Answer:
x = 4
Explanation:
On each median , the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint , that is
CF = 2FE
Now
CE = CF + FE = 2FE + FE = 3FE ( substitute values )
20x - 17 = 3(4x + 5) ← distribute parenthesis )
20x - 17 = 12x + 15 ( subtract 12x from both sides )
8x - 17 = 15 ( add 17 to both sides )
8x = 32 ( divide both sides by 8 )
x = 4