| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
If angle a = 48° and angle b = 24° what is the length of angle d?
| 125° | |
| 145° | |
| 133° | |
| 132° |
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° - 48° - 24° = 108°
So, d° = 24° + 108° = 132°
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° - 48° = 132°
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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all interior angles are right angles |
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the lengths of all sides are equal |
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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).
Which of the following expressions contains exactly two terms?
quadratic |
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monomial |
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binomial |
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polynomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
What is 9a - 6a?
| 15 | |
| 54a | |
| 3a | |
| 3 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
9a - 6a = 3a
The dimensions of this cylinder are height (h) = 3 and radius (r) = 7. What is the surface area?
| 140π | |
| 10π | |
| 126π | |
| 88π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(72) + 2π(7 x 3)
sa = 2π(49) + 2π(21)
sa = (2 x 49)π + (2 x 21)π
sa = 98π + 42π
sa = 140π