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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