| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
A right angle measures:
180° |
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360° |
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90° |
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45° |
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.
Which of the following statements about parallel lines with a transversal is not correct?
all acute angles equal each other |
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angles in the same position on different parallel lines are called corresponding angles |
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same-side interior angles are complementary and equal each other |
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all of the angles formed by a transversal are called interior angles |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).
A coordinate grid is composed of which of the following?
origin |
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y-axis |
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x-axis |
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all of these |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
If a = c = 9, b = d = 7, what is the area of this rectangle?
| 63 | |
| 9 | |
| 54 | |
| 12 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 9 x 7
a = 63
Find the value of b:
-6b + y = 9
9b - 5y = 9
| -2\(\frac{1}{8}\) | |
| 1 | |
| -\(\frac{26}{49}\) | |
| -2\(\frac{4}{7}\) |
You need to find the value of b so solve the first equation in terms of y:
-6b + y = 9
y = 9 + 6b
then substitute the result (9 - -6b) into the second equation:
9b - 5(9 + 6b) = 9
9b + (-5 x 9) + (-5 x 6b) = 9
9b - 45 - 30b = 9
9b - 30b = 9 + 45
-21b = 54
b = \( \frac{54}{-21} \)
b = -2\(\frac{4}{7}\)