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Alex787 [66]
3 years ago
15

What is the value of h in the figure below? In this diagram, ΔNMP ~ ΔONP.

Mathematics
2 answers:
katen-ka-za [31]3 years ago
7 0

Answer:

D.6

Step-by-step explanation:

apex

xeze [42]3 years ago
3 0
The answer is d i hope this helps even though you prob wont look
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Step-by-step explanation:


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MrRissso [65]

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2 years ago
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

Suppose first that H\subset G is a normal subgroup. Then by definition we must have for all a\in H, xax^{-1} \in H for every x\in G. Let a\in G and choose (ab)\in aH (b\in H). By hypothesis we have aba^{-1} =abbb^{-1}a^{-1}=(ab)b(ab)^{-1} \in H, i.e. aba^{-1}=c for some c\in H, thus ab=ca \in Ha. So we have aH\subset Ha. You can prove Ha\subset aH in the same way.

\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 .

 

5 0
2 years ago
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