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2 years ago

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

Mathematics

1 answer:

zhannawk [14.2K]2 years ago

5 0

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°

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The LCM will be the values that are common to both factors. From the given values the LCM will be 2² * 3² * 5

<h3>Least common multiple</h3>

LCM is the lowest number that can divide all other numbers given in an expression.

Given the prime factorizations 2² * 3² * 5 and 2*3*5. The LCM will be the values that are common to both factors.

From the given values the LCM will be 2² * 3² * 5

Learn more on LCM here: brainly.com/question/233244

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