We have been given an inequality 
. We are asked to choose the solutions of our inequality from given choices.
The solution of inequality are all values of x greater than 38.
Let us see our given choices one by one.
A. 
Since solution of inequality is greater than 38 and 25 is less than 38 , therefore, 25 is not a correct choice.
B. 
Since the solution of inequality is greater than 38 and 40 is greater than 38, therefore, 40 is the correct choice.
C. 
Since the solution of inequality is greater than 38 and 120 is greater than 38, therefore, 120 is the correct choice.
Hence and are solution for the given inequality.
Answer:
The value of 
= 
Step-by-step explanation:
Vertical Angle theorem: It is about the angles that are opposite to each other.
Also, vertical angle are congruent that means vertical angles are equal.
In the given figure; 
and 
are vertical angle
then, by vertical angle theorem, 
.
Supplementary angle: the sum of the angles whose measure on the straight line is 180 degree.
From the figure, , 
and 
forms a straight line.
then, by the definition of Supplementary angle;
Substituting the value of in above equation:
or
Simplify:
therefore, 
and 
,
the value of 
.
Answer:
14,300,000
Step-by-step explanation:
Starting off with 14 million, you haven't reached the 100 thousands or below yet where you should start. The next digit, 3, is in the 100 thousands place and the digit next to it is four. When you're rounding, if the digit is greater than five, then you round up. (example: if the number you're rounding is 67, seven is greater than five so you would round it to 70.) If the digit you are rounding is smaller than 5 then you would round down. (Example: if the number you're rounding is 34, then you would round down because four is smaller than five or higher.) Since in your problem, you have 345,678, (we've already discussed the 14 million part in the beginning) 4 is smaller than 5 or higher so it would round 14,345,678 to 14,300,678. However, since we've already rounded the part we meant to do, every digit after would turn to 0. The final result would be 14,300,000.
Answer:
yes
Step-by-step explanation:
yes
A. Mean = 491.125
b. Median = 403.5
c. Mode = there is no mode
