Five friends live on the same street. Their houses are at points $A,$ $B,$ $C,$ $D,$ and $E,$ with the distances shown. [asy] unitsize(1 cm); pair A, B, C, D, E; A = (0,0); B = (1,0); C = (2,0); D = (5,0); E = (7,0); draw(A--E); dot("$A$", A, S); dot("$B$",
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