| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.36 |
| Score | 0% | 67% |
Solve for c:
-6c - 3 > -4 + 6c
| c > \(\frac{4}{9}\) | |
| c > \(\frac{3}{4}\) | |
| c > \(\frac{7}{8}\) | |
| c > \(\frac{1}{12}\) |
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 > sign and the answer on the other.
-6c - 3 > -4 + 6c
-6c > -4 + 6c + 3
-6c - 6c > -4 + 3
-12c > -1
c > \( \frac{-1}{-12} \)
c > \(\frac{1}{12}\)
A right angle measures:
90° |
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360° |
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45° |
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180° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
acute, obtuse |
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vertical, supplementary |
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supplementary, vertical |
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obtuse, acute |
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 = 4, b = 8, c = 6, and d = 5, what is the perimeter of this quadrilateral?
| 15 | |
| 20 | |
| 23 | |
| 17 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 4 + 8 + 6 + 5
p = 23
Find the value of b:
-7b + y = 2
-3b + y = -6
| -1\(\frac{1}{2}\) | |
| -\(\frac{13}{14}\) | |
| \(\frac{30}{43}\) | |
| -2 |
You need to find the value of b so solve the first equation in terms of y:
-7b + y = 2
y = 2 + 7b
then substitute the result (2 - -7b) into the second equation:
-3b + 1(2 + 7b) = -6
-3b + (1 x 2) + (1 x 7b) = -6
-3b + 2 + 7b = -6
-3b + 7b = -6 - 2
4b = -8
b = \( \frac{-8}{4} \)
b = -2