Line s is the perpendicular bisector of JK. If line s intersects JK at point L, which of the following statements must be true?
Check all that apply. A. Line s is perpendicular to JK B. JL = KL C. Line s is parallel to JK D. Point L is the midpoint of JK E. Line s intersects JK at a 180 angle
2 answers:
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Answer:
By contradiction it can be proved that:
Average of four real numbers will be greater than or equal to at least one of the four real numbers.
Step-by-step explanation:
Method of contradiction means we assume opposite to the facts to be proved and then we contradict our assumption.
As a result, we prove the fact.
Here, let the four number be:
The average will be Sum of all numbers divided by count of numbers.
Now, let us assume the opposite that the average is less than all the numbers.
i.e.
Now, let us add all of them:
Which can never be possible hence, our assumption is contradicted.
our assumption is wrong.
Therefore, by contradiction it is proved that:
Average of four real numbers will be greater than or equal to at least one of the four real numbers.
Answer:
a. Take a grid that shows represents the amount of money Frank has,
Say F,
( shown below ),
b. Since, Marissa has twice as much money as Frank,
So, the amount Marissa has = 2F
If M represents the amount Marissa has,
M = 2F
c. Now, Christina has $20 more than Marissa,
Add 20 to the grid M
d. The below diagram provides enough information to determine the value of the variable m
e. The amount Christina has = M + 20 = 2F + 20
According to the question,
2F + 20 = 100
2F = 80
F = 40
Hence, the amount frank has = $ 40,
Amount Marissa has = 2(40) = $ 80,
