1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stealth61 [152]
2 years ago
11

Find the measure of the central angle below: 45°

Mathematics
1 answer:
Semenov [28]2 years ago
4 0
The central angle below is 1
You might be interested in
What is the length of CB??<br>Show work
Ierofanga [76]

Answer:

I personnally have no ideaa

Step-by-step explanation:

no ideaaa

6 0
2 years ago
Read 2 more answers
Let H be a subgroup of a group G. We call H characteristic in G if for any automorphism σ∈Aut(G) of G, we have σ(H)=H.
choli [55]

Answer:Problem 1. Let G be a group and let H, K be two subgroups of G. Dene the set HK = {hk : h ∈ H,k ∈ K}.

a) Prove that if both H and K are normal then H ∩ K is also a normal subgroup of G.

b) Prove that if H is normal then H ∩ K is a normal subgroup of K.

c) Prove that if H is normal then HK = KH and HK is a subgroup of G.

d) Prove that if both H and K are normal then HK is a normal subgroup of G.

e) What is HK when G = D16, H = {I,S}, K = {I,T2,T4,T6}? Can you give geometric description of HK?

Solution: a) We know that H ∩ K is a subgroup (Problem 3a) of homework 33). In order to prove that it is a normal subgroup let g ∈ G and h ∈ H ∩ K. Thus h ∈ H and h ∈ K. Since both H and K are normal, we have ghg−1 ∈ H and ghg−1 ∈ K. Consequently, ghg−1 ∈ H ∩ K, which proves that H ∩ K is a normal subgroup.

b) Suppose that H G. Let K ∈ k and h ∈ H ∩ K. Then khk−1 ∈ H (since H is normal in G) and khk−1 ∈ K (since both h and k are in K), so khk−1 ∈ H ∩ K. This proves that H ∩ K K.

c) Let x ∈ HK. Then x = hk for some h ∈ H and k ∈ K. Note that x = hk = k(k−1hk). Since k ∈ K and k−1hk ∈ H (here we use the assumption that H G), we see that x ∈ KH. This shows that HK ⊆ KH. To see the opposite inclusion, consider y ∈ KH, so y = kh for some h ∈ H and k ∈ K. Thus y = (khk−1)k ∈ HK, which proves that KH ⊆ HK and therefoere HK = KH. To prove that HK is a subgroup note that e = e · e ∈ HK. If a,b ∈ HK then a = hk and b = h1k1 for some h,h1 ∈ H and k,k1 ∈ K. Thus ab = hkh1k1. Since HK = KH and kh1 ∈ KH, we have kh1 = h2k2 for some k2 ∈ K, h2 ∈ H. Consequently,

ab = h(kh1)k1 = h(h2k2)k1 = (hh2)(k2k1) ∈ HK

(since hh2 ∈ H and k2k1 ∈ K). Thus HK is closed under multiplication. Finally,

Step-by-step explanation:

6 0
3 years ago
Solve <br> S = 2πr(h + r) for h
Margarita [4]

Answer:

S/2πr-r = h

Step-by-step explanation:

S = 2πr(h + r)

S/2πr = h+r

S/2πr - r = h

6 0
2 years ago
Which correctly renames
Goshia [24]

Answer:

woahhh thats confusing ash

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Is 5/6 closer to 1, 1/2, or 2 and why?
velikii [3]
1 because 5/6 is almost a whole. It can't be 1/2 because it would have been 3/6. And it's not 2 because it should have been an improper faction
4 0
3 years ago
Other questions:
  • Can someone please help me I have no idea how to do this :(?!
    10·1 answer
  • 127.90 in expanded form
    9·1 answer
  • Divide. Express the quotient in simplest form.
    14·1 answer
  • I need the answers please
    10·1 answer
  • Employment data at a large company reveal that 59% of the workers are married, that 20% are college graduates, and 1/6 of the co
    10·1 answer
  • Use the draw a diagram strategy to solve. Corbin read of the pages in his book. He has 42 pages left to read. How many pages did
    13·1 answer
  • The Strike Zone Battling Center provides cages for baseball players to perfect their swing. The patron pays a fixed rate of $12.
    5·1 answer
  • I need help on my math hw. Due tomorrow!
    9·1 answer
  • A restaurant is 60 miles away Hannah drives 3/5 and hi drives 5/6 who has driven farther and how many miles dies each still need
    10·1 answer
  • What is the answer to this question?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!