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Contact [7]
3 years ago
14

Based only on the information given in the diagram, it is guaranteed that JKL ~ WXY.

Mathematics
2 answers:
Alika [10]3 years ago
6 0

Answer:

Option A True

Step-by-step explanation:

we know that

The sum of the internal angles of  the triangle is equal to 180\°

<u>In the triangle JKL</u>

m∠L=180\°-90\°-27\°=63\°

so

The measurements of the angles of triangle JKL are 27\°-90\°-63\°

<u>In the triangle WXY</u>

m∠W=180\°-90\°-63\°=27\°

so

The measurements of the angles of triangle WXY are 27\°-90\°-63\°

therefore

Triangle JKL and triangle WXY are similar by AAA ( The AAA postulate states that if you can prove that all three angles of two triangles are congruent, you can prove the two triangles are similar)

antoniya [11.8K]3 years ago
4 0
It is an absolutely true statement that based <span>only on the information given in the diagram, it is guaranteed that JKL ~ WXY. The correct option among the two options that are given in the question is the first option or option "A". I hope that this is the answer that has actually come to your desired help.</span>
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\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$750\\ r=rate\to 4.75\%\to \frac{4.75}{100}\dotfill &0.0475\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases} \\\\\\ A=750\left(1+\frac{0.0475}{1}\right)^{1\cdot 3}\implies A=750(1.0475)^3\implies A\approx 862.032

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