The points D, E, F and G all lie on the same line segment, in that order, such that the ratio of DE: EF: FG is equal to 1 : 5:5. If DG 11, And DE.

The ratio of DE: EF: FG of 1: 5 : 5 means that if there are 1+5+5 =11 parts, 1 part is DE, 5 parts is EF, and 5 parts is FG.
The length DG = DE + EF + EF+ FG is 11; therefore, the length of DE (which is 1 part ) is
[tex]DE=\frac{1}{11}[/tex]which is our answer!