In triangle ABC, angle A is 75o and angle B is 20o. Select the triangle that is similar to triangle ABC.

Mathematics

1 answer:

Arturiano [62]3 years ago

4 0

Answer:

A. $\triangle$ DEF where $\angle D = 75^{\circ}$ and $\angle E = 20^{\circ}$ .

Step-by-step explanation:

At first we must keep in mind that two triangles are similar when they have same angle configuration, that is, each pair of angles is congruent. If $\triangle$ ABC and $\triangle$ DEF, then $\angle A \equiv \angle D$ and $\angle B \equiv \angle E$ . Hence, $\angle D = 75^{\circ}$ and $\angle E = 20^{\circ}$ .

In a nutshell, correct answer is A.

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\begin{cases}
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after 3 years?

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\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$1000\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
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\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
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