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 $4.45. i started by figuring out the cost of the plates and napkins. the easiest way to figure this cost out is through the tax. we know the way they found the tax is by multiplying the cost of non-food items by the tax rate (5% or 0.5). so, all we have to do to find the cost before tax is set up an equation and work this formula backwards. the equation is 0.19=0.05x where x is the cost of the plates and napkins. now all you do is divide both sides by 0.05 to come up with 3.8=x. now that we know the cost of the plates and napkins is $3.80, all we have to do is subtract this cost from the total cost of $8.25 giving us the cost of the watermelon which is $4.45.