If PM = 2x - 5, PN = 6x, and MN = 5x + 4, what is the value of x?
1 answer:
Answer:
The required value of x = 3
Step-by-step explanation:
For better understanding of the solution, see the attached figure :
The given three points are collinear to each other and the point P lies somewhere between the end points of the line MN
So, to find the value of x we can use the relation : Sum of Mid segments PM and PN is equal to complete length of the line segment MN
⇒ PN + PM = MN
⇒ 6·x + 2·x - 5 = 5·x + 4
⇒ 8·x - 5·x = 4 + 5
⇒ 3·x = 9
⇒ x = 3
Hence, The required value of x = 3
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