SOLUTION: Analyze the diagram below and complete the instructions that follow. 2004-05-01-06-00_files/i0200005.jpg ABCD is an isosceles trapezoid with diagonals that intersect at point

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Question 1117067: Analyze the diagram below and complete the instructions that follow.
2004-05-01-06-00_files/i0200005.jpg
ABCD is an isosceles trapezoid with diagonals that intersect at point P. If 2004-05-01-06-00_files/i0200000.jpg || 2004-05-01-06-00_files/i0200001.jpg, AC = 7y – 30, BD = 4y + 60, and CD = 5y + 14, solve for y.
A.
22
B.
30
C.
46
D.
57


Please select the best answer from the choices provided

A
B
C
D

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

given:
is an trapezoid with diagonals that intersect at point .
If


and

solve for
recall: an trapezoid when both angles coming from a parallel side are equal, the sides that aren't parallel are equal in length, and the diagonals of an isosceles trapezoid are congruent
in your case, the diagonals are and , so you have

....solve for




answer:
B.

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