Respuesta :

Answer:

x = 8

Step-by-step explanation:

Since C is the centroid, then

CP = [tex]\frac{1}{3}[/tex] JP , that is

2x + 4 = [tex]\frac{1}{3}[/tex] (8x - 4) ( multiply through by 4 to clear the fraction )

6x + 12 = 8x - 4 ( subtract 8x from both sides )

- 2x + 12 = - 4 ( subtract 12 from both sides )

- 2x = - 16 ( divide both sides by - 2 )

x = 8

JP=3x CP

8x-4= (2x+4)+(2x+4)+(2x+4)
8x-4= 6x+12
8x-6x=12+4
2x=16
x=16/2
x=8