Question

Point F is the midpoint of segment DE. DF = 2x+6 and DE = 2x+36. Find DE.

Answer 1

Answer: It already tells you what DE= 60

Explanation:

Since F is the midpoint of DE that means DF=FE

So create equation
`2x+6+2x+6=4x+12`

When DF and FE is added your answer should equal DE

So you write the equation
`4x+12=2x+36` to find x and once x is found substitute your answer for x

`4x+12(-12)=2x+36(-12)` subtract 12 on both sides 36-12= 24

`4x=2x+24` subtract 2x on both sides 4x-2x=2x

`2x=24` divide 2 into both sides 24/2=12 x=12

`4(12)+12=2(12)+36`

4x12=48+12=60 2x12=24+36=60