lexy1338
lexy1338 lexy1338
  • 25-08-2019
  • Mathematics
contestada

Help me please this is due tomorrow!!! (15 points!!)
Solve for x

Help me please this is due tomorrow 15 points Solve for x class=

Respuesta :

jimrgrant1 jimrgrant1
  • 25-08-2019

Answer:

see explanation

Step-by-step explanation:

∠AOB + ∠BOC = ∠AOC ← substitute values

2x + 8 + 3x + 14 = 7x - 2, that is

5x + 22 = 7x - 2 ( subtract 7x from both sides )

- 2x + 22 = - 2 ( subtract 22 from both sides )

- 2x = - 24 ( divide both sides by - 2 )

x = 12

Thus

∠AOC = 7x - 2 = (7 × 12) - 2 = 84 - 2 = 82°

∠AOB = 2x + 8 = (2 × 12) + 8 = 24 + 8 = 32°

∠BOC = 3x + 14 = (3 × 12) + 14 = 36 + 14 = 50°

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