Answer:
x = 8
DE = 52
Step-by-step explanation:
MD = ME
4x-6 = 3x +2
solve for x;
4x-3x = 2+6
x = 8
Now solve for MD and ME by substituting the x = 8 to each equation
MD = 4(8) - 6 = 32 - 6 = 26
ME = 3(8) + 2 = 24 +2 = 26
Since M is the midpoint, its in the middle of DE, so the length of DE is obtained by adding the length of MD + ME;
DE = 26 + 26
DE = 52
