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Find the value of x. Then find the length of FG and EG. EF=8 FG=2x-14 EG=x+6

Find the value of x. Then find the length of FG and EG. EF=8 FG=2x-14 EG=x+6
asked 148k views
4 votes
Find the value of x. Then find the length of FG and EG.
EF=8
FG=2x-14
EG=x+6

asked
User Hdorgeval
by
7.7k points

2 Answers

6 votes
X=2
Length of FG=10
Length of EG=8
answered
User Zealous
by
8.3k points
3 votes
EF = 8

F is the midpoint of EG

EF + FG = EG

8 + 2x - 14 = x + 6

2x - 6 = x + 6

2x (-x) - 6 (+6) = x(-x) + 6 (+6)
x = 12

FG = 2(12) - 14
FG = 24 - 14
FG = 10

EG = (12) + 6
EG = 18

EF = 8
FG = 10
EG = 18

hope this helps

answered
User Edwindj
by
8.4k points
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