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Kamila [148]
2 years ago
9

3. If the measure of angle 4 is 6x + 20 and the meas-

Mathematics
1 answer:
Allushta [10]2 years ago
7 0

Answer:E

Step-by-step explanation:

If you add all the number together then you will get yourself to 120

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oksano4ka [1.4K]

Mark spent a total of 80 minutes or 1 hour and 20 minutes traveling to and from work.

45 minutes + 35 minutes = 80 minutes

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Prove the following using a proof by contradiction:The average of four real numbers is greater than or equal to at least one of
skelet666 [1.2K]

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:

p, q, r, s

The average will be Sum of all numbers divided by count of numbers.

\dfrac{p+ q+ r+ s}4

Now, let us assume the opposite that the average is less than all the numbers.

i.e.

\dfrac{p+ q+ r+ s}4

\dfrac{p+ q+ r+ s}4

Now, let us add all of them:

\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4  < p+q+r+s\\\Rightarrow \dfrac{4(p+q+r+s)}4

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.

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