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VARVARA [1.3K]
3 years ago
8

? What is the next step in the proof? Choose the most logical approach. Given: Transversal t passes through parallel lines r and

s. Prove: ∠3≅∠6 ∠4≅∠5 Statement Reason 1. r || s given 2. ∠3≅∠7 ∠4≅∠8 For parallel lines cut by a transversal, corresponding angles are congruent. 3.
Mathematics
2 answers:
ExtremeBDS [4]3 years ago
7 0
<span>What is the next step in the proof? Choose the most logical approach. Statement: ∠1≅∠8 and ∠2≅∠7 Reason: Congruent Supplements Theorem Statement: m∠3+m∠4=180° and m∠7+m∠8=180° Reason: Linear Pair Theorem Statement: m∠3+m∠5=180° and m∠4+m∠6=180° Reason: definition of supplementary angles Statement: ∠7≅∠6 and ∠8≅∠5 Reason: Vertical Angles Theorem Done </span>
andreyandreev [35.5K]3 years ago
6 0

Statement: ∠7≅∠6 and ∠8≅∠5

Reason: Vertical Angles Theorem Done

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A choral conductor has 1542 singers in her choir, some of them are professional singers. The conductor wants to estimate what pe
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Answer:

The value is  \r p  =  2.9\%

Step-by-step explanation:

From the question we are told that

   The  number of singers is  N  =  1542

   The  sample  size is  n  =  650

    The  number the number of singers who are professional is k =  19

The  proportion of professional singers is mathematically represented as

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The  percentage estimate of singers who are professional is

      \r p  =  100 * 0.029

       \r p  =  2.9\%

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