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KonstantinChe [14]
3 years ago
9

PLEASE HELP, I NEED THE ANSWERS ASAP, I WILL AWARD BRAINLIEST!

Mathematics
1 answer:
Georgia [21]3 years ago
8 0

Answer:

1. The larger number is 2x + 7. The smaller number is x.

Let x be the smaller number

(7 + 2x) + x = 43

Since they are all in addition, we can get rid of the parenthesis.

7 + 2x + x = 43

2x and x are similar variables, we can add them both together.

7 + 3x = 43

7 + (-7) + 3x = 43 + (-7)

3x = 36

3x/3 = 36/3

x = 12

Let's check

[7 + 2(12)] + 12

(7 + 24) + 12

31 + 12 = 43

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Reuben learned in art class that a mosaic is made by arranging small pieces of colored material such as glass or tile to create
anastassius [24]

Pattern is the rule that guides the formation of a set.

  • <em>The sequence of the first five mosaics is 5, 8, 11, 14, 17</em>
  • <em>The sequence is arithmetic</em>
  • <em>There are 32 tiles in the tenth mosaic.</em>

From the given design, the number of tiles used is:

T_1 = 5

T_2 = 8

T_3 = 11

<u />

<u>(a) The first five</u>

Notice that the difference in the number of tiles of successive mosaic is 3.

This means that:

T_4 = T_3 + 3 = 11 +3 = 14

T_5 = T_4 + 3 = 14 +3 = 17

So, the sequence of the first five mosaics is 5, 8, 11, 14, 17

<u>(b) The type of sequence</u>

The sequence is arithmetic

This is so, because the difference in the number of tiles of successive mosaic is 3.

This difference is called the common difference

<u>(c) The number of tiles in the tenth mosaic</u>

The nth term of an arithmetic sequence is:

T_n = T_1 + (n - 1) \times d

In this case:

T_1 = 5

d =3

n = 10

So, we have:

T_{10} = 5 + (10 - 1) \times 3

T_{10} = 5 + 9 \times 3

T_{10} = 5 + 27

T_{10} = 32

There are 32 tiles in the tenth mosaic.

Read more about arithmetic sequence at:

brainly.com/question/18109692

5 0
3 years ago
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Represents the line graphed
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What is the value of x
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Answer:

x = 37.53

Step-by-step explanation:

Tan theta = opposite/adjacent

tan 47 = x /35

Multiply each side by 35

35 tan 47 = x/ 35 * 35

35 tan 47 = x

37.53290485=x

To two decimal places

x = 37.53

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What is the perimeter of a square if one side is 2 one side is 5 one side is 3 and the last side is 3
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Answer:

If you just add them together you get 13

Step-by-step explanation:


7 0
3 years ago
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