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stich3 [128]
3 years ago
5

b) What is the sum of the exterior angles of the equilateral triangle ∠M + ∠R + ∠X? Explain your reasoning. (2 points)

Mathematics
1 answer:
kykrilka [37]3 years ago
3 0

120 degrees is anwser because 180-60 is 120 you know the angles of triangle are 60 because it is an equateral triangle

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Consider circle A in the diagram below
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<h3>Answer: Choice D) 56 degrees</h3>

How I got that answer:

Angle DCE is given to be 62 degrees. By the inscribed angle theorem, It doubles to 124 degrees, which is the measure of central angle DAE.

Note how angles DAF and DAE are a linear pair. This means they are adjacent supplementary angles. So they add to 180

(angle DAF)+(angle DAE) = 180

(angle DAF) + (124) = 180

angle DAF = 180-124

angle DAF = 56

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3 years ago
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A pizza company sells a small pizza for $6. Then it charges $2 per topping. What equation corresponds to this scenario? (20 poin
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Step-by-step explanation:

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Which explanation provides the best real-world scenario of the graph? If an object is dropped from a height of 38 feet, the func
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Find the surface area of the figure below. Round your answer to the nearest hundredth if necessary,
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Suppose a ball is thrown upward to a height of h 0 meters. After each​ bounce, the ball rebounds to a fraction r of its previous
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Answer:

A)1st term:45

2nd term:48.75

3rd term:49.6875

4th term:49.921875

B) Sₙ = h₀ + 2h₀((∞, n=1) Σrⁿ)

Step-by-step explanation:

We are given;

h₀ = Initial height of the ball = 30

r = Rebound fraction = 0.25

a) The arithmetic sequence of bouncing balls is given by the following;

Sₙ=h₀+2h₀(r¹+r²+r³+r⁴.........rⁿ)

The first term of the sequence is;

S₁ = h₀ + 2h₀r¹

S₁ = 30 + (2 × 30 × 0.25)

S₁ = 45

The second term of the sequence is;

S₂ = h₀ + 2h₀(r¹+r²)

S₂ = 30 + (2 × 30 × (0.25 + 0.25²)) = 48.75

The third term of the sequence is;

S₃ = h₀ + 2h₀(r¹ + r² + r³) = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³)) = 49.6875

S₄ = h₀ + 2h₀(r¹ + r² + r³ + r⁴)

S₄ = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³ + 0.25⁴)) = 49.921875

B) The general expression for the nth term of the sequence is;

Sₙ = h₀ + 2h₀((∞, n=1) Σrⁿ)

4 0
3 years ago
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