| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
Which of the following statements about a parallelogram is not true?
the perimeter of a parallelogram is the sum of the lengths of all sides |
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the area of a parallelogram is base x height |
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opposite sides and adjacent angles are equal |
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a parallelogram is a quadrilateral |
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).
For this diagram, the Pythagorean theorem states that b2 = ?
c2 - a2 |
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c2 + a2 |
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a2 - c2 |
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c - a |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
Which of the following expressions contains exactly two terms?
binomial |
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polynomial |
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quadratic |
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monomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
If angle a = 34° and angle b = 55° what is the length of angle d?
| 146° | |
| 150° | |
| 155° | |
| 124° |
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° - 34° - 55° = 91°
So, d° = 55° + 91° = 146°
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° - 34° = 146°
What is 2a9 - 5a9?
| -3a9 | |
| a918 | |
| -3a18 | |
| 10a9 |
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.
2a9 - 5a9 = -3a9