Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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

To find: $x,EF,FG$

Solution:

From the image, $EG=EF+FG$

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

$8x-14+4x+1=59\\12x-13=59\\12x=59+13\\\\12x=72\\x=\frac{72}{12}=6$

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

Therefore,

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