| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
Solve for z:
4z + 9 = 5 - 7z
| -2 | |
| 1\(\frac{1}{6}\) | |
| \(\frac{4}{9}\) | |
| -\(\frac{4}{11}\) |
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.
4z + 9 = 5 - 7z
4z = 5 - 7z - 9
4z + 7z = 5 - 9
11z = -4
z = \( \frac{-4}{11} \)
z = -\(\frac{4}{11}\)
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
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acute, obtuse |
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vertical, supplementary |
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supplementary, vertical |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
If a = 9, b = 4, c = 7, and d = 2, what is the perimeter of this quadrilateral?
| 23 | |
| 18 | |
| 25 | |
| 22 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 9 + 4 + 7 + 2
p = 22
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
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the area of a parallelogram is base x height |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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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 = 5, c = 6, d = 9, and h = 3. What is the area?
| 25 | |
| 21 | |
| 18 | |
| 9 |
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(5 + 9)(3)
a = ½(14)(3)
a = ½(42) = \( \frac{42}{2} \)
a = 21