RV=y+27 and TV=3y–17, find RV in parallelogram RSTU.
T
S
R
U
V
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Answer:
RV = 49 units
Step-by-step explanation:
in parallelogram RSTU , the diagonals bisect each other, then
TV = RV , that is
3y - 17 = y + 27 ( subtract y from both sides )
2y - 17 = 27 ( add 17 to both sides )
2y = 44 ( divide both sides by 2 )
y = 22
Then
RV = y + 27 = 22 + 27 = 49 units