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Answer:
b = 10, c = 9
Step-by-step explanation:
For the triangles to be congruent by the HL postulate, then
UW = DF ( hypotenuse are congruent ), that is
12b - 34 = 5b + 36 ( subtract 5b from both sides )
7b 0 34 = 36 ( add 34 to both sides )
7b = 70 ( divide both sides by 7 )
b = 10
and
UV = EF ( legs are congruent )
4c - 9 = 3c ( subtract 3c from both sides )
c - 9 = 0 ( add 9 to both sides )
c = 9
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