. If RST - UVW, find mZW. S 85 48° R TU W

Mathematics

1 answer:

Advocard [28]3 years ago

4 0

Answer:

47°

Step-by-step explanation:

if it is the same, then the angles are the same

180 - 85 - 48 = 47

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Prove that H c G is a normal subgroup if and only if every left coset is a right coset, i.e., aH = Ha for all a e G

Kaylis [27]

$\Rightarrow$

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$\Leftarrow$

Suppose $aH=Ha$ for all $a\in G$ . Let $h\in H$ , we have to prove $aha^{-1} \in H$ for every $a\in G$ . So, let $a\in G$ . We have that $ha^{-1} =a^{-1}h'$ for some $h'\in H$ (by the hypothesis). hence we have $aha^{-1}=h' \in H$ . Because $a$ was chosen arbitrarily we have the desired .