anneliesediedrich96 anneliesediedrich96
  • 02-09-2020
  • Mathematics
contestada

Point O is on line segment NP. Given NP = 3x, NO = 2x, and OP = 8,
determine the numerical length of NO.

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 10-09-2020

Answer:

[tex]NO = 16\ units[/tex]

Step-by-step explanation:

Given

[tex]NP = 3x[/tex]

[tex]NO = 2x[/tex]

[tex]OP = 8[/tex]

Required

Determine NO

Since O is a segment on NP, we have that

[tex]NP = NO + OP[/tex]

Substitute values for these parameters

[tex]3x = 2x + 8[/tex]

Collect Like Terms

[tex]3x - 2x = 8[/tex]

[tex]x = 8[/tex]

Substitute 8 for x in [tex]NO = 2x[/tex]

[tex]NO = 2 * 8[/tex]

[tex]NO = 16\ units[/tex]

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