troutmanwill4146 troutmanwill4146
  • 22-03-2021
  • Mathematics
contestada

Circle D is below. ⌢

What is the arc measure of BC in degrees

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 27-03-2021

Answer:

[tex]BC = 84[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find BC

The sum of [tex]angles\ at\ a\ point[/tex] is 360.

So:

[tex]7n + 12 + 13n - 16 + 6n = 360[/tex]

Collect like terms

[tex]7n + 13n + 6n = 360 + 16 - 12[/tex]

[tex]26n = 364[/tex]

Solve for n

[tex]n = 364/26[/tex]

[tex]n = 14[/tex]

From the circle:

[tex]BC = 6n[/tex]

Substitute 14 for n

[tex]BC = 6*14[/tex]

[tex]BC = 84[/tex]

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