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Nikolay [14]
4 years ago
9

What does it mean for triangles to be congruent?

Mathematics
1 answer:
siniylev [52]4 years ago
8 0
SAS (Side-Angle-Side): If two pairs of sides of two triangles are equal in length, and the included angles are equal in measurement, then the triangles are congruent. SSS (Side-Side-Side): If three pairs of sides of two triangles are equal in length, then the triangles are congruent.
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Which is the recursive formula for the sequence whose explicit formula is an = (n 1)2?
maw [93]

The recursive formula of the explicit rule an = (n + 1)² is a_n = a_{n-1} + 2n + 1 where a1 = 4

<h3>How to determine the recursive formula?</h3>

The explicit formula is given as:

an = (n + 1)²

This means that:

a1 = (1 + 1)² = 4

a₂ = (2 + 1)² = 9

a₃ = (3 + 1)² = 16

Rewrite as:

a₂ = 4 + 2 * 2 + 1 = 9

a₃ = 9 + 2 * 3 + 1 = 16

Substitute a₂ = 9

a₃ = a₂ + 2 * 3 + 1 = 16

Express 2 as 3 - 1

a₃ = a₃₋₁ + 2 * 3 + 1

Express 3 as n

a_n = a_{n-1} + 2 * n + 1

Evaluate the product

a_n = a_{n-1} + 2n + 1

Hence, the recursive formula of the explicit rule an = (n + 1)² is a_n = a_{n-1} + 2n + 1 where a1 = 4

Read more about explicit rules at:

brainly.com/question/1275192

#SPJ4

5 0
2 years ago
Help with this question!Please
Nimfa-mama [501]
Answer= 60
For both answers X= 60
3 0
3 years ago
Read 2 more answers
It was -5 celsius in Copenhagen and -12 celsius in Oslo. Which city was colder?
BARSIC [14]

Answer:

Oslo

Step-by-step explanation:  -12 is below -5.  Therefore it is colder the further below on the temperature


4 0
4 years ago
Read 2 more answers
Find the slope of the following graph and Choose the correct result
-BARSIC- [3]

Answer: B 1/3

Step-by-step explanation:

For every 3x it travels 1 y so you will get 1/3 as your answer.

At 50y the line is at 10x.  By the time it is at 60 y it is at 40x.  This was a change in y by 10 and change in x by 30.  There fore the answer is 10/30 or 1/3.

3 0
3 years ago
Read 2 more answers
Which of the following companies would be most risky to invest in?
Gre4nikov [31]

Answer:

A.  

Company A makes bold moves and grows rapidly.

Step-by-step explanation:

I just took the test thats the right answer

5 0
3 years ago
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