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3 years ago

What is the value of x in the regular polygon below? A. 40 B. 120 C. 60 D. 150

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

4 0

Answer:

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6, thus

sum = 180° × 4 = 720°

Thus each interior angle = 720° ÷ 6 = 120° and therefore

3x = 120 ( divide both sides by 3 )

x = 40 → A

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Find the 9th term of the geometric sequence whose common ratio is 1/3 and whose first term is 2.

raketka [301]

Answer:

2/6561

Step-by-step explanation:

Geometric sequence formula : $a_n=a_1(r)^n^-^1$

where an = nth term, a1 = first term , r = common ratio and n = term position

given ratio : 1/3 , first term : 2 , given this we want to find the 9th term

to do so we simply plug in what we are given into the formula

recall formula : $a_n=a_1(r)^n^-^1$

define variables : a1 = 2 , r = 1/3 , n = 9

plug in values

a9 = 2(1/3)^(9-1)

subtract exponents

a9 = 2(1/3)^8

evaluate exponent

a9 = 2 (1/6561)

multiply 2 and 1/6561

a9 = 2/6561

7 0

2 years ago

Simplify (8^4/10^4)^-1/4using rational exponents

Vlad1618 [11]

Answer:

$(\frac{8^4}{10^4} )^{-\frac{1}{4} }$ = $\frac{5}{4}$

Step-by-step explanation:

Explanation

Given

$(\frac{8^4}{10^4} )^{-\frac{1}{4} }$

By using algebra formulas

$(\frac{a}{b} )^{m} = \frac{a^m}{b^n}$

$(\frac{8^4}{10^4} )^{-\frac{1}{4} } = \frac{(8^{4})^{\frac{-1}{4} } }{(10^{4} )^{\frac{-1}{4} } }$

$(a^{m} )^{n} = a^{mn}$

$\frac{(8^{4})^{\frac{-1}{4} } }{(10^{4} )^{\frac{-1}{4} } } = \frac{8^{4X\frac{-1}{4} } }{10^{4 X\frac{-1}{4} } }$

= $\frac{8^{-1} }{10^{-1} }$

$= \frac{10}{8} \\= \frac{5}{4}$

Final answer:-

$(\frac{8^4}{10^4} )^{-\frac{1}{4} }$ = $\frac{5}{4}$

7 0

3 years ago

Solve the equation. C3 = 216

Anna [14]

Step-by-step explanation:

C= 72..............

C3=216

C=216

C = 72

Thanks

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2 years ago

Read 2 more answers

Plzzz helpppp!!!!! How can you identify the solution to a system of inequalities?

VladimirAG [237]

Answer:

The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality

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2 years ago

Passage 1

Delvig [45]

I think it’s the last one I’m not sure tho :)

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2 years ago