| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.84 |
| Score | 0% | 77% |
If angle a = 48° and angle b = 55° what is the length of angle d?
| 147° | |
| 136° | |
| 135° | |
| 132° |
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° - 48° - 55° = 77°
So, d° = 55° + 77° = 132°
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° - 48° = 132°
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
pairs |
|
division |
|
exponents |
|
addition |
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.)
If a = 8, b = 6, c = 3, and d = 6, what is the perimeter of this quadrilateral?
| 28 | |
| 23 | |
| 21 | |
| 27 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 8 + 6 + 3 + 6
p = 23
If side a = 9, side b = 4, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{29} \) | |
| \( \sqrt{97} \) | |
| \( \sqrt{73} \) | |
| \( \sqrt{117} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 42
c2 = 81 + 16
c2 = 97
c = \( \sqrt{97} \)
What is 9a + 3a?
| 6 | |
| 12a | |
| 27a2 | |
| 6a2 |
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.
9a + 3a = 12a