Question

IF=2x+2, IZ=2x+12 solve for x

Answer 1

ANSWER

The value of x is

$9$


EXPLANATION

F is the point of intersection of the medians of the triangle,

The ratio is

$IF:IZ=2:3$


This implies that,

$(2x + 2): (2x + 12) = 2: 3$


We can write this as a fraction to get,

$\frac{2x + 2}{2x + 12} = \frac{2}{3}$


We cross multiply to get,

$3(2x + 2) = 2(2x + 12)$

Let us expand the brackets yo obtain,

$6x + 6 = 4x + 24$


We group like terms to get,

$6x - 4x = 24 - 6$


$2x = 18$


We divide both sides by 2 to get,

$x = 9$

The correct answer is B.