| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.92 |
| Score | 0% | 58% |
If angle a = 52° and angle b = 61° what is the length of angle d?
| 148° | |
| 128° | |
| 139° | |
| 124° |
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° - 52° - 61° = 67°
So, d° = 61° + 67° = 128°
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° - 52° = 128°
Simplify (y + 2)(y - 6)
| y2 + 8y + 12 | |
| y2 - 4y - 12 | |
| y2 - 8y + 12 | |
| y2 + 4y - 12 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 2)(y - 6)
(y x y) + (y x -6) + (2 x y) + (2 x -6)
y2 - 6y + 2y - 12
y2 - 4y - 12
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
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rhombus |
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triangle |
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trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
The dimensions of this cube are height (h) = 1, length (l) = 7, and width (w) = 5. What is the volume?
| 108 | |
| 35 | |
| 252 | |
| 96 |
The volume of a cube is height x length x width:
v = h x l x w
v = 1 x 7 x 5
v = 35
Which of the following is not required to define the slope-intercept equation for a line?
slope |
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y-intercept |
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\({\Delta y \over \Delta x}\) |
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x-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.