What is CD? Point G is the centroid of triangle ABC. The length of
segment CG is 6 units greater than the length of segment
DG.
6 units
12 units
18 units
24 units

(C)18 units

Step-by-step explanation:

From Centroid Theorems, we know that the distance from the centroid to the vertex is twice as long as the distance from the centroid to the midpoint of the side opposite the vertex.

Therefore:

CG=2DG

Let the length of segment  DG =x

The length of  segment CG is 6 units greater, therefore: CG=x+6

Substituting into CG=2DG:

x+6=2x

2x-x=6

x=6 Units

Therefore:

CD=CG+GD

=6+6+6

=18 Units

The correct option is C.

the answer is y = 11.54

hope this : )