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4 years ago

Can someone please help me with this ?

Mathematics

1 answer:

aniked [119]4 years ago

4 0

Answer:

Step-by-step explanation:

BNEcause AAS popport

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Name two pairs of congruent angles using the figure shown.

Troyanec [42]

Option 1, they are congruent angles because they are base angles of a triangle. Therefore, they are congruent

4 0

2 years ago

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,

$l_n=3^n-1$

8 0

3 years ago

---8 (-5 + 13) + 12 : 6 x 2

madreJ [45]

Step-by-step explanation:

-8 ( - 5 + 13) + 2 : 1 x 2

-8 ( 8) + 2 : 2

-64 + 1

-63

6 0

3 years ago

Ruth found 37 tickets for $7. Please help Ruth by figuring out the ratio. (round to 2 decimal places)

Amanda [17]

Answer:

Ratio of ticket to its price is 1 : 0.189.

Step-by-step explanation:

Here, the cost of 37 tickets = $7

Let us find the unit cost of the ticket.

$\textrm{Unit Price } = \frac{\textrm{Total Price of n units}}{\textrm{n}}$

$\implies U = \frac{7}{37}=0.189$

So, the unit price of each ticket = $0.189

Now, ratio of Each Ticket: Unit Price = 1 : 0.189

Hence, the ratio of ticket to its price is 1 : 0.189.

3 0

3 years ago

Evaluate. (1/4)^−2−(5^0⋅2)⋅1^−1 Enter your answer in the box. HELP! 100 POINTS!

Ymorist [56]

Answer:

$\Huge \boxed{\mathrm{14}}$

$\rule[225]{225}{2}$

Step-by-step explanation:

$(\frac{1}{4} )^{-2} - (5^0) (2)(1^{-1})$

Solving for exponents and multiplying:

$(4 )^{2} - (1) (2)(1)$

$16-2$

Subtracting:

$\Rightarrow \ 14$

$\rule[225]{225}{2}$

5 0

3 years ago

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