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

Using the following image, if you EG = 59, what are x, EF, and FG.-example-1

1 Answer

4 votes

Answer:


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

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