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3 years ago

What does x = help please

Mathematics

2 answers:

Lunna [17]3 years ago

6 0

Answer:

x = 15

Step-by-step explanation:

It is a 90 degree angle.

2x + 4x = 90 degrees

6x = 90 degrees

90 divided by 6 = 15

x = 15

Allisa [31]3 years ago

4 0

Answer:

x= 90/4*2x

Step-by-step explanation:

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3 years ago

Read 2 more answers

What is the sum of the geometric series in which a1 = 4, r = 3, and an = 324?

olganol [36]

$\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
a_n=324
\end{cases}
\implies 
324=4(3)^{n-1}
\\\\\\
\cfrac{324}{4}=3^{n-1}\implies 81=3^{n-1}\implies 3^4=3^{n-1}\implies 4=n-1
\\\\\\
\boxed{5=n}\\\\$

$\bf -------------------------------\\\\
\qquad \qquad \textit{sum of a finite geometric sequence}\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
n=5
\end{cases}
\\\\\\
S_5=4\left( \cfrac{1-3^5}{1-3} \right)\implies S_5=4\left(\cfrac{1-243}{-2} \right)$

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wel

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