If de=fg, de=2, df=4x-6, and eg=2x, what is the length of dg?

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