For line l parallel to line m, the interior angles on the same side of the transversal should add upto 180° or in better words, they must be supplementary.
So, we can write that,
(2x + 6)° and 130° are supplementary.
⇛ 2x° + 6° + 130° = 180°
⇛ 2x° + 136° = 180°
⇛ 2x° = 44°
⇛ x° = 22°
The value of x for which line l is parallel to line m,
And we are done !!
#CarryOnLearning....
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Assuming you're working in base 10, then the antilog of 3.493 is equal to 10^3.493 = 3,111.71633710601
This rounds to 3111.7163 so the answer is choice D
The mean absolute deviation of the following set of data is 4.5
Step-by-step explanation:
We need to find the mean absolute deviation of the following set of data.
10,20,12,4,18,8,14,18
For finding mean absolute deviation, first we need to find the mean of the given data set.
The formula used to calculate mean is:
Sum of all data points: 10+20+12+4+18+8+14+18 = 104
Number of data points = 8
So, mean is:
Now, we will subtract 13 from the given data points:
10 - 13 = -3
20 - 13 = 7
12 - 13 = -1
4 - 13 = -9
18 -13 = 5
8 - 13 = -5
14 - 13 = 1
18 - 13 = 5
We will take absolute values i.e |-a|=a
So, now the numbers will be:
3,7,1,9,5,5,1,5
We will now find absolute mean deviation by finding mean of newly calculate values
Sum of all data points = 3+7+1+9+5+5+1+5
Number of data points = 8
So, the mean absolute deviation of the following set of data is 4.5
