Respuesta :

mhanifa

Answer:

  • 5 units

Step-by-step explanation:

M is the midpoint, therefore PM = MQ and:

  • PQ = PM + MQ = PM + PM = 2PM

Substitute values and solve for x:

  • 30 = 2(3x)
  • x = 30/6
  • x = 5

See m is the midpoint .

  • PM=QM

PM=3x=QM

Now

[tex]\\ \rm\longmapsto PM+QM=PQ[/tex]

[tex]\\ \rm\longmapsto 3x+3x=30[/tex]

[tex]\\ \rm\longmapsto 6x=30[/tex]

[tex]\\ \rm\longmapsto x=\dfrac{30}{6}[/tex]

[tex]\\ \rm\longmapsto x=5[/tex]

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