Fill in the blank. Given O below, you can conclude that xz is congruent to

Mathematics

2 answers:

Illusion [34]2 years ago

7 0

Answer:

Step-by-step explanation:

I do not know the mathematical answer all i know is that they are congruent

g100num [7]2 years ago

6 0

Answer : The XZ is congruent to AC.

Step-by-step explanation :

First we have to prove ΔOBC and ΔOYX are congruent triangles.

Proof:

Side OC = Side OX (radius of same circle)

Side OB = Side OY (equal to 22)

∠B = ∠Y (equal to 90°)

ΔOBC ≅ ΔOYX (By SAS congruency)

So, Side BC = Side YX (By CPCT)

Similarly, Side AB = Side ZX

Or we can say that,

Chord XZ = Chord AC

Hence, the XZ is congruent to AC.

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Aleksandr [31]

$\bf ~~~~~~~~~~~~\textit{Future Value of an ordinary annuity}\\
~~~~~~~~~~~~(\textit{payments at the end of the period})
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right] \\\\\\
~~~~~~
\begin{cases}
A=\textit{accumulated amount}\\
pymnt=\textit{periodic payments}\to &3350\\
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n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &7
\end{cases}$

$\bf A=3350\left[ \cfrac{\left( 1+\frac{0.197}{1} \right)^{1\cdot 7}-1}{\frac{0.197}{1}} \right]\implies A=3350\left[\cfrac{1.197^7-1}{0.197} \right]
\\\\\\
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now, for 7 years she has been depositing $3350, so the amount that she put out of her pocket is 7*3350.

and we know the compounded amount is A, so the interest is just their difference.

42868.8357223119 - (7 * 3350).

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OverLord2011 [107]

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