SOLUTION: in parallelogram SONG, SO= 2X+4, ON= 3X-6, and NG 4X-16. Explain why SONG is a rhombus

Algebra ->  Parallelograms -> SOLUTION: in parallelogram SONG, SO= 2X+4, ON= 3X-6, and NG 4X-16. Explain why SONG is a rhombus      Log On


   

Question 421284: in parallelogram SONG, SO= 2X+4, ON= 3X-6, and NG 4X-16. Explain why SONG is a rhombus
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

rhombus is a quadrilateral whose four sides all have the same length
given:
SO=+2X%2B4,
ON=+3X-6, and
NG+4X-16
find x that makes SO=ON=NG
SO=ON
2X%2B4=3X-6
4%2B6=3X-2x
10=x

SO=+2%2A10%2B4=24,
ON=+3%2A10-6=24, and
NG+4%2A10-16=24