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2 years ago

F is between E and G. EF=3X, EG= 11x-2, FG= 5x+16. Find the value of the variable

Mathematics

1 answer:

Salsk061 [2.6K]2 years ago

3 0

9514 1404 393

Answer:

x = 6

Step-by-step explanation:

The sum of segments is used:

EF +FG = EG

3x +(5x +16) = 11x -2 . . . . substitute given expressions

8x +18 = 11x . . . . . . . . add 2

18 = 3x . . . . . . . . subtract 8x

6 = x . . . . . . divide by 3

The value of the variable is 6.

<em>Check</em>

The segment lengths are ...

EF = 3x = 3·6 = 18

FG = 5x+16 = 5·6 +16 = 46

EG = 11x -2 = 11·6 -2 = 64 = 18+46 . . . answer is correct

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