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pishuonlain [190]
2 years ago
12

Given: l || m; ∠1 ∠3

Mathematics
1 answer:
Katarina [22]2 years ago
3 0

The parts that are missing in the proof are:

It is given

∠2 ≅ ∠3

converse alternate exterior angles theorem

<h3>What is the Converse of Alternate Exterior Angles Theorem?</h3>

The theorem states that, if two exterior alternate angles are congruent, then the lines cut by the transversal are parallel.

∠1 ≅ ∠3 and l║m because we are: given

By the transitive property,

∠2 and ∠3 are alternate interior angles, therefore, they are congruent to each other by the alternate interior angles theorem.

Based on the converse alternate exterior angles theorem, lines p and q are proven to be parallel.

Therefore, the missing parts pf the paragraph proof are:

  • It is given
  • ∠2 ≅ ∠3
  • converse alternate exterior angles theorem

Learn more about the converse alternate exterior angles theorem on:

brainly.com/question/17883766

#SPJ1

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Step-by-step explanation:

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2 years ago
The total length of wires a b and c is 445 cm wire a is 45 cm longer then wire b and wire b is half as long as wire c how long i
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Answer:

a = 145\ cm

Step-by-step explanation:

Given

a + b + c = 445

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b = \frac{1}{2}c

Required

Determine the length of a

Solve for c in b = \frac{1}{2}c

2 * b = \frac{1}{2}c * 2

2b  = c

c = 2b

Substitute c = 2b and a = 45 + b in a + b + c = 445

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45 + b + b + 2b = 445

45 + 4b = 445

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4b = 445 - 45

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Solve for b

b = 400/4

b = 100

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a=45+100

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