Question

Using the following image, if you EG = 59, what are x, EF, and FG.

Answer 1

`x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units`

Explanation:

Given:
`EG =59 \,\,units`

To find:
`x,EF,FG`

Solution:

From the image,
`EG=EF+FG`

Put
`EF=8x-14\,,\,FG=4x+1\,,\,EG=59`

`8x-14+4x+1=59\\12x-13=59\\12x=59+13\\\\12x=72\\x=(72)/(12)=6`

`EF=8x-14=8(6)-14=48-14=34\\FG=4x+1=4(6)+1=24+1=25`

Therefore,

`x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units`