| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.80 |
| Score | 0% | 56% |
If angle a = 56° and angle b = 47° what is the length of angle d?
| 126° | |
| 129° | |
| 124° | |
| 153° |
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° - 56° - 47° = 77°
So, d° = 47° + 77° = 124°
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° - 56° = 124°
On this circle, a line segment connecting point A to point D is called:
radius |
|
diameter |
|
chord |
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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).
The endpoints of this line segment are at (-2, 6) and (2, -4). What is the slope of this line?
| 1\(\frac{1}{2}\) | |
| -2\(\frac{1}{2}\) | |
| -1 | |
| -2 |
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, 6) and (2, -4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)What is 6a - 5a?
| a2 | |
| 1 | |
| 1a | |
| 11 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
6a - 5a = 1a
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
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trapezoid |
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rhombus |
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triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.