We have that x = 3, LM = 14 and LN = 2. options A, C and E
<h3>How to determine the value</h3>
We known that the three sides are on a straight line
LM + MN = LN
Let's substitute the values, we have
3x + 5 + 4x = 11x - 7
Collect like terms
3x + 4x - 11x = -7 -5
-4x = -12
x = -12/ -4
x = 3
LM = 3x + 5 = 3(3) + 5 = 14
LN = 11x - 7 = 11(3) -7 = 33 -7 = 26
Thus, we have that x = 3, LM = 14 and LN = 2. options A, C and E
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Answer:
x<8
Step-by-step explanation:
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Answer:
Opction b)
The maximum area that can be enclosed by the fencing
Step-by-step explanation:
I took the test
Answer:
The mean absolute deviation of the data set is 6
Step-by-step explanation:
To find the mean absolute deviation of the data, start by finding the mean of the data set.
- Find the sum of the data values, and divide the sum by the number of data values.
- Find the absolute value of the difference between each data value and the mean: |data value – mean|.
- Find the sum of the absolute values of the differences.
- Divide the sum of the absolute values of the differences by the number of data values
∵ The data are 68 , 59 , 65 , 77 , 56
- Find their sum
∴ The sum of the data = 68 + 59 + 65 + 77 + 56 = 325
∵ The number of data in the set is 5
- Find the mean by dividing the sum of the data by 5
∴ The mean = 325 ÷ 5 = 65
- Find the absolute difference between the each data and the mean
∵ I68 - 65I = 3
∵ I59 - 65I = 6
∵ I65 - 65I = 0
∵ I77 - 65I = 12
∵ I56 - 65I = 9
- Find the sum of the absolute differences
∵ The sum of the absolute differences = 3 + 6 + 0 + 12 + 9
∴ The sum of the absolute differences = 30
Divide the sum of the absolute differences by 5 to find the mean absolute deviation
∴ The mean absolute deviation = 30 ÷ 5 = 6
The mean absolute deviation of the data set is 6