| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
A right angle measures:
90° |
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45° |
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180° |
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360° |
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.
Find the value of c:
7c + x = -4
-9c + x = -4
| 5\(\frac{2}{3}\) | |
| -\(\frac{2}{3}\) | |
| -\(\frac{27}{46}\) |
You need to find the value of c so solve the first equation in terms of x:
7c + x = -4
x = -4 - 7c
then substitute the result (-4 - 7c) into the second equation:
-9c + 1(-4 - 7c) = -4
-9c + (1 x -4) + (1 x -7c) = -4
-9c - 4 - 7c = -4
-9c - 7c = -4 + 4
-16c = 0
c = \( \frac{0}{-16} \)
c =
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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obtuse, acute |
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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).
Simplify (y - 4)(y - 5)
| y2 + y - 20 | |
| y2 + 9y + 20 | |
| y2 - y - 20 | |
| y2 - 9y + 20 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 4)(y - 5)
(y x y) + (y x -5) + (-4 x y) + (-4 x -5)
y2 - 5y - 4y + 20
y2 - 9y + 20
Which of the following statements about a triangle is not true?
area = ½bh |
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perimeter = sum of side lengths |
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exterior angle = sum of two adjacent interior angles |
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sum of interior angles = 180° |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.