Is It Possible For AB = 10, BC = 2x + 5 And AC = 5x, Given That Point B Is The Midpoint? Why Or Why Not?

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Anonymous answered
Looks like we are looking at a line AC where B is the midpoint.
Assuming such is the case, we know that the length of AB = 10, so AC=20 and BC = 10
Assuming, BC=2x+5 is true, we get 2x+5=10, so 2x=5, so x = 2.5
But that means AC=5x=5*2.5=12.5
But this is False since AC =20.
Hence BC=2x+5 is wrong or not possible.

thanked the writer.
kevin garnett
kevin garnett commented
Thanks for the attempt, but I left out one crucial part, I edited it so take a look at the end of it, it says, x is supposed to equal 5. But I don't know how your supposed to answer it if its true or not.
 
 
Geometry, is a little confusing!
 
:/ This is comment from brittani_h, converted for him (or her)
Anonymous
Anonymous commented
Since we already found out x = 2.5 for B to be the midpoint, the answer still is False for X=5. Since length of BC = 2x+5 = 15 and AB = 10, B cannot be the midpoint of this line, since a midpoint divides the line into 2 equal halves.

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