Question

20 points! I need help (asap!!)

Answer 1

Answer:

x = 5

OB = 36

BE = 54

Step-by-step explanation:

We know that the medians of the triangle divides in a ratio of 2:1. Therefore we have the equation:

$\dfrac{9x-9}{2x+8}=\dfrac{2}{1}$                cross multiply

$1(9x-9)=2(2x+8)$             use distributive property a(b + c) = ab + ac

$9x-9=(2)(2x)+(2)(8)$

$9x-9=4x+16$                 add 9 to both sides

$9x=4x+25$                subtract 4x from both sides

$5x=25$             divide both sides by 5

$\boxed{x=5}$

$OB=9x-9\to OB=9(5)-9=45-9=\boxed{36}$

$OE=OB:2\to OE=36:2=18\to BE=BO+OE\to BE=36+18=54$