Answer:
The correct answer is option B.
m<3 = m<6
Step-by-step explanation:
From the figure we an see that, a and b are parallel lines and line t is the traversal on the lines.
<u>To find the correct option</u>
From the given figure we get
Corresponding angles are,
<1 & <5, <2&<6, <2&<7 and <4 &<8
Alternate interior angles are,
<3 & <6 and <4 &<5
Alternate interior angles are equal.
m<3 = m<6
Therefore the correct answer is optionB
For this case we have the following expression:
5x3 + 40y6
Common factor 5:
5 (x3 + 8y6)
Factoring the expression within the parenthesis we have:
5 ((x + 2y2) (x2 - 2xy2 + 4y4))
Answer:
The factored expression is given by:
5 ((x + 2y2) (x2 - 2xy2 + 4y4))
positive = greater than 0.
Therefore we have the inequality:
|add 7 to both sides

That's a 33% increase.
I calculated this using the formula:

Where n = the new value (16 in your question), o = the old value (12 in your question) and the result is outputted as a percent increase. You can check that this is correct by finding 33% of 12, adding the result to 12, and checking that the result equals your "new" number.
Note that 33% is only an approximation as your question requires a number rounded to the nearest whole.
Answer:
11
Step-by-step explanation:
Given that in a sample of n=6, five individuals all have scores of X=10 and the sixth person has a score of x=16
i.e. the data entries are
10,10,10,10,10,16
Sum = 66
No of items n = 6
Average = sum/no of entries
=
Average is 11.
mean of this sample is 11