Question

figure abcd is a parallelogram. what are the lengths of line segments ab and bc? ab = 4; bc = 16 ab = 4; bc = 8 ab = 10; bc = 20 ab = 10; bc = 28 a 3y - 2 b 2x - 4 x + 12 d y + 6 c

Explanation:

Step1: Opposite sides of parallelogram are equal.

AB = CD, AD = BC

Step2: Solve for y using AB=CD.

3y - 2 = y + 6 → 2y = 8 → y=4

Step3: Calculate AB length.

AB = 3y - 2 = 3×4 - 2 = 10

Step4: Solve for x using AD=BC.

2x - 4 = x + 12 → x=16

Step5: Calculate BC length.

BC = x + 12 = 16 + 12 = 28

Answer:

E. AB = 10; BC = 28