<PRE><B>Question 906100</B>
Assuming A, B and C are all on the same line with B between A and C, we can say



AB + BC = AC


4x+9 + 5x+2 = 56


9x + 11 = 56


9x = 56 - 11


9x = 45


x = 45/9


x = 5


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Extra Info: We can use x = 5 to find AB and BC


AB = 4x+9
AB = 4(5)+9
AB = 20+9
AB = 29


BC = 5x+2
BC = 5(5)+2
BC = 25+2
BC = 27


Notice how AB = 29 and BC = 27 add to AC = 56 (AB+BC = 29+27 = 56 = AC). That confirms our answer.</PRE>