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4 years ago

I need 3 4 and 5 ill mark you brainiest

Mathematics

2 answers:

AysviL [449]4 years ago

6 0

Answer:

3) x=4 4)x = 9 5) x=5

Step-by-step explanation:

3) first you have to find the inside of the angle. A straight line = 180*

180-(19x+3) = 177-19x

Than you add all the angles up to equal 180.

(177 - 19x) + (11x-2) + (9x+1) = 180

if you simplify this x = 4. You can check your answer by subbing in for x.

4)first you have to find the inside of the angle. A straight line = 180*

180- (17x-23) = 203-17x

Than add the sides up to equal 180. keep in mind there are 2 of the same angles.

(203-17x)+(7x+2)(2) = 180

Simplify

x=9

5) 180-151=29* this is the inner angle.

(11x-1)+(20x-3)+29=180

31x+25=180

x=5

Zigmanuir [339]4 years ago

3 0

3) x=4
4) x=9
5) x=5

Yo

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Part 1.

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3 years ago

Read 2 more answers

Suppose the Tower of Hanoi rules are changed so that stones may only be transferred to an adjacent clearing in one move. Let In

Svet_ta [14]

Answer:

$l_n=3^n-1$

Step-by-step explanation:

We will prove by mathematical induction that, for every natural n,

$l_n=3^n-1$

We will prove our base case (when n=1) to be true:

Base case:

As stated in the qustion, $l_1=2=3^1-1$

Inductive hypothesis:

Given a natural n,

$l_n=3^n-1$

Now, we will assume the inductive hypothesis and then use this assumption, involving n, to prove the statement for n + 1.

Inductive step:

Let´s analyze the problem with n+1 stones. In order to move the n+1 stones from A to C we have to:

Move the first n stones from A to C ( $l_n$ moves).
Move the biggest stone from A to B (1 move).
Move the first n stones from C to A ( $l_n$ moves).
Move the biggest stone from B to C (1 move).
Move the first n stones from A to C ( $l_n$ moves).

Then,

$l_{n+1}=3l_n+2$ .

Therefore, using the inductive hypothesis,

$l_{n+1}=3l_n+2=3(3^n-1)+2=3^{n+1}-3+2=3^{n+1}-1$

With this we have proved our statement to be true for n+1.

In conlusion, for every natural n,

$l_n=3^n-1$

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