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There are no tick marks to indicate which angles are congruent between these two similar triangles. I will assume both triangles have the same orientation and that the corresponding parts are follow that orientation.
We use Property Of Similar Triangles to set up our proportion:
4/6 = 5/m
and 4 / 6 = n / 4.5
Solve for m in 4/6 = 5/m, m = 5*6/4 = 15/2 = 7.5
since n = 4.5 * (4/6) = 3
Answer Choice A.) n = 3 and m = 7.5
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