Answer:
Step-by-step explanation:
1. Find the eighth term
You have an arithmetic sequence. It starts at 75 and each successive term is 5 more than the one preceding it
The general formula for the nth term (aₙ) is
aₙ = a₁ + (n - 1)d
where a₁ is the first term and d is the common difference (5) between consecutive terms. Thus,
a₈ = 75 + (8 - 1) × 5 = 75 + 7 × 5 = 75 + 35 = 110
2. Find the sum
The formula for sum of the first n terms of an arithmetic sequence is
So
Answer:
If it is $10,570 then the answer is 1510, but if you made a typo and meant 105,700, then the answer is 15100.
The fill up are:
5. ∠B ≅ ∠B
6. AA Similarity Postulate
7. a/c = c/a
8. a² = cx
9. ∠CDA ≅ ∠BCA
10. ∠A ≅ ∠A
11. ΔCBA ~ ΔDBA
<h3>What is Similarity Postulate?</h3>
The above answers shows that:
5. Reflexive Property
6. AA Similarity Postulate
7. Polygon Similarity Postulate
8. Cross Multiply and Simplify
9. All right angles are Congruent
10. Reflexive Property
11. AA similarity Postulate
To prove the above:
Note that the full proof of the Pythagorean theorem is that:
We are given: Δ ABC as a right triangle, with a right angle at ∠C.
Then the Prove: A²+B² =C²
Therefore, If you follow the theories above, you will see that the answers given are correct.
Learn more about triangle from
brainly.com/question/14686407
#SPJ1
