SOLUTION: Circles M and K are congruent, arc QR is congruent to arc LN and arc OP is congruent to arc VW . Find x and y. circle M with chord QR, measuring 2 x minus y and

Algebra ->  Triangles -> SOLUTION: Circles M and K are congruent, arc QR is congruent to arc LN and arc OP is congruent to arc VW . Find x and y. circle M with chord QR, measuring 2 x minus y and      Log On


   



Question 1082818: Circles M and K are congruent, arc QR is congruent to arc LN and arc OP is congruent to
arc VW . Find x and y.
circle M with chord QR, measuring 2 x minus y and chord WV measuring y, circle K with chord LN measuring 1 and chord PO measuring 3x minus 3
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Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given:
Circles M and K are congruent,
arc QR is congruent to arc LN->QR=LN
arc OP is congruent to arc VW-> OP=VW
Find x and y.
if QR=2x-y and LN=1, than we have
2x-y=1....solve for y
y=2x-1............eq.1
if WV=y,and it is equal to OP=3x-3, we have
y=3x-3..........eq.2
since left sides are equal, equal right sides of eq.1 and eq.2
2x-1=3x-3......solve for x
3-1=3x-2x
x=2
now find y
y=2x-1............eq.1
y=2%2A2-1
y=3