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Pepsi [2]
3 years ago
6

What is the 22nd term of the arithmetic series where a1=8 and a9=56?

Mathematics
1 answer:
Wewaii [24]3 years ago
7 0
A 1 = 8, a 9 = 56
a 9 = a 1 + 8 d
56 = 8 + 8 d
8 d = 48
d = 6  ( common difference )
a 22 = a 1 + 21 d = 8 + 21 · 6 = 8 + 126 = 134


SO the answer is the 22nd term is 134

I really hope this helps!
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A factory makes rods by cutting plastic pipes that are 5 feet long into 13 rods. How long is each rod? I NEED IT NOWW
Kazeer [188]

Answer:

0.3846 feets

Step-by-step explanation:

Given that :

Full length of rod = 5 feets

Number of equal length rod cut from full length rod = 13

Length of each rod cut :

Full length of rod / number of equal length rod cut

5 feets / 13

= 0.3846 feets

3 0
2 years ago
Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the
harina [27]

Answer:

The missing statement is Corresponding angles theorem

Step-by-step explanation:

In this question we are finding the reason for the statement ∠6 ≅ ∠2.

We will write the statements and then we'll give their reasons.

     <u> Statement </u>                                      <u>Reason</u>

1) a || b, is a transversal                             Given

2)   ∠6 ≅ ∠2                                        <em> </em><u><em>Corresponding angles theorem </em></u>

3)  m∠6 = m∠2                                       def. of congruent

4) ∠6 is supp. to ∠8                                 def. of linear pair

5) ∠2 is supp. to ∠8                                congruent supplements theorem

Corresponding Angles Theorem states: If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

The angles in matching corners are called Corresponding Angles.We can further define it as corresponding angles are angles that are in the same relative position at an intersection of a transversal and at least two lines. If the two lines are parallel then the corresponding angles are congruent

Thus the missing statement is Corresponding Angles Theorem.

8 0
2 years ago
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Ronald is saving money to buy a bicycle. He has $37.80 in his savings account and saves 20% of his paper route
Fofino [41]

37.80 \times  \frac{1}{5}  = \frac{37.80 \times 1}{5}  =  \frac{37.80}{5}  = 7.56
5 0
3 years ago
I need help with this question please. This is also part of a homework practice fyi
julsineya [31]

Given the following polynomial:

11-x^3

The standard form will be:

\text{ -x}^3\text{ + 11}

The degree of a polynomial is the largest exponent on one of its variables.

In the given expression, the degree of the polynomial is 3.

The terms in the given expression are -x³ and 11. Therefore, the number of terms is 2.

In summary:

Standard form: -x³ + 11

Degree: 3

Number of terms: 2

Therefore, the answer is letter C.

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4 0
1 year ago
The weight of 3 eggs is 120g.Assuming the three eggs are all the same weight find the constant of proportionality
liberstina [14]
Each egg weighs 40g...
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