| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
If angle a = 36° and angle b = 37° what is the length of angle d?
| 149° | |
| 144° | |
| 129° | |
| 121° |
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° - 36° - 37° = 107°
So, d° = 37° + 107° = 144°
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° - 36° = 144°
On this circle, a line segment connecting point A to point D is called:
diameter |
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circumference |
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radius |
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chord |
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).
If a = c = 2, b = d = 4, what is the area of this rectangle?
| 35 | |
| 9 | |
| 14 | |
| 8 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 2 x 4
a = 8
Simplify (y + 2)(y + 2)
| y2 - 4y + 4 | |
| y2 - 4 | |
| 79 | |
| y2 + 4y + 4 |
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 + 2)
(y x y) + (y x 2) + (2 x y) + (2 x 2)
y2 + 2y + 2y + 4
y2 + 4y + 4
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
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pairs |
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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.)