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Ad libitum [116K]
3 years ago
10

Which expression represents the number of sides in the polygon for the nth member of the pattern?

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
5 0
Given a triangle (3 sides), a hexagon (6 sides) and a nonagon (9 sides).

The sides increases by 3 and the equation that represents the pattern is 3n.

Therefore, the <span>expression that represents the number of sides in the polygon for the nth member of the pattern is 3n.</span>
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A+b/a-b=5/3 what are the following ratios? 3a:2b
Papessa [141]

Answer:

3 a : 2 b = 6 : 1

Step-by-step explanation:

<em>\frac{a + b}{a - b} = \frac{5}{3}</em>

<em>3 ( a + b) = 5 ( a - b) </em>

<em>3 a + 3 b = 5 a - 5 b </em>

<em>5 b + 3 b = 5 a - 3 a </em>

<em> 8 b = 2 a </em>

<em> 2 a = 8 b</em>

<em><u>a = 4 b</u></em>

<em>3 a = 3 × 4 b</em>

<em><u>3 a = 12 b</u></em>

<em>3 a: 2 b = 12 b : 2 b</em>

<em>3 a : 2 b = 6 : 1</em>

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3 0
3 years ago
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Simplify. final answer should be written in standard form (a+b)(3a-b)(2a+7b)
algol13

we have

(a+b)(3a-b)(2a+7b)

step 1

Solve

apply distributive property

(a+b)(3a-b)=3a^2-ab-3ab-b^2=3a^2-4ab-b^2

step 2

Multiply (3a^2-4ab-b^2) by (2a+7b)

6a^3+21a^2b-8a^2b-28ab^2-2ab^2-7b^3=6a^3+13a^2b-30ab^2-7b^3

answer is

<h2>6a^3+13a^2b-30ab^2-7b^3</h2>
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56 out of 154 in simplest form of a fraction
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28/77

Dividing each number by seven, we have:

4/11

As the greatest common factor of 4 and 11 is 1, this fraction is in simplest form.  Thus, 56/154 is equal to 4/11.
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3 years ago
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Answer:

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