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D is the centroid of △ABC. What is the value of x when GD=x+4 and GC=4x+5?

D is the centroid of △ABC. What is the value of x when GD=x+4 and GC=4x+5?-example-1
User Ruchit
by
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1 Answer

4 votes

Answer:

x = 7

Explanation:

Because:

GD = x + 4

GC = 4x + 5

And D is the centroid of ABC

So GC = 3GD

<=> 4x + 5 = 3(x + 4)

<=> 4x + 5 = 3x + 12

<=> 4x - 3x = -5 + 12

<=> x = 7

Done!!

You ok?? :))

User Merab
by
8.0k points