| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
If angle a = 42° and angle b = 32° what is the length of angle d?
| 131° | |
| 119° | |
| 138° | |
| 142° |
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° - 42° - 32° = 106°
So, d° = 32° + 106° = 138°
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° - 42° = 138°
If angle a = 38° and angle b = 64° what is the length of angle c?
| 103° | |
| 78° | |
| 70° | |
| 116° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 38° - 64° = 78°
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
addition |
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division |
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exponents |
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pairs |
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.)
Simplify (8a)(2ab) + (5a2)(8b).
| -24a2b | |
| 56a2b | |
| 130ab2 | |
| -24ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(8a)(2ab) + (5a2)(8b)
(8 x 2)(a x a x b) + (5 x 8)(a2 x b)
(16)(a1+1 x b) + (40)(a2b)
16a2b + 40a2b
56a2b
Which of the following is not required to define the slope-intercept equation for a line?
slope |
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x-intercept |
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y-intercept |
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\({\Delta y \over \Delta x}\) |
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.