Question

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Find the length of ad

Answer 1

AD = 104

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