alainanicole73 alainanicole73
  • 02-03-2021
  • Mathematics
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Line l is the perpendicular bisector of AB. What is the perimeter of ABC

Line l is the perpendicular bisector of AB What is the perimeter of ABC class=

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thebecks
thebecks thebecks
  • 02-03-2021

Answer:

Perimeter = 60

Step-by-step explanation:

because l bisects AB:

3y+1 = 5y-5

reduce:

2y = 6

y = 3

and:

2x+4 = 4x-12

reduce:

2x = 16

x = 8

AB = (3y+1) + (5y-5)

AB = 8y-4

substitute for y

AB = 8(3)-4

AB = 20

Perimeter = (2x+4) + (4x-12) + 20

reduce:

perimeter = 6x+12

substitute for x:

Perimeter =6(8)+12

reduce:

Perimeter = 60

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