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Lubov Fominskaja [6]
3 years ago
13

What is the value of x? Enter your answer in the box. x =

Mathematics
1 answer:
Nat2105 [25]3 years ago
7 0

Answer:

9

Step-by-step explanation:

In a equilateral triangle all angles are equal and 60° each so

7x - 3 = 60° ➡ 7x = 63° ➡ x = 9

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Determine if the sequence is arithmetic. If it is, find the common difference.
mr_godi [17]

Answer:

In an arithmetic sequence, the difference between any two consecutive terms must always be the same number, which is known as the common difference.

So we just need to take different pairs of consecutive terms and see if their difference is always the same:

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32 - 35 = -3

29 - 32 = -3

26 - 29 = -3

So yes, this is an arithmetic sequence and the common difference is -3

2) The differences are:

-23 - (-3) = -20

-43 - (-23) = -20

-63 - (-43) = -20

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3) The differences are:

-64 -(-34) = -30

-94 -(-64) = -30

-124 -(-94) = -30

This is an arithmetic sequence and the common difference is -30

4) The differences are:

-40 -(-30) = -10

-50 - (-40) = -10

-60 - (-50) = -10

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5) The differences are:

-9 - (-7) = -2

-11 - (-9) = -2

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This is an arithmetic sequence, and the common difference is 5.

7 0
3 years ago
You are going to a 1940 mile trip, and your car get about 28 miles per gallon. Gas prices along your route average $2.95 per gal
Nataliya [291]

Answer: \$\ 204.4

Step-by-step explanation:

Given

The total length of the trip is l=1940\ \text{miles}

Car average is 28 miles per gallon

So, car requires

\Rightarrow \dfrac{1940}{28}=69.285\ \text{gallon}

Price of gas is $2.95 per gallons

\therefore \text{cost is =}69.285\times 2.95\\\Rightarrow \$\ 204.4

So, the cost of the trip is \$\ 204.4

8 0
3 years ago
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