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x + y + z = 0

x = a - b, y = b - c, z = c - a, therefore

a - b + b - c + c - a = ?

a - a + b - b + c - c = 0

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Q: If x equals a-b y equals b-c z equals c-a then the value of x plus y plus z x plus y plus z is?

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50

(a + b)(b + c)

a/b=c/d =>ad=bc =>a =bc/d b =ad/c c =ad/b d =bc/a so if a+b=c+d is true => (bc/d)+(ad/c)=(ad/b)+(bc/a) => (bc2+ad2)/dc=(da2+cb2)/ab => ab(bc2+ad2)=dc(da2+cb2) and since ad=bc, => ab(adc+add) =dc(ada+adc) => abadc+abadd =dcada + dcadc => abadc-dcadc =dcada-abadd => (ab-dc)adc =(dc-ab)add ad cancels out => (ab-dc)c =(dc-ab)d => -(dc-ab)c =(dc-ab)d => -c = d so there's your answer :)

There are some missing terms. First of all, I assume that A, B, and C are collinear and that B is between A and C.If this is true then AC-AB=BC by the whole is the sum of its parts theorem.24-20=4Otherwise, all that can be said about BC is that it's length is between AC-AB = 4 and AC+AB = 44 units.

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yes because ab plus bc is ac

Commutativity.

2

50

That depends on the value of CD and the perimeter of the quadrilateral out lined in the question

It would be a straight line of length bc

Do you mean F = abc + abc + ac + bc + abc' ? *x+x = x F = abc + ac + bc + abc' *Rearranging F = abc + abc' + ab + bc *Factoring out ab F = ab(c+c') + ab + bc *x+x' = 1 F = ab + ab + bc *x+x = x F = bc

x = 0.125 ( BC - 7 )

If point b is in between points a and c, then ab +bc= ac by the segment addition postulate...dont know if that was what you were looking for... but that is how i percieved that qustion.

You could conclude that B lies between A and C.

36

It could be a vector sum.

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