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Ad libitum [116K]
3 years ago
11

I need to determine each angles measure. M 4 M 6

Mathematics
1 answer:
Ulleksa [173]3 years ago
7 0
By geometrical inspection we have:
 M4 = 30
 Then the angle M6 can be determined from the fact that you have a rectangle triangle (345) that has an angle of 90 and another of 30. The missing angle measures:
 180-90-30 = 60 = M3
 Then to find M6 we have
 M3 + 60 + M6 = 180
 M6 = 180-60-M3
 M6 = 180-60-60
 M6 = 60
 answer:
 M4 = 30
 M6 = 60
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F(x) = x(x - 1)<br><br> g(x) = 3x<br> find (f*g)(6)
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Step-by-step explanation:

<u>Given functions:</u>

  • f(x) = x(x - 1)
  • g(x) = 3x

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Question 6: please help me out here :(((
Murljashka [212]

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m∠1 = 106

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The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.

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7 0
2 years ago
Use mathematical induction to show that 4^n ≡ 3n+1 (mod 9) for all n equal to or greater than 0
cestrela7 [59]
When n=0, you have

4^0=1\equiv3(0)+1=1\mod9

Now assume this is true for n=k, i.e.

4^k\equiv3k+1\mod9

and under this hypothesis show that it's also true for n=k+1. You have

4^k\equiv3k+1\mod9
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In other words, there exists M such that

4^{k+1}=9M+12k+4

Rewriting, you have

4^{k+1}=9M+9k+3k+4
4^{k+1}=9(M+k)+3k+3+1
4^{k+1}=9(M+k)+3(k+1)+1

and this is equivalent to 3(k+1)+1 modulo 9, as desired.

3 0
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