| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.63 |
| Score | 0% | 73% |
A quadrilateral is a shape with __________ sides.
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A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
If angle a = 31° and angle b = 40° what is the length of angle c?
| 109° | |
| 46° | |
| 86° | |
| 118° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 31° - 40° = 109°
If a = 7, b = 4, c = 2, and d = 9, what is the perimeter of this quadrilateral?
| 20 | |
| 29 | |
| 22 | |
| 19 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 7 + 4 + 2 + 9
p = 22
If angle a = 37° and angle b = 39° what is the length of angle d?
| 143° | |
| 134° | |
| 115° | |
| 146° |
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° - 37° - 39° = 104°
So, d° = 39° + 104° = 143°
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° - 37° = 143°
Simplify (7a)(5ab) - (5a2)(8b).
| -5a2b | |
| 75ab2 | |
| 5ab2 | |
| 75a2b |
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)(5ab) - (5a2)(8b)
(7 x 5)(a x a x b) - (5 x 8)(a2 x b)
(35)(a1+1 x b) - (40)(a2b)
35a2b - 40a2b
-5a2b