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Find the value of x.

Find the value of x.-example-1

1 Answer

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Answer:

x = 4

Explanation:

On each median , the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint , that is

CF = 2FE

Now

CE = CF + FE = 2FE + FE = 3FE ( substitute values )

20x - 17 = 3(4x + 5) ← distribute parenthesis )

20x - 17 = 12x + 15 ( subtract 12x from both sides )

8x - 17 = 15 ( add 17 to both sides )

8x = 32 ( divide both sides by 8 )

x = 4

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