SOLUTION: Determine the value of x in the parallelogram when
DG = 4x, EF = 5x - 6, DE = 3x + 2, GF = 2x + 8
x = [x}
Algebra.Com
Question 1205645: Determine the value of x in the parallelogram when
DG = 4x, EF = 5x - 6, DE = 3x + 2, GF = 2x + 8
x = [x}
Answer by math_tutor2020(3816) (Show Source): You can put this solution on YOUR website!
I'll assume the order of the points (either clockwise or counterclockwise) is D, E, F, G.
Perhaps your diagram looks something like this
If so, then DE is parallel and opposite FG.
With any parallelogram, the opposite sides are congruent.
DE = FG
3x+2 = 2x+8
3x-2x = 8-2
x = 6
Also, opposite parallel sides EF and DG are congruent.
EF = DG
5x-6 = 4x
5x-4x = 6
x = 6
When x = 6, we have the following side lengths
DE = 3x+2 = 3*6+2 = 20
FG = 2x+8 = 2*6+8 = 20
This confirms the 1st equation.
EF = 5x-6 = 5*6-6 = 24
DG = 4x = 4*6 = 24
This confirms the 2nd equation.
Summary:
x = 6
DE = 20
EF = 24
FG = 20
DG = 24
RELATED QUESTIONS
Find the values of the variables in DEFG
DG= 2x+2
EF= 3x-3
DE= 3x+1
GF=... (answered by ankor@dixie-net.com)
given that f(x)=3x+4/3 and g(x)=4x+5 determine the value of... (answered by rapture)
use coordinate geometry to prove that the midpoints of the sides of a kite determine a... (answered by ikdeep)
use coordinate geometry to prove that the midpoints of the sides of a kite determine a... (answered by ikdeep,venugopalramana)
Given trapezoid BCD with median line EF, find the value of x.
ab= 2x+2
ef= 17... (answered by ewatrrr)
In the figure, a ∥ b ∥ c and B is the midpoint of AC.
AB = 2x + 5, BC = x + 7, and... (answered by Solver92311)
In parallelogram ABCD, the diagonals and intersect at E. If BE = 4x 12 and DE = 2x +... (answered by drk)
how would you find the value of X in the equation DE=5x+3 EF=33 and E is the midpoint of... (answered by ewatrrr,josgarithmetic)
a ∥ b ∥ c and B is the midpoint of AC.
AB = 2x + 5, BC = x + 7, and DE = 3x + 6.
x... (answered by MathLover1)