The plan for a city park shows that the park is a quadrilateral with straight paths along the diagonals. For what values of the variables is the park a parallelogram? In this case, what are the lengths of the paths?

Step-by-step explanation:

Diagonals of parallelogram bisect each other;

Substitute values:

11y + 33 = 14y - 12 ⇒ 14y - 11y = 33+12 ⇒ 3y = 45 ⇒ y = 15

3x + 5y = 6x + 3y ⇒ 6x - 3x = 5y - 3y ⇒ 3x = 2y ⇒ 3x = 30 ⇒ x = 10

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step-by-step explanation:

c. side angle side. u shares the same sides