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

Mathematics

1 answer:

alexira [117]2 years ago

3 0

Answer:

x = 7

Step-by-step 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?? :))

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