Question 1019819
in a parallelogram, opposite sides are parallel to each other and they are congruent.


since AB is opposite CD and AD is opposite BC, you get:


3x-5 = x+7 and you get y+3 = 2y-7


solve for x to get x = 6


solve for y to get y = 10


3x-5 becomes 18-5 = 13
x+7 becomes 6+7 = 13


y+3 becomes 10+3 = 13
2y-7 becomes 20-7 = 13


looks like all sides are congruent, therefore your parallelogram is a rhombus.