| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
|
vertical, supplementary |
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supplementary, vertical |
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acute, obtuse |
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).
Solve for a:
3a - 6 = \( \frac{a}{-8} \)
| \(\frac{18}{37}\) | |
| \(\frac{6}{11}\) | |
| 1\(\frac{23}{25}\) | |
| 1\(\frac{1}{2}\) |
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.
3a - 6 = \( \frac{a}{-8} \)
-8 x (3a - 6) = a
(-8 x 3a) + (-8 x -6) = a
-24a + 48 = a
-24a + 48 - a = 0
-24a - a = -48
-25a = -48
a = \( \frac{-48}{-25} \)
a = 1\(\frac{23}{25}\)
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
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equal length |
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equal angle |
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right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
The dimensions of this cylinder are height (h) = 6 and radius (r) = 3. What is the surface area?
| 324π | |
| 54π | |
| 216π | |
| 4π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(32) + 2π(3 x 6)
sa = 2π(9) + 2π(18)
sa = (2 x 9)π + (2 x 18)π
sa = 18π + 36π
sa = 54π
If a = 3, b = 4, c = 5, and d = 6, what is the perimeter of this quadrilateral?
| 18 | |
| 11 | |
| 23 | |
| 10 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 3 + 4 + 5 + 6
p = 18