Answer:
92
Step-by-step explanation:
CD = DT . . . . . point D is the midpoint of CT
7x -10 = 5x +6 . . . . . substitute given expressions
2x = 16 . . . . . . . . . . . add 10 -5x
x = 8 . . . . . . . . . . . . .divide by 2
Now, we can substitute this value into either expression for the length of a segment:
DT = 5x +6 = 5·8 +6 = 46
CT = 2·DT = 2·46
CT = 92
