| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.86 |
| Score | 0% | 57% |
Solve for z:
5z - 8 > \( \frac{z}{3} \)
| z > 1\(\frac{5}{7}\) | |
| z > -1\(\frac{5}{43}\) | |
| z > 9 | |
| z > 2\(\frac{2}{3}\) |
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.
5z - 8 > \( \frac{z}{3} \)
3 x (5z - 8) > z
(3 x 5z) + (3 x -8) > z
15z - 24 > z
15z - 24 - z > 0
15z - z > 24
14z > 24
z > \( \frac{24}{14} \)
z > 1\(\frac{5}{7}\)
If a = c = 8, b = d = 5, and the blue angle = 71°, what is the area of this parallelogram?
| 20 | |
| 40 | |
| 16 | |
| 56 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 8 x 5
a = 40
Which of the following is not true about both rectangles and squares?
the lengths of all sides are equal |
|
all interior angles are right angles |
|
the perimeter is the sum of the lengths of all four sides |
|
the area is length x width |
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).
If angle a = 61° and angle b = 59° what is the length of angle c?
| 55° | |
| 60° | |
| 102° | |
| 98° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 61° - 59° = 60°
If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
|
midpoints |
|
intersects |
|
bisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.