Question

Given EGF~HGI what is the value of x

Answer 1

It is 14

Explanation:

For those who don't feel like reading :^)

Answer 2

`x = 14`

Explanation:

Since ∆EGF is similar to ∆HGI, therefore, the ratio of their corresponding side lengths are the same.

Thus, FG:GI = EG:GH

FG = x + 4

GI = 30

EG = 12

GH = 20

`(FG)/(GI) = (EG)/(GH)`

`(x + 4)/(30) = (12)/(20)`

Cross multiply

`(x + 4)(20) = (12)(30)`

`20x + 80 = 360`

Subtract 80 from both sides

`20x + 80 - 80 = 360 - 80`

`20x = 280`

Divide both sides by 20

`(20x)/(20) = (280)/(20)`

`x = 14`