cat297053 cat297053
  • 23-09-2018
  • Mathematics
contestada

if d is the midpoint of ef,ed =3x+1,ef=4x+12 find ed

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jg71
jg71 jg71
  • 23-09-2018
since the line contains a midpoint, both sides of the line will be equal each other and exactly one half of the entire line

so basically ed = df
and ed + df = ef

first, we find the value of x
[tex]2(3x + 1) = 4x + 12[/tex]
[tex]6x + 2 = 4x + 12[/tex]
[tex]2x = 10[/tex]
[tex]x = 5[/tex]

plug x back into the equation for ef
[tex]4(5) + 12 = ef[/tex]
[tex]20 + 12 = ef[/tex]
[tex]32 = ef[/tex]






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