If AABC = ADEC, LC = 55°, ZD = 65°, and ZB = 2x D С В B. x = [?]

Mathematics

1 answer:

elena55 [62]3 years ago

6 0

Answer:

x = 30

Step-by-step explanation:

65 + 55 = 120

angle B must equal 60

angle B is labeled as 2x

set up equation to solve for 'x': 2x = 60

x = 30

add up all angles to make sure you get 180 degrees

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$\bf \qquad \qquad \textit{Future Value of an ordinary annuity}\\
\left. \qquad \qquad \right.(\textit{payments at the end of the period})
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$\bf \qquad 
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A=
\begin{array}{llll}
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\end{array}
\begin{array}{llll}

\end{array}\\
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\begin{array}{llll}
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A=P\left(1+\frac{r}{n}\right)^{nt}
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\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$19100.55\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &11
\end{cases}
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