toanvitmishra
toanvitmishra toanvitmishra
  • 26-05-2020
  • Mathematics
contestada

Given: circle k(O) m∠R = (12x+1)mFP = (11x+7) mPQ= 60Find: mFP

Given circle kO mR 12x1mFP 11x7 mPQ 60Find mFP class=

Respuesta :

walber000 walber000
  • 31-05-2020

Answer:

62°

Step-by-step explanation:

The angle R inscribes the arc FQ, so using the property of inscribed angles in a circle, we have that:

m∠R = mFQ / 2

The arc FQ is the sum of the arcs FP and PQ, so we have:

mFQ = mFP + mPQ = 11x + 7 + 60 = 11x + 67

Now, with the first equation, we have:

12x + 1 = (11x + 67) / 2

24x + 2 = 11x + 67

13x = 65

x = 5°

So we have that mFP = 11x + 7 = 55 + 7 = 62°

Answer Link
fyw2025
fyw2025 fyw2025
  • 27-03-2022

Answer:

mFP=62 degrees

Answer Link

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