Given: l || m; ∠1 ∠3
1 answer:
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:
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Answer:
394 m
Step-by-step explanation:
From the solution diagram attached ;
The distance between boat and base of hill is represented as d ;
Using the trigonometric relation :
Tan θ = opposite / Adjacent
Tan 13 = 91 / d
Tan 13 * d = 91
d = 91 / Tan(13)
d = 394.16 m
d = 394 m (nearest meter)
