Complementary angles are two angles that add up to 90°
Supplementary angles are two angles that add up to 180°
Vertical angles are two angles that are opposite of each other and are also congruent
Before you start working on this problem, make sure you know
how to use a couple of the tools in your toolbox:
Tool #1: 37-1/2 percent means 0.375
Tool #2: In math problems, "of" almost always means "times".
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Your question says
"37-1/2 percent of blank is 36".
Translate it with your tools:
0.375 times blank = 36 .
Divide each side by 0.375: Blank = 36 / 0.375 .
Now grab your pencil or your calculator, and find the value of that
fraction (do the division). Blank is equal to the value of the fraction.
To check your answer (find out whether it's correct):
Do exactly what the question says.
Multiply (0.375) times (your answer). If you get 36,
then your answer is correct. If not, it's not.
First, plug in 5 for x:
| -5 * 5 + 12 | = |-25 + 12| = |-13|
Those two lines are absolute value, which measures the distance from the number to 0 on a number line. This distance is always positive.
The distance from -13 to 0 on a number line is 13. The answer is 13.
