Gis the centroid of triangle abc.
what is the value of x?
what is the length of the segment dg, ag, and ad?

Step-by-step explanation:

We presume your "centroid ratio theorem" tells you that AG = 2·DG, so ...

  (x+7) = 2(x -15)

  x + 7 = 2x - 30 . . . . eliminate parentheses

  37 = x  . . . . . . . . . . .add 30-x

Then AG = 37+7 = 44

and DG = 37-15 = 22.

Of course, AD = AG +GD = 44 +22 = 66

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answer: d.) the total number of protons and neutrons is 15

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