| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.49 |
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Solve 7c - 5c = -5c - 9z - 7 for c in terms of z.
| \(\frac{1}{6}\)z + 1\(\frac{1}{3}\) | |
| z + \(\frac{3}{10}\) | |
| -\(\frac{1}{3}\)z - \(\frac{7}{12}\) | |
| -3\(\frac{1}{2}\)z - 1 |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
7c - 5z = -5c - 9z - 7
7c = -5c - 9z - 7 + 5z
7c + 5c = -9z - 7 + 5z
12c = -4z - 7
c = \( \frac{-4z - 7}{12} \)
c = \( \frac{-4z}{12} \) + \( \frac{-7}{12} \)
c = -\(\frac{1}{3}\)z - \(\frac{7}{12}\)
Which of the following statements about a parallelogram is not true?
the perimeter of a parallelogram is the sum of the lengths of all sides |
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a parallelogram is a quadrilateral |
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the area of a parallelogram is base x height |
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opposite sides and adjacent angles are equal |
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).
The dimensions of this trapezoid are a = 4, b = 8, c = 6, d = 3, and h = 2. What is the area?
| 11 | |
| 8 | |
| 14 | |
| 16 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(8 + 3)(2)
a = ½(11)(2)
a = ½(22) = \( \frac{22}{2} \)
a = 11
What is the circumference of a circle with a radius of 8?
| 16π | |
| 14π | |
| 8π | |
| 36π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 8)
c = 16π
If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
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midpoints |
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intersects |
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trisects |
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.