Answer:
DG = 20
Step-by-step explanation:
We are given a straight line DG with point E and F on it and we are to find the length of DG.
We have [tex] D E = 2 x + 7 [/tex], [tex] E F = 8 [/tex], [tex] F G = 2 [/tex] and [tex] D G = x + 20 [/tex].
So we can write it as:
[tex] DG = DE + EF + FG [/tex]
[tex]x+20 = 2x+17+8+2[/tex]
[tex]2x-x=20-17-8-2[/tex]
[tex]x=-7[/tex]
Substituting this value of [tex]x[/tex] to find DG:
DG = [tex]+x+20 = -7+20[/tex] = 13
