Question

Please help and show work ​

Answer 1

Answer:

see explanation

Step-by-step explanation:

(3)

The opposite sides of a parallelogram are congruent, so

6x = 3x + 15 ( subtract 3x from both sides )

3x = 15 ( divide both sides by 3 )

x = 5

and

2y - 10 = y + 5 ( subtract 5 from both sides )

y - 10 = 5 ( add 10 to both sides )

y = 15

Then x = 5 and y = 15

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(4)

The diagonals of a parallelogram bisect each other, thus

y = 4x - 6 → (1)

9x - 25 = 2y → (2)

Substitute y = 4x - 6 into (2)

9x - 25 = 2(4x - 6)

9x - 25 = 8x - 12 ( subtract 8x from both sides )

x - 25 = - 12 ( add 25 to both sides )

x = 13

Substitute x = 13 into (1)

y = 4(13) - 6 = 52 - 6 = 46

Then x = 13 and y = 46