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Katena32 [7]
3 years ago
9

Help meh wit this bruh‍♂️

Mathematics
2 answers:
ladessa [460]3 years ago
7 0

Answer:

1. m∠BPD = 120°

2. m∠BC + m∠AD = 120°

Leno4ka [110]3 years ago
6 0

Answer:

a) m∠BPD = 120°

b) m∠BC + m∠AD = 120°

Step-by-step explanation:

a) To solve for question a, we make use of a theorem called the intersecting chord theorem. This states that:

The measure of the angle formed by two chords that intersect inside a circle is the average of the measures of the intercepted arcs.

The Interior angle =( The larger exterior arc + The smaller exterior arcs) ÷ 2

The larger exterior arc (m∠BD) = 170°

The small exterior arc (m∠CA) = 70°

m∠BPD = m∠BD + m∠CA/2

m∠BPD = 170° + 70°/2

= 240°/2

= 120°

b) We are to find m∠BC + m∠AD

The sum of exterior angles in a circle = 360°

360° = m∠BD + m∠CA + m∠BC + m∠AD

360° = 170° + 70° + m∠BC + m∠AD

360° = 240 + m∠BC + m∠AD

360 - 240° = m∠BC + m∠AD

Thererefore,

m∠BC + m∠AD = 120°

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Step-by-step explanation:

The given is:

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  • When 28 runners dropped out of the competition, the ratio became 5 : 6

We need to find how many total swimmers are competing

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- Multiply each term of the ratio by x

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Learn more:

You can learn more about the ratio in brainly.com/question/2707032

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