Question

In the diagram, GB = 2x + 3..

Answer 1

Answer:

it's 15 on edge

Step-by-step explanation:

basically, you want to solve for x and substitute it for 2x+3,

Solving for x is

5x=2+18

3x=18

x=6

now getting GB

2(6)+3

12+3

15

Hope that helps

Answer 2

Answer:

10 units

Step-by-step explanation:

It's important to know that the centroid is always two-thirds of the median. Which means

$AG=\frac{2}{3}FA\\ x+9=\frac{2}{3}(5x+x+9)\\ x+9=\frac{2}{3}(6x+9) \\x+9=4x+6\\9-6=4x-x\\3x=3\\x=1$

Which means $AG=x+9=1+9=10$.

But, the centroid has always the same distance from each vertex, which means

$AG=BG=10$

Therefore, BG is 10 units long.