shernande0554
shernande0554 shernande0554
  • 15-10-2020
  • Mathematics
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Point M is between points L and N on and Use the information to solve for x, and then find LN
Number 2

Point M is between points L and N on and Use the information to solve for x and then find LN Number 2 class=

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Jaswant003
Jaswant003 Jaswant003
  • 15-10-2020

Question :

Point M is between points L and N on line LN. LN = 6x, LM = 4x + 8 and MN =27. Use the information to solve for x, and then find LN.

Solution :

According to the question,

LM + MN = LN,

[tex](4x + 8 ) + 27 = 6x \\ = > 4x + 35 = 6x \\ = > 4x - 6x = - 35 \\ = > - 2x = - 35 \\ = > x = \frac{35}{2} \\ = > x = 17.5[/tex]

Therefore, the value of x is 17.5 units

LN = 6x

[tex]6x = 6 \times 17.5 \\ = 105[/tex]

LN = 105 units.

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