182,594 views
11 votes
11 votes
C is the midpoint of AB. If AC = 2x + 18 and AB = 32, find x.

User Ryan White
by
2.7k points

1 Answer

25 votes
25 votes

Answer:

x = -1

Explanation:

What we know: AC+CB=AB (Because midpoints create two equal segments), and AC=CB

With this equation, we can substitute the AC and AB with what we were given.

2x+18+CB=32

Since AC=CB, we can put CB as 2x+18 as well.

So now our equation is:

2x+18+2x+18=32 or 2(2x+18)=32

Now, we just have to simplify!

4x+36=32

4x=-4

x = -1

Hope this helped!

User Pstenstrm
by
3.3k points
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