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vazorg [7]
3 years ago
9

Hey guys PLEASE HELP

Mathematics
1 answer:
PIT_PIT [208]3 years ago
4 0

Answer:

Option (3)

Step-by-step explanation:

            Statements                             Reasons

1). l ⊥ n                                        1). Given

2). ∠1 = 90°                                 2). Definition of perpendicular lines

3). m ⊥ n                                     3). Given

4). ∠2 = 90°                                4). Definition of perpendicular lines

5). ∠1 ≅ ∠2                                 5). Corresponding angles postulate

6). m∠2 = 90°                             6). Substitution property of equality

7). m ⊥ n                                     7). Definition of perpendicular lines

Hence, Option (3) will be the correct option.

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The fourth term of a sequence is 25.
Andrei [34K]

Answer:

<em>Answer below</em>

Step-by-step explanation:

<u>Arithmetic Sequences </u>

They can be identified because any term is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The formula to calculate the nth term of an arithmetic sequence is:

a_n=a_1+(n-1)r

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

Suppose we know the 4th term (n=4) of a sequence is 25:

a_4=a_1+(4-1)r=25

Simplifying:

a1 + 3r = 25

We can choose any combination of a1 and r to satisfy the equation above.

Solving for a1:

a1 = 25 - 3r

a)

Choosing r = 3:

a1 = 25 - 3*3 = 16

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And the term rule is:

a_n=16+3(n-1)

Choosing r=8

a1 = 25 - 3*8 = 1

The sequence is:

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The term rule is:

a_n=1+8(n-1)

Choosing r=-10

a1 = 25 - 3*(-10) = 25 + 30 = 55

The sequence is:

55, 45, 35, 25, ...

The term rule is:

a_n=55-10(n-1)

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