Question

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

Answer 1

ANSWER

The value of x is


`9`


Step-by-step 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,


`(2x + 2)/(2x + 12) = (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.