Respuesta :

GH = 6

given GK = 24 and is split into 4 equal parts as indicated by the equal tick marks.

Then GH = [tex]\frac{24}{4}[/tex] = 6


GH = HI = IJ = JK                  Given

GK = 24                                Given

GH +  HI  +  IJ  +  JK = GK    Segment addition property

GH + GH + GH + GH = 24    Substitution

        4GH = 24                     Simplify (added like terms)

           GH = 6                       Division property of equality

Answer: 6

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