Question

Geometry - Will give 5 stars + Thanks!

Answer 1

Answer:

x = 3 and y = 4

Step-by-step explanation:

We know:

The diagonals in a parallelogram divide by halves.

Therefore KG = UG and DG = CG.

We have

KG = 5y - 8, UG = 3y, DG = 4x - 7, CG = x + 2

Substitute:

5y - 8 = 3y          add 8 to both sides

5y = 3y + 8      subtract 3y from both sides

2y = 8      divide both sides by 2

y = 4

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4x - 7 = x + 2           add 7 to both sides

4x = x + 9            subtract x from both sides

3x = 9     divide both sides by 3

x = 3