In the parallelogram below, AB=2x+8 and CD=5x-1. What is the length of AB?
2 answers:
Answer:
AB = CD
BC = DA
Step-by-step explanation:
Since 3x+2 = 5x-2, solving for x yields 2. Since BC = 4x+1 = DA, BC and DA both equal 4(2)+1 = 9.
Answer:
AB = 14
Step-by-step explanation:
Lines AB and CD are opposite each other and as the shape is a parallelogram, they are of equal length:
AB = CD
2x + 8 = 5x - 1
Add 1 to both sides to isolate the 5x:
2x + 8 + 1 = 5x - 1 + 1
2x + 9 = 5x
Subtract 2x from both sides to isolate the 9:
2x + 9 - 2x = 5x - 2x
9 = 3x
Divide both sides by 3:
9 ÷ 3 = 3x ÷ 3
x = 3
As AB = 2x + 8, plug the known variable x in:
2x + 8
2(3) + 8
6 + 8
= 14
Hope this helps!
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