Answer:
A and E
Step-by-step explanation:
A is true because two congruent chords have the two corresponding (in this specific case small) arc that are congruent
B we haven’t enough information to say it, same of C and D
E is true because CED and BFC are congruent because they have three corresponding side that are congruent
The sum of the two <em>rational</em> equations is equal to (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²).
<h3>How to simplify the addition between two rational equations</h3>
In this question we must use <em>algebra</em> definitions and theorems to simplify the addition of two <em>rational</em> equations into a <em>single rational</em> equation. Now we proceed to show the procedure of solution in detail:
- (n + 5) / (n² + 3 · n - 10) + 5 / (3 · n²) Given
- (n + 5) / [(n + 5) · (n - 2)] + 5 / (3 · n²) x² - (r₁ + r₂) · x + r₁ · r₂ = (x - r₁) · (x - r₂)
- 1 / (n - 2) + 5 / (3 · n²) Associative and modulative property / Existence of the multiplicative inverse
- [3 · n² + 5 · (n - 2)] / [3 · n² · (n - 2)] Addition of fractions with different denominator
- (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²) Distributive property / Power properties / Result
To learn more on rational equations: brainly.com/question/20850120
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About 450 books and articles Euler completed after he lost his sight entirely.
<h3>Who was Leonhard Euler?</h3>
Leonhard Euler was a mathematician from Switzerland. He introduced the fundamentals of graph theory and topology.
His main field of work includes number theory, mechanics, fluid mechanics, and many more.
The life span of Euler was between 1707 and 1783. In the last few years of his life, he lost the eye sight. But the eye sight loss doesn't affect him from doing his work. In his lifespan, he published around 886 books and articles on various fields or science, mathematics and engineering.
After the total blindness, he published more than 450 books and articles.
For more details about Euler, refer to the link:
brainly.com/question/573685
There's nothing to multiply. However, you can factor it to get (x + 4)(x - 4).
The answer is 2 gallons of syrup per batch.
