mkjohnson0314
Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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?

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 Parallelo class=

Sagot :

mhanifa

Answer:

  • x = 10, y = 15
  • RT = 210 m, US = 396 m

Step-by-step explanation:

Diagonals of parallelogram bisect each other;

  • UV = VS and
  • RV = VT

Substitute values:

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

  • US = 2(11*15+33) = 396 m

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

  • RT = 2(3*10 + 5*15) = 210 m
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.