Answer:
Step-by-step explanation:
1. Supplementary
2. complementary
3. neither
4. These two are vertically opposite so neither.
5. Supplementary
6. They add to 90 so they are complementary
7. They add to 180 so they are supplementary.
8. These 2 are equal and vertically opposite. They are neither for this exercise.
9. Complementary: they add to 90.
93 is 60 percent from the original price.
The discount reduces the original price by 40 percent.
Answer:
n < - 3 or n > - 2
Step-by-step explanation:
Inequalities of the type | x | > a , have solutions of the form
x < - a or x > a
Then
2n + 5 < - 1 or 2n + 5 > 1
Solve both inequalities
2n + 5 < - 1 ( subtract 5 from both sides )
2n < - 6 ( divide both sides by 2 )
n < - 3
OR
2n + 5 > 1 ( subtract 5 from both sides )
2n > - 4 ( divide both sides by 2 )
n > - 2
Solution is n < - 3 or n > - 2
Answer:
10.36
Step-by-step explanation:
So your solution would be:








Just try to remember PEMDAS.
Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.
This is the order we follow when going about expressions with many operations.
Let's start with the parenthesis part. Notice that there is an exponent beside the parenthesis enclosing the fraction. Here we use the quotient to a power rule. We distribute the exponent to the numerator and the denominator.



Now that we got the parenthesis and exponent out of the way, let's move on to the next. Multiplication/Division. Whichever comes first, you do it first.
We have a fraction so we do that first. Then we do the multiplication after.


Next we do the addition/subtraction. Again, whichever comes first.


-- Subtract 9 from each side of the equation.
-- Divide each side by 4 .
-- The value of 'n' is right there, and you did it all on your own !