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

Algebra ->  Parallelograms -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!

given:
ABCD is an isosceles trapezoid with diagonals that intersect at point P.
If
AC+=+7y+-+30
BD+=+4y+%2B+60
and
CD+=+5y+%2B+14
solve for y
recall: an isosceles 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 AC and BD, so you have
AC+=BD
7y+-+30=4y+%2B+60 ....solve for y
7y+-4y+=30%2B+60
3y+=90
y+=90%2F3
y=30
answer:
B.30