| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.79 |
| Score | 0% | 56% |
If a = c = 5, b = d = 2, and the blue angle = 51°, what is the area of this parallelogram?
| 3 | |
| 45 | |
| 10 | |
| 9 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 5 x 2
a = 10
The endpoints of this line segment are at (-2, -3) and (2, 1). What is the slope-intercept equation for this line?
| y = x - 1 | |
| y = -1\(\frac{1}{2}\)x + 3 | |
| y = -3x + 1 | |
| y = -x + 1 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -1. 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, -3) and (2, 1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)Plugging these values into the slope-intercept equation:
y = x - 1
Which of the following statements about parallel lines with a transversal is not correct?
all of the angles formed by a transversal are called interior angles |
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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 |
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°).
If angle a = 42° and angle b = 52° what is the length of angle c?
| 86° | |
| 124° | |
| 75° | |
| 106° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 42° - 52° = 86°
Simplify (9a)(2ab) + (4a2)(6b).
| -6ab2 | |
| 42a2b | |
| 110ab2 | |
| 110a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(9a)(2ab) + (4a2)(6b)
(9 x 2)(a x a x b) + (4 x 6)(a2 x b)
(18)(a1+1 x b) + (24)(a2b)
18a2b + 24a2b
42a2b