Phantom Phantom
  • 05-01-2024
  • Mathematics
High School

What values of b and c make ADEF AWVU?

U

46-9

v

D

5b+36

F

12b-

34

3c

E

w

b =

What values of b and c make ADEF AWVU U 46 9 v D 5b 36 F 12b 34 3c E w b

Answer :

jimrgrant1 jimrgrant1
  • 24-05-2025

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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