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Roman55 [17]
4 years ago
11

0.6 recurring as a percentage

Mathematics
1 answer:
Nataly [62]4 years ago
6 0
X = 0.6666....    |multiply both sides by 10

10x = 6.666...

10x - x = 6.666... - 0.666...

9x = 6      |divide both sides by 9

x = 6/9

x = 2/3

0.666... = 2/3

2/3 = 2/3 · 100% = 200/3% = 66 2/3 %
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The sum of two integers is 51. The larger number is 3 more than 5 times the smaller number. Find the value of the larger number
Alona [7]

Answer:

Larger number = 43

Step-by-step explanation:

Smaller number = x

Larger number = 5x + 3

Sum of two integers = 51

x + 5x + 3 = 51    

       6x + 3 = 51

             6x = 51-3

             6x = 48

               x = 48/6

                x = 8

Larger number = 5x + 3

                         = 5*8 + 3

                          = 40 + 3

                         = 43    

5 0
3 years ago
Look at the angles for all regular polygons. As the number of sides increases, do the measures of the angles increase or decreas
Verdich [7]

Answer:

As the number of sides increases, the measures of the angles increase

see the explanation

Step-by-step explanation:

we know that

The measure of the interior angle in a regular polygon is equal to

x=\frac{(n-2)}{n}(180^o)

where

n is the number of sides of the regular polygon

x is the measure of the interior angle in a regular polygon

we have that

<u><em>Examples</em></u>

<em>A triangle</em>

n=3 sides

x=\frac{(3-2)}{3}(180^o)=60^o

<em>A square</em>

n=4 sides

x=\frac{(4-2)}{4}(180^o)=90^o

<em>A pentagon</em>

n=5 sides

x=\frac{(5-2)}{5}(180^o)=108^o

<em>A hexagon</em>

n=6 sides

x=\frac{(6-2)}{6}(180^o)=120^o

so

n ----> 3,4,5,6...

x ----> 60°,90°,108°,120°,...

As the number of sides increases, the measures of the angles increase

The pattern is x=\frac{(n-2)}{n}(180^o)

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