Question

HELP ON GEOMETRY!!! PHOTO ATTACHED

Answer 1

q = 3 units

Explanation:

`In\: \triangle GFH \: and\; \triangle GJI\\\angle GFH \cong \angle GJI..(each\: 90\degree)\\\angle FGH \cong\angle JGH..(common\: angles)\\\therefore \triangle GFH \sim \triangle GJI..(by \: AA\: postulate)\\\\\therefore (GF)/(GJ)=(HF)/(IJ)..(By\: c.s.s.t.)\\\\\therefore (4)/(8)= (q)/(6)\\\\\therefore (1)/(2)= (q)/(6)\\\\q =(6)/(2)\\q= 3 \: units`