Question

M is the Midpoint of segment PQ. If PQ = 30 and PM = 3x, find the VALUE OF X
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Answer 1

See m is the midpoint .

• PM=QM

PM=3x=QM

Now

`\\ \rm\longmapsto PM+QM=PQ`

`\\ \rm\longmapsto 3x+3x=30`

`\\ \rm\longmapsto 6x=30`

`\\ \rm\longmapsto x=(30)/(6)`

`\\ \rm\longmapsto x=5`

Answer 2

• 5 units

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