SOLUTION: 𝐸 is the midpoint of 𝐷F. 𝐷𝐸 = 4𝑥 + 3 and 𝐸𝐹 = 8𝑥 − 9. Find 𝐷𝐸, 𝐸𝐹, and 𝐷�

Question 1203782: 𝐸 is the midpoint of 𝐷F. 𝐷𝐸 = 4𝑥 + 3
and 𝐸𝐹 = 8𝑥 − 9. Find 𝐷𝐸, 𝐸𝐹, and 𝐷�
Found 2 solutions by mananth, MathLover1:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!

𝐸 is the midpoint of 𝐷F. 𝐷𝐸 = 4𝑥 + 3
and 𝐸𝐹 = 8𝑥 − 9. Find 𝐷𝐸, 𝐸𝐹, and 𝐷
Since e is the midpoint of DF DE = EF
Therefore 4x+3 = 8x-9
subtract 8x from both sides of equation
4x+3-8x = -9
substract 3 from both sides
4x -8x = -9-3
-4x = -12
x = -12/-4=3
DE = 4x+3
plug x
DE = 4*3+3
DE = 15
Therefore EF = 15

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

if is the midpoint of , then
if

then

so,

since, we have

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