| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.73 |
| Score | 0% | 55% |
On this circle, line segment AB is the:
circumference |
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chord |
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radius |
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diameter |
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).
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
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rhombus |
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trapezoid |
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quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Which of the following is not required to define the slope-intercept equation for a line?
x-intercept |
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slope |
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\({\Delta y \over \Delta x}\) |
|
y-intercept |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
Solve for c:
-3c + 7 > 1 + 3c
| c > -\(\frac{2}{3}\) | |
| c > 1 | |
| c > -\(\frac{7}{8}\) | |
| c > -\(\frac{2}{9}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
-3c + 7 > 1 + 3c
-3c > 1 + 3c - 7
-3c - 3c > 1 - 7
-6c > -6
c > \( \frac{-6}{-6} \)
c > 1
If angle a = 43° and angle b = 69° what is the length of angle d?
| 157° | |
| 137° | |
| 124° | |
| 130° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 43° - 69° = 68°
So, d° = 69° + 68° = 137°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 43° = 137°