Respuesta :
Answer: Choice B) 4 cm and 7 cm
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Explanation:
For any parallelogram, the opposite sides are the same length. Think of a rectangle, though we could have angles that aren't 90 degrees.
(5n-6) and (3n-2) are the lengths of the opposite sides. Set them equal to one another and solve for n.
5n-6 = 3n-2
5n-3n = -2+6
2n = 4
n = 4/2
n = 2
We can use this to find the length of the opposite sides
5n-6 = 5*2-6 = 10-6 = 4
3n-2 = 3*2-2 = 6-2 = 4
We get 4 each time which helps confirm we have the correct value for n.
The opposite sides are 4 cm each. The other side is
2n+3 = 2*2+3 = 4+3 = 7
Looking at adjacent sides (sides that are next door neighbors), we see 4 cm and 7 cm.
We could easily say "7 cm and 4 cm" as order doesn't matter. Though this isn't listed so we'll go with "4 cm and 7 cm" instead.