graceycondie12
graceycondie12 graceycondie12
  • 26-02-2019
  • Mathematics
contestada

JL=2x-6
KM=3/2x+1
find the length of the diagonal of rectangle JKLM

Respuesta :

calculista
calculista calculista
  • 07-03-2019

Answer:

The length of the diagonal is [tex]22\ units[/tex]

Step-by-step explanation:

we know that

The diagonals of a rectangle are congruent

so

JL=KM

substitute the values and solve for x

[tex]2x-6=(3/2)x+1\\ \\2x-6=1.5x+1\\ \\2x-1.5x=1+6\\ \\0.5x=7\\ \\ x=14\ units[/tex]

Find the length of the diagonal

[tex]JL=2x-6=2(14)-6=22\ units[/tex]

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