Answer:
The value of x is [tex]15\ units[/tex]
Step-by-step explanation:
we know that
The centroid is the point where all 3 medians intersect. The centroid divides each median in a ratio of 2:1
so
In this problem
[tex]BD=\frac{2}{3}BF[/tex]
see the attached figure to better understand the problem
we have
[tex]BD=2x+30[/tex]
[tex]BF=6x[/tex]
substitute the values
[tex]2x+30=\frac{2}{3}(6x)[/tex]
[tex]2x+30=4x[/tex]
[tex]4x-2x=30[/tex]
[tex]2x=30[/tex]
[tex]x=15\ units[/tex]
