Question

I’m very confused on this!!

Answer 1

Answer: x=5.5

Explanation:

All three medians of a triangle intersect at one point, which is called the centroid or center of gravity of the triangle, and are divided by this point into two parts in the ratio 2:1

Hence,

`\displaystyle\\(6x+12)/(x+17)=(2)/(1) \\`

Multiply both part of the equation by (x+17):

`6x+12=2(x+17)\\6x+12=2(x)+2(17)\\6x+12=2x+34\\6x+12-2x=2x+34-2x\\4x+12=34\\4x+12-12=34-12\\4x=22\\`

Divide both parts of the equation by 4:

`x=5.5`