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4 years ago

What is the reason for step 5 in this proof

Mathematics

1 answer:

Deffense [45]4 years ago

4 0

Answer:

Angle addition and the definition of a straight angle

Step-by-step explanation:

The definition of a straight angle is that that any straight angle must measure 180 degrees, Because youre adding the 3 angles of the graph your perfoming and angle addition and as they must measure 180 degrees, the three angles follow the rule of a straight angle.

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A surveying instrument is 5 feet from the ground, 22 feet from the base of a building. The angle of elevation from the top of th

g100num [7]

Answer:

$\frac{\left(22\cdot \sin \left(60\right)\right)}{\sin \left(30\right)} +5$

43.1 ft

Step-by-step explanation:

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3 years ago

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-4=3x+4 what is the answer?

Arte-miy333 [17]

Answer:

simple

Step-by-step explanation:

-4-4=3x

-8=3x

x=8/3

x=2.678

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3 years ago

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Could someone please help?

elena-s [515]

Answer:

1. 7% change increase

2. 27%change decrease

3. 39% change decrease

4. 29% change increase

Step-by-step explanation:

I hope this is right

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3 years ago

Plzz help with this question!!!

gulaghasi [49]

Answer:

D: New York City is the correct answer

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3 years ago

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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

$4^k\equiv3k+1\mod9$
$4\equiv4\mod9$
$\implies 4\times4^k\equiv4(3k+1)\mod9$
$\implies 4^{k+1}\equiv12k+4\mod9$

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.

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4 years ago