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Vitek1552 [10]
3 years ago
15

Find the value of x. I need to show my work*** THANK YOU

Mathematics
2 answers:
FrozenT [24]3 years ago
8 0

Answer:

29 = x

Step-by-step explanation:

The two angles shown are vertical angles and vertical angles are equal

59 = 2x+1

subtract 1 from each side

59-1 = 2x+1-1

58 = 2x

Divide by 2

58/2 = 2x/2

29 = x

Alchen [17]3 years ago
3 0

Answer:

x=29

Step-by-step explanation:

They are vertical angles so 59=2x+1

58=2x

x=29

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There are 22 rows of seats on a concert hall: 23 seats are in the 1st row, 27 seats on the 2nd row, 31 seats on the 3rd row, and
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We can model this situation with an arithmetic series.
we have to find the number of all the seats, so we need to sum up the number of seats in all of the 22 rows.

1st row: 23
2nd row: 27
3rd row: 31
Notice how we are adding 4 each time.

So we have an arithmetic series with a first term of 23 and a common difference of 4.

We need to find the total number of seats. To do this, we use the formula for the sum of an arithmetic series (first n terms):

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tₙ = t₁ + (n-1)d,

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tₙ = 23 + (n-1)(4)

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Step-by-step explanation:

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Step-by-step explanation:

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