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Geometry help! D:!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!?
Let A,B and C be points on a number line with respective coordinates a,b,c such as a<b<c. If b=6, AC=30, and BC=@AB, then what are the coordinates of a and c
sorry its supposed to say BC=2AB
Lol thank you! but b is a coordinate, 6 isnt a length
<---1---2---3---4---5---6---7------------->
B
Its where B is on the line
3 Answers
- hayharbrLv 78 years agoFavorite Answer
BC + AB would have to equal AC and since BC is twice AB, you know BC is 20 and AB is 10.
So 20 up from 6 is 26 (that's c), and 10 down from 6 is -4 (that's a).
- GridLv 78 years ago
AC = 30, point b is a point between points a and c.
If BC = 2AB, then BC = 20 and AB = 10, to give you 30, and still satisfy the equality.
However, b = 6 makes no sense at all because you said b is a coordinate, but you provided a length for b.
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Okay, thank you for your edit. I wasn't aware of the diagram.
In that case a is a coordinate to the left of b and c is a coordinate to the a right of b.
AC = 30
AB = 10
BC = 20
If b is 6, then a must be at -4 to make AB = 10.
If a is -4, then c must be at 26 to make AC = 30.
a => -4
c => 26