| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.75 |
| Score | 0% | 55% |
Solve 7c + 2c = -8c + 3z - 9 for c in terms of z.
| 3z + 1\(\frac{3}{5}\) | |
| \(\frac{1}{15}\)z - \(\frac{3}{5}\) | |
| -7z + 4 | |
| 13z - 2 |
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 + 2z = -8c + 3z - 9
7c = -8c + 3z - 9 - 2z
7c + 8c = 3z - 9 - 2z
15c = z - 9
c = \( \frac{z - 9}{15} \)
c = \( \frac{z}{15} \) + \( \frac{-9}{15} \)
c = \(\frac{1}{15}\)z - \(\frac{3}{5}\)
If side a = 8, side b = 1, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{41} \) | |
| \( \sqrt{17} \) | |
| \( \sqrt{65} \) | |
| \( \sqrt{53} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 82 + 12
c2 = 64 + 1
c2 = 65
c = \( \sqrt{65} \)
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
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triangle |
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trapezoid |
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quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
If AD = 14 and BD = 4, AB = ?
| 8 | |
| 3 | |
| 10 | |
| 13 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDWhich of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
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a parallelogram is a quadrilateral |
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opposite sides and adjacent angles are equal |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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).