SOLUTION: DEFG is a square with diagonals GE and DF. If GE=10-2x and DF=2+2x find the value of x

Algebra.Com
Question 569370: DEFG is a square with diagonals GE and DF. If GE=10-2x and DF=2+2x find the value of x
Answer by IWork4Dessert(60)   (Show Source): You can put this solution on YOUR website!
Since you know that DEFG is a square, you also know that both its diagonals are going to be equal. All you have to do here is set up an equation and solve it.
10-2x=2+2x
Subtract 2 from both like terms.
8-2x=2x
Add 2x to the other side to get the variable alone.
8=4x
Divide both sides by 4.
x=2
Hope this helps(:

RELATED QUESTIONS

please help me with this i have tried all night but couldn't get it right. In a triangle (answered by Alan3354)
E is the midpoint of segment DF, DE= 2x + 4, and EF= 3x - 1. Find DE, EF and... (answered by Earlsdon)
Find the value of z. Then find GE and EH and state whether E is the midpoint of GH. (answered by Edwin McCravy)
the diagonals of a square pqsr intersect at e. if pe=2x+6 and rq=6x-10, find the value of (answered by solver91311)
Provided GT is a median. Find TE if FT = 36 then, Provided GT is a median. Find TE (answered by ikleyn)
Three points D(-5,6), E(2,-1), and F(x,0) are given. Find the value of X if... (answered by mananth,ikleyn,greenestamps)
can you help me and thankn you in advanced I just can't ge t it find x-andy- intercept... (answered by stanbon)
A simple random sample from a normal distribution is taken in order to obtain a 95%... (answered by ewatrrr)
The diagonals of a square are 2x + 13 and 3x. Find the measure of the... (answered by jim_thompson5910)