| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.36 |
| Score | 0% | 67% |
If angle a = 58° and angle b = 58° what is the length of angle c?
| 58° | |
| 64° | |
| 123° | |
| 93° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 58° - 58° = 64°
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
pairs |
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division |
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addition |
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exponents |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
If the base of this triangle is 8 and the height is 5, what is the area?
| 27\(\frac{1}{2}\) | |
| 20 | |
| 25 | |
| 75 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 8 x 5 = \( \frac{40}{2} \) = 20
The endpoints of this line segment are at (-2, 5) and (2, -5). What is the slope-intercept equation for this line?
| y = -\(\frac{1}{2}\)x + 3 | |
| y = -2\(\frac{1}{2}\)x + 0 | |
| y = -2x - 4 | |
| y = 3x + 0 |
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 0. 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, 5) and (2, -5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (5.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)Plugging these values into the slope-intercept equation:
y = -2\(\frac{1}{2}\)x + 0
On this circle, line segment AB is the:
chord |
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radius |
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diameter |
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circumference |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).