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QveST [7]
2 years ago
5

What is the range of the heights of the girls?

Mathematics
1 answer:
Softa [21]2 years ago
8 0

Answer:

Formula of range is HIGHEST VALUE - LOWEST VALUE....

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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

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
3 years ago
Which Venn diagram has shading that represents the union of set G and set I?<br> answer plslsls
Ad libitum [116K]

Answer:

  • B or the second diagram

Step-by-step explanation:

<u>The sets as per diagrams are as follows</u>

  • 1. Intersection of G and I
  • 2. Combination of G and I
  • 3. Combination of G and I excluding H
  • 4. Combination of G and I excluding common region

7 0
2 years ago
please help! this is for a grade and its overdue!!!!!!!! If the blueprint is drawn on the coordinate plane with vertices (1, 5)
viktelen [127]

Answer:

50 \sqrt[]{2} feet

Step-by-step explanation:

Given the vertices  (1, 5) and (11, 15) for the corners labeled with red stars, the diagonal of the square C will be the length of the line joining the two vertices.

Using the Distance Formula:

Since 1 Square Unit = 25 Square Feet

1 Unit =5 feet

Therefore, the length of the diagonal

7 0
3 years ago
Read 2 more answers
max has 623.22 in his checking account and a check that he wrote to his landlord for 625.00 was just deposited. This will result
Marta_Voda [28]
Max will be missing $1.78 in his account. Is that one of the fee choices?
8 0
3 years ago
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Can someone help me with this 4x+6=2x+10
vodomira [7]

So if you are solving for x we have to do this
4x+6=2x+10
4x-2x=10-6
2x=4
x=4/2
x=2

8 0
3 years ago
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