The missing words to complete the proof are respectively; Vertical Angles; Corresponding angles; Transitive Property
<h3>How to prove congruent angles?</h3>
The image of the transversal line is attached.
1) We know that lines a and b are parallel and that line c is a transversal because that is given.
2) We can tell that angles 2 and 5 are congruent because vertical angles are congruent.
3) Angles 5 and 7 are congruent because corresponding angles by parallel lines cut by a transversal are congruent.
4) Therefore, angles 2 and 7 are congruent based on the transitive property.
Read more about Congruent Angles at; brainly.com/question/1675117
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Closure property: If a and b are real numbers, a+b is also a real number.
- Associative property: a+(b+c) = (a+b)+c.
- Commutative property: a+b = b+a.
- Additive identity: a+0 = a.
- Additive inverse: a + (-a) = 0.
For Multiplication -
Answer:
Given:
n = 15
c = 95% = 0.95
Let us assume:
α = 0.05
Determine the difference in value of each pair.
→See attached for the table←
→See attached for the for the workings←
Result
a) There is sufficient evidence to reject the claim that the two methods provide the same mean value for natural vibration frequency.
b) (-10.9646, -0.0068)
1. 5
2. 8
3. 24
4. 45
I don't know if this was right but it should be bc it shows you all ready for a and b and then for 3 you just times 8 by 3 and for 4 you times that by 9×5
Answer:
No.
Here's the break why it is not proportional...

The proportion breaks near the end because the multipliers no longer match.