Answer:
x = 2 , AD = 27
Explanation:
The distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint , that is
AD = 2 GD , substitute values
9x = 2(5x - 1)
9x = 10x - 2 ( subtract 9x from both sides )
0 = x - 2 ( add 2 to both sides )
2 = x
Then
AD = AG + GD = 9x + 5x - 1 = 14x - 1 = 14(2) - 1 = 28 - 1 = 27