If G is the centroid of the triangle, and CG=4x + 5 and CF=9x, find the value of x. Use an equation given what you know about centroid ratios and write your answer as a decimal.

If G is the centroid of the triangle and CG4x 5 and CF9x find the value of x Use an equation given what you know about centroid ratios and write your answer as class=

Respuesta :

[tex]\dfrac{\overline{CG}}{\overline{CF}}=\dfrac{2}{3}\\ \dfrac{4x+5}{9x}=\dfrac{2}{3}\\\\ 12x+15=18x\\ 6x=15\\ x=\dfrac{15}{6}=\dfrac{5}{2}[/tex]