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Novosadov [1.4K]
3 years ago
15

AD=6y+40BC=9y+10AB= 0.5y+50

Mathematics
1 answer:
Bad White [126]3 years ago
8 0

Answer:

DC = 55

Step-by-step explanation:

Since this is a parallelogram, opposite sides are congruent.  WE need to find the value of y from AD = BC

AD = BC

6y+40 = 9y+10

Subtract 6y from each side

6y-6y+40 = 9y-6y+10

40 = 3y+10

Subtract 10 from each side

40-10 = 3y+10-10

30 = 3y

Divide each side by 3y

30/3 = 3y/3

10 =y

Since opposite sides are congruent

DC = AB

DC = .5y + 50

   = .5 (10) +50

    =5 + 50

   = 55

DC =55


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