |
| 147 |
For parallel lines with a transversal, the following relationships apply:
Applying these relationships starting with y° = 161, the value of z° is 19.