| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
If angle a = 50° and angle b = 40° what is the length of angle c?
| 122° | |
| 80° | |
| 124° | |
| 90° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 50° - 40° = 90°
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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opposite sides and adjacent angles are equal |
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the area of a parallelogram is base x height |
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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).
If a = 9, b = 6, c = 8, and d = 9, what is the perimeter of this quadrilateral?
| 16 | |
| 17 | |
| 32 | |
| 14 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 9 + 6 + 8 + 9
p = 32
If angle a = 50° and angle b = 57° what is the length of angle d?
| 136° | |
| 138° | |
| 130° | |
| 140° |
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° - 50° - 57° = 73°
So, d° = 57° + 73° = 130°
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° - 50° = 130°
Simplify 7a x 4b.
| 28ab | |
| 28a2b2 | |
| 28\( \frac{a}{b} \) | |
| 11ab |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
7a x 4b = (7 x 4) (a x b) = 28ab