therealNae444 therealNae444
  • 18-09-2021
  • Mathematics
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If M is the midpoint of overline PQ , what is the value of M ?

If M is the midpoint of overline PQ what is the value of M class=

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sqdancefan
sqdancefan sqdancefan
  • 18-09-2021

9514 1404 393

Answer:

  M = 16

Step-by-step explanation:

M is the average of the end point values:

  M = (P +Q)/2

  M = (11 +21)/2 = 32/2

  M = 16

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If you find half the difference, and add it to the lower value, you find it is the same:

  M = P + 1/2(Q -P)

  M = 11 + 1/2(21 -11) = 11 + 1/2(10) = 11 +5

  M = 16

You can see this is the same if you simplify the literal equation.

  M = P +1/2Q - 1/2P = P(1 -1/2) +1/2Q

  M = 1/2P +1/2Q

  M = (P +Q)/2

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