| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.75 |
| Score | 0% | 55% |
If a = c = 7, b = d = 8, what is the area of this rectangle?
| 36 | |
| 42 | |
| 54 | |
| 56 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 7 x 8
a = 56
Which of the following statements about parallel lines with a transversal is not correct?
angles in the same position on different parallel lines are called corresponding angles |
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all acute angles equal each other |
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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°).
Find the value of b:
-3b + x = -1
-8b + 7x = 9
| -\(\frac{8}{9}\) | |
| 1\(\frac{3}{13}\) | |
| 1\(\frac{32}{43}\) | |
| 3 |
You need to find the value of b so solve the first equation in terms of x:
-3b + x = -1
x = -1 + 3b
then substitute the result (-1 - -3b) into the second equation:
-8b + 7(-1 + 3b) = 9
-8b + (7 x -1) + (7 x 3b) = 9
-8b - 7 + 21b = 9
-8b + 21b = 9 + 7
13b = 16
b = \( \frac{16}{13} \)
b = 1\(\frac{3}{13}\)
Which of the following statements about math operations is incorrect?
all of these statements are correct |
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you can subtract monomials that have the same variable and the same exponent |
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you can add monomials that have the same variable and the same exponent |
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you can multiply monomials that have different variables and different exponents |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
The endpoints of this line segment are at (-2, -8) and (2, 4). What is the slope of this line?
| 1\(\frac{1}{2}\) | |
| 2 | |
| -2\(\frac{1}{2}\) | |
| 3 |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -8) and (2, 4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-8.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)