Answer:
The value of x is 6
Step-by-step explanation:
The midpoint divides a segment into two, equal segments. DE is one of the two segments created by the midpoint, so its measurement is equal to half the measurement of segment DF. Divide (6x + 4) by 2 and set it to equal the given length of DE, 20. Use this equation to find the value of x.
[tex](6x+4)/2=20[/tex]
Dividing by 2 is the same as multiplying by 1/2, so distribute that 1/2.
[tex]3x+2=20[/tex]
Subtract by 2 on both sides.
[tex]3x=18[/tex]
Divide by 3.
[tex]x=6[/tex]
x = 6
