Answer:
Step-by-step explanation:
Since line m is parallel to line n, therefore:
(consecutive interior angles are supplementary)
Solve for x
Add like terms
Add 7 to both sides
Divide both sides by 11
9514 1404 393
Answer:
[211.43,216.57]
Step-by-step explanation:
1.2% of 214 is ...
0.012 × 214 = 2.568 ≈ 2.57 . . . . rounded to hundredths
Then the minimum possible value is ...
214 -2.57 = 211.43
and the maximum possible value is ...
214 +2.57 = 216.57
The range is 211.43 to 216.57.
Answer:
11
Step-by-step explanation:
First, order the numbers in the given set from least to greatest:
8 , 9 , 9 , 10 , 12 , 14 , 15 , 15
The median is the number found in the middle of the given set. If the amount of numbers in the set are even (as in this case), then you will find the mean of the two middle numbers.
In this case, the middle numbers are 10 & 12:
Find the mean. The mean is found by adding all the numbers together and dividing by the amount of numbers there is:
(10 + 12)/2 = (22)/2 = 11
11 is your median.
~
Answer:
54
Step-by-step explanation:
3x -(7-x) = 29 remove the parens
3x - 7 + x = 29 simplify
4x -7 = 29 add 7 to both sides of the equation
4x = 36 divide by
x = 9
then 6x = 6 * 9 = 54
Answer:
Number of cats is (5/9)(63) = 35, and number of dogs is (4/9)(63) = 28
Step-by-step explanation:
The given ratio is 5 to 4. Sum these up, obtaining 9. Then (5/9) of the whole represents the number of cats, and (4/9) of the whole represents the number of dogs.
Number of cats is (5/9)(63) = 35, and
number of dogs is (4/9)(63) = 28
As a check: 35 + 28 = 63.
