SOLUTION: In rectangle ABCD, diagonals AC and BD intersect at E. If AE= 3x+y, BE= 4x-2y, and CE= 20, find x and y.
Please help thank you!
Algebra.Com
Question 1008264: In rectangle ABCD, diagonals AC and BD intersect at E. If AE= 3x+y, BE= 4x-2y, and CE= 20, find x and y.
Please help thank you!
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
In rectangle , diagonals and intersect at .
If , , and ,
find and :
since you have a rectangle, diagonals and are same length
then and
so, we have
....eq.1
....eq.2
----------------------...both sides of eq.1 multiply by
....eq.1
....eq.2
----------------------........add both eq.1 and eq.2
now find
....eq.1
RELATED QUESTIONS
Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10,... (answered by Alex.33)
In rectangle ABCD, diagonals AC and BD intersect at Point E. If AC=36 and BD=2x+30, find... (answered by math-vortex)
Parallelogram ABCD; AC bisects with BD at E; AE= 3x + y, EC= 2x + y, find values of x and (answered by ikleyn,Alan3354)
In parallelogram ABCD, the diagonals and intersect at E. If BE = 4x 12 and DE = 2x +... (answered by drk)
The diagonals of quadrilateral ABCD intersect at point E, AE=5x-10, EC=2x=5,and BE=y/3.... (answered by ewatrrr)
ABCD is a rhombus whose diagonals AC and BD intersect at M. If ∠DAB=110o, find... (answered by jsmallt9)
Trapezoid ABCD has parallel sides AB and CD, of
lengths 8 and 16, respectively.... (answered by ikleyn)
Diagonal of parallelograms ABCD intersect at O. If AO=2x+4, OB=6+3y, OC=15-y, and OD=x+4, (answered by ikleyn)
ABCD is a rectangle. what is the length of the diagonals if
AC= 3y/5 and BD=... (answered by ewatrrr)