| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
If angle a = 48° and angle b = 33° what is the length of angle d?
| 129° | |
| 132° | |
| 150° | |
| 134° |
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° - 33° = 99°
So, d° = 33° + 99° = 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°
If a = 9 and x = 5, what is the value of -4a(a - x)?
| 54 | |
| 480 | |
| 36 | |
| -144 |
To solve this equation, 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.)
-4a(a - x)
-4(9)(9 - 5)
-4(9)(4)
(-36)(4)
-144
The dimensions of this cube are height (h) = 4, length (l) = 2, and width (w) = 4. What is the volume?
| 32 | |
| 45 | |
| 60 | |
| 270 |
The volume of a cube is height x length x width:
v = h x l x w
v = 4 x 2 x 4
v = 32
A(n) __________ is two expressions separated by an equal sign.
problem |
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formula |
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expression |
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equation |
An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
If BD = 14 and AD = 24, AB = ?
| 5 | |
| 1 | |
| 10 | |
| 13 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD