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Minchanka [31]
3 years ago
10

Solve the following equation. Express your answer as an integer, simplified fraction, or decimal rounded to two decimal places.

Mathematics
1 answer:
Nostrana [21]3 years ago
8 0
7=4w+19
7-19 = 4w+19-19
-12 = 4w
-12/4 = 4w/4
-3 = w
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Answer:

Step-by-step explanation:

The angles labeled 4y - 8 and 79 + y are called vertical angles, and definition, vertical angles are congruent.  That means algebraically, that

4y - 8 = 79 + y and

3y = 87 and

y = 29

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What is 150/100 in decimal form and percent form
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Use the recursive relationship to complete the next two rows of Pascal's triangle. Row 5: 1 _ _ _ _ 1 Row 6: 1 _ _ _ _ _ 1
frosja888 [35]

Answer:

      1  <u> 5 </u>  <u>10 </u>  <u>10</u>   <u>5</u>   1           Row 5

   1   <u>6</u>   <u>15</u>  <u>20</u>  <u>15</u>   <u>6</u>    1       Row 6

Recursive relationship:

Each row has number of positions = row number + 1. The Row 0 is always 1.

The first and last number in each row is 1, the number in the second position and the penultimate corresponds to the number of the row.  The middle numbers correspond to the sum of the two numbers in the top row. The resulting number from the addition is located in the middle of the numbers added in the next row.

Step-by-step explanation:

The pascal's triangle

* Row 0  =  1

* Row 1 = 1  1

                   1                          Row 0

                1    1                       Row 1

Since there are only two positions, the first and last are 1.

*Row 2 = 1  _ 1

                   1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

2 is the sum of 1 + 1 and we place it in the next row between the added numbers 1 and 1.

* Row 3 = 1 _  _    1

                  1                          Row 0

                1    1                       Row 1

              1   <u>2</u>  <u>1 </u>                    Row 2

            1   3   <u>3</u>  1                   Row 3

1 + 2 = 3  (the row number and the and adding the numbers from the previous row)

* Row 4 = 1 _  _    _   1

                  1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

            1   <u>3</u><u> </u>  <u>3</u>  1                   Row 3

         1   4   <u>6</u>   4   1                Row 4

1 + 3 = 4  (the row number)

3 +3 = 6

* Row 5 = 1 _  _   _  _   1

                  1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

            1   3   3  1                   Row 3

         1   4   6  4   1                Row 4

     1   5   10   10   5   1           Row 5

1 + 4 = 5

4 + 6 = 10

* Row 6 = <u>1</u>  _  _ _  _  _   <u>1</u>

                  1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

            1   3   3  1                   Row 3

         1   4   6   4   1                Row 4

     1   5   <u>10</u> <u> 10 </u>  5   1           Row 5

   1   6   15  <u>20</u>  15   6   1        Row 6

1 + 5 = 6

5 + 10 = 15

10 + 10 = 20

3 0
2 years ago
Mue.
astraxan [27]
The mode is 2.4 idk the rest
4 0
3 years ago
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