Answer:
AC = 26
Explanation:
AD = DC . . . . . .these segments are marked congruent
8x-1 = 6x+9 . . . substitute the given expressions
2x = 10 . . . . . add 1-6x
x = 5
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AC = 2·AB = 2(3x-2) = 2(3·5-2) . . . . substitute into expression for AB
AC = 26