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dexar [7]
2 years ago
5

AB = 3 + x

Mathematics
1 answer:
strojnjashka [21]2 years ago
4 0

Answer:

Option A) 4, 2

Step-by-step explanation:

We are given that quadrilateral ABCD is a  parallelogram with sides:

AB = 3 + x\\DC = 4x\\AD = y + 1\\BC = 2y

Since the opposite sides of a parallelogram are equal, we can write:

AB = DC\\AD=BC

Equating the sides we get,

\Rightarrow 3+x = 4x\\4x-x = 3\\3x = 3\\x = 1\\\Rightarrow y + 1 = 2y\\y = 1

Putting the values of x and y, we get:

AB = 3 + x =4\\DC = 4x =4\\AD = y + 1=2\\BC = 2y=2

Thus, the lengths of the opposite side pairs is 4,2.

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