| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.76 |
| Score | 0% | 55% |
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
|
rhombus |
|
triangle |
|
quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Solve for x:
-4x + 2 < -6 - 5x
| x < -\(\frac{1}{4}\) | |
| x < -8 | |
| x < -\(\frac{3}{4}\) | |
| x < \(\frac{1}{3}\) |
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.
-4x + 2 < -6 - 5x
-4x < -6 - 5x - 2
-4x + 5x < -6 - 2
x < -8
Solve for b:
-8b - 2 = 4 - 4b
| -1\(\frac{1}{2}\) | |
| 2\(\frac{1}{3}\) | |
| -2\(\frac{1}{2}\) | |
| 1\(\frac{1}{7}\) |
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 - 2 = 4 - 4b
-8b = 4 - 4b + 2
-8b + 4b = 4 + 2
-4b = 6
b = \( \frac{6}{-4} \)
b = -1\(\frac{1}{2}\)
The dimensions of this cylinder are height (h) = 2 and radius (r) = 4. What is the surface area?
| 42π | |
| 4π | |
| 208π | |
| 48π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 2)
sa = 2π(16) + 2π(8)
sa = (2 x 16)π + (2 x 8)π
sa = 32π + 16π
sa = 48π
Which of the following is not true about both rectangles and squares?
the perimeter is the sum of the lengths of all four sides |
|
the area is length x width |
|
the lengths of all sides are equal |
|
all interior angles are right angles |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).