| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.58 |
| Score | 0% | 72% |
If a = 7, b = 9, c = 9, and d = 5, what is the perimeter of this quadrilateral?
| 31 | |
| 16 | |
| 30 | |
| 22 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 7 + 9 + 9 + 5
p = 30
Solve for b:
b + 10 = 9 + 7b
| -\(\frac{5}{8}\) | |
| \(\frac{1}{6}\) | |
| 3 | |
| \(\frac{1}{3}\) |
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 equal sign and the answer on the other.
b + 10 = 9 + 7b
b = 9 + 7b - 10
b - 7b = 9 - 10
-6b = -1
b = \( \frac{-1}{-6} \)
b = \(\frac{1}{6}\)
If angle a = 26° and angle b = 39° what is the length of angle c?
| 90° | |
| 49° | |
| 64° | |
| 115° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 26° - 39° = 115°
Which of the following is not true about both rectangles and squares?
the area is length x width |
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all interior angles are right angles |
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the lengths of all sides are equal |
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the perimeter is the sum of the lengths of all four sides |
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).
Order the following types of angle from least number of degrees to most number of degrees.
right, obtuse, acute |
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right, acute, obtuse |
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acute, obtuse, right |
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acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.