For a quadrilateral to be a parallelogram, opposite sides must be congruent.
In this case, AB = CD, so we have 40x = 8x + 32. Solving this equation gives us x = 1.
Similarly, BC = AD, so 4 + 3y = 9y - 20. Solving this equation gives us y = 4.
Therefore, the values of x and y that make Erik sure his quadrilateral is a parallelogram are x = 1 and y = 4.
So the correct answer is:
x equals 1 and y equals 4.
Erik draws quadrilateral ABCDABCD . If side AB=40xAB=40x , side BC=4+3yBC=4+3y , side CD=8x+32CD=8x+32 , and side AD=9y−20AD=9y−20 , for what values of x and y can Erik be sure that his quadrilateral is a parallelogram?(1 point) Responses x=20x=20 and y=8y=8 x equals 20 and y equals 8 x=1x=1 and y=4y=4 x equals 1 and y equals 4 x=40x=40 and y=16y=16 x equals 40 and y equals 16 x=4x=4 and y=1
1 answer