Answer: dg=8
In this question, we are assuming 3 straight segments (de,ef, and fg) connecting d to g.
Given:
If de=fg, and de=2 so, therefore, fg is 2.
We are to find the length of one segment ef to get the length of dg.
If eg is 2x and fg is 2, then ef is 2x-2.
If df=4x-6 and de is 2, then ef=(4x-6)-2
2x-2=(4x-6)-2
2x=(4X-6)-2+2
2x=4x-6
6=4x-2x
6=2x
2x=6
X=6/2
X=3
If x=3, then ef=2x-2
ef=2(3)-2
ef=6-2
ef=4
dg=de+ef+fg
dg=2+4+2
dg=8