SpareTire8083 SpareTire8083
  • 21-08-2017
  • Mathematics
contestada

Point m is the midpoint of ab¯¯¯¯¯ . am=3x+3, and ab=8x−6. what is the length of am¯¯¯¯¯¯ ?

Respuesta :

anju2710 anju2710
  • 28-08-2017
As given m is a midpoint of ab. So am is half of ab.

So we can write

[tex]am = \frac{ab}{2} [/tex]

As given am = 3x+3 , ab = 8x - 6.

So [tex]3x+3 = \frac{8x - 6}{2} [/tex]

[tex]3x+3 = \frac{2(4x - 3)}{2} [/tex]

[tex]3x+3 = 4x - 3[/tex]

[tex]3+3 = 4x - 3x [/tex]

[tex]6 = x[/tex]

So x = 6.

So length of am = 3x+3 = 3*6 + 3 = 21
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