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To find the length of segment EF, we can set up a proportion between the two triangles:
AB / DE = BC / EF
Plugging in the values we know:
12 / 18 = 10 / EF
Cross multiplying:
12 * EF = 18 * 10
12EF = 180
EF = 180 / 12
EF = 15
Therefore, the unit length of segment EF is 15.