9514 1404 393
Answer:
104
Step-by-step explanation:
The midpoint divides the segment into equal parts:
BD = CD
4x +12 = 2x +32
2x = 20 . . . . . . . . . subtract 2x+12
x = 10 . . . . . . . . divide by 2
The length of BC is the sum of the segment lengths:
BC = BD +CD
BC = (4x +12) +(2x +32) = 6x +44
For x=10, this is ...
BC = 6(10) +44 = 104
The length of BC is 104 units.
