| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
Find the value of a:
9a + x = -4
7a - 7x = -6
| 5\(\frac{3}{4}\) | |
| -\(\frac{13}{87}\) | |
| -15 | |
| -\(\frac{17}{35}\) |
You need to find the value of a so solve the first equation in terms of x:
9a + x = -4
x = -4 - 9a
then substitute the result (-4 - 9a) into the second equation:
7a - 7(-4 - 9a) = -6
7a + (-7 x -4) + (-7 x -9a) = -6
7a + 28 + 63a = -6
7a + 63a = -6 - 28
70a = -34
a = \( \frac{-34}{70} \)
a = -\(\frac{17}{35}\)
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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supplementary, vertical |
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acute, obtuse |
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vertical, supplementary |
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 angle a = 38° and angle b = 50° what is the length of angle c?
| 83° | |
| 92° | |
| 91° | |
| 110° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 38° - 50° = 92°
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
2lw x 2wh + 2lh |
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h x l x w |
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h2 x l2 x w2 |
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lw x wh + lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
A quadrilateral is a shape with __________ sides.
4 |
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2 |
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5 |
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3 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.