| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
If a = c = 7, b = d = 2, and the blue angle = 54°, what is the area of this parallelogram?
| 14 | |
| 9 | |
| 72 | |
| 20 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 7 x 2
a = 14
If side a = 6, side b = 6, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{5} \) | |
| 10 | |
| \( \sqrt{72} \) | |
| \( \sqrt{10} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 62 + 62
c2 = 36 + 36
c2 = 72
c = \( \sqrt{72} \)
Which of the following statements about math operations is incorrect?
you can add monomials that have the same variable and the same exponent |
|
all of these statements are correct |
|
you can multiply monomials that have different variables and different exponents |
|
you can subtract monomials that have the same variable and the same exponent |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
Which of the following statements about a parallelogram is not true?
opposite sides and adjacent angles are equal |
|
the perimeter of a parallelogram is the sum of the lengths of all sides |
|
a parallelogram is a quadrilateral |
|
the area of a parallelogram is base x height |
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).
Solve for b:
8b + 4 = -5 - 6b
| -\(\frac{9}{14}\) | |
| 2\(\frac{1}{3}\) | |
| 1 | |
| -1 |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
8b + 4 = -5 - 6b
8b = -5 - 6b - 4
8b + 6b = -5 - 4
14b = -9
b = \( \frac{-9}{14} \)
b = -\(\frac{9}{14}\)