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arlik [135]
3 years ago
7

Amanda and Stephen wrote the following proofs to prove that vertical angles are congruent. Who is correct? Line segment NT inter

sects line segment MR forming four angles. Angles 1 and 3 are vertical angles. Angles 2 and 4 are vertical angles. Amanda's Proof Statement Justification ∠1 + ∠4 = 180° Definition of Supplementary Angles ∠3 + ∠4 = 180° Definition of Supplementary Angles ∠1 + ∠4 = ∠3 + ∠4 Transitive Property of Equality ∠1 ≅ ∠3 Subtraction Property of Equality Stephen's Proof Statement Justification ∠1 + ∠2 = 180° Definition of Supplementary Angles ∠2 + ∠3 = 180° Definition of Supplementary Angles ∠1 + ∠2 = ∠2 + ∠3 Transitive Property of Equality ∠1 ≅ ∠3 Subtraction Property of Equality
Mathematics
2 answers:
alexira [117]3 years ago
5 0
The answer:

the valid proof is <span>Amanda's.

</span><span>Statement Justification ∠1 + ∠4 = 180°
 Definition of Supplementary
Angles ∠3 + ∠4 = 180°
Definition of Supplementary Angles
∠1 + ∠4 = ∠3 + ∠4

Transitive Property of Equality ∠1 ≅ ∠3 </span>
ollegr [7]3 years ago
5 0

I agree with Nirina7

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<u>Step-by-step explanation:</u>

Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:

We know that Sum of a GP is :

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So ,Sum of first 12 terms is :

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So , 20th term is :

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⇒ a_2_0 = (2)^{20}

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