| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.78 |
| Score | 0% | 56% |
If a = c = 2, b = d = 3, and the blue angle = 55°, what is the area of this parallelogram?
| 72 | |
| 6 | |
| 35 | |
| 24 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 2 x 3
a = 6
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
|
right, obtuse, acute |
|
right, acute, obtuse |
|
acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Solve for y:
-4y + 5 > \( \frac{y}{-7} \)
| y > \(\frac{6}{7}\) | |
| y > \(\frac{36}{41}\) | |
| y > 1\(\frac{8}{27}\) | |
| y > \(\frac{5}{8}\) |
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 > sign and the answer on the other.
-4y + 5 > \( \frac{y}{-7} \)
-7 x (-4y + 5) > y
(-7 x -4y) + (-7 x 5) > y
28y - 35 > y
28y - 35 - y > 0
28y - y > 35
27y > 35
y > \( \frac{35}{27} \)
y > 1\(\frac{8}{27}\)
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
|
rhombus |
|
triangle |
|
trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Find the value of b:
-8b + z = -1
9b - 4z = -3
| -\(\frac{2}{5}\) | |
| 1\(\frac{2}{57}\) | |
| \(\frac{7}{23}\) | |
| -\(\frac{3}{14}\) |
You need to find the value of b so solve the first equation in terms of z:
-8b + z = -1
z = -1 + 8b
then substitute the result (-1 - -8b) into the second equation:
9b - 4(-1 + 8b) = -3
9b + (-4 x -1) + (-4 x 8b) = -3
9b + 4 - 32b = -3
9b - 32b = -3 - 4
-23b = -7
b = \( \frac{-7}{-23} \)
b = \(\frac{7}{23}\)