Answer:
AD = 104
Step-by-step explanation:
Since is the perpendicular bisector of AD, then
DB = AB, that is
9x - 2 = 7x + 10 ( subtract 7x from both sides )
2x - 2 = 10 ( add 2 to both sides )
2x = 12 ( divide both sides by 2 )
x = 6
Thus
AD = 7x + 10 + 9x - 2 = 16x + 8 ← substitute x = 6
AD = 16(6) + 8 = 96 + 8 = 104
