animeani56789 animeani56789

21-09-2022
Mathematics

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Find the length of AC if PQ is a segment bisector.
Show work.

Find the length of AC if PQ is a segment bisector Show work class=

Respuesta :

jimrgrant1 jimrgrant1

21-09-2022

Answer:

AC = 135 units

Step-by-step explanation:

since PQ bisects AB , then

BC = AC , that is

12x - 21 = 9x + 18 ( subtract 9x from both sides )

3x - 21 = 18 ( add 21 to both sides )

3x = 39 ( divide both sides by 3 )

x = 13

Then

AC = 9x + 18 = 9(13) + 18 = 117 + 18 = 135

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