Which statement describes this pair of congruent triangles?

Solving the expression, it is found a counterexample that when [tex]n = 1[/tex], [tex]n^2 + 1 = 2[/tex] is even.

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[tex]E(n) = n^2 + 1[/tex]

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For n = 0:

[tex]E(0) = 0^2 + 1 = 0 + 1 = 1[/tex]

Odd number.

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For n = 1:

[tex]E(1) = 1^2 + 1 = 1 + 1 = 2[/tex]

Even, thus, this is the counterexample.

A similar problem is given at https://brainly.com/question/17784562

Answer:

F, J, K

Step-by-step explanation:

The other choices are regarded as expressions not equations, in which you can find the value of the the given variable.

Answer:

$189

Step-by-step explanation:

210 has to be multiplied by the decimal form of the percentage, 0.10, which equals to 21. This will be subtracted from 210, giving you an answer of $189.

Given;

The figure of a right angle triangle.

To find:

The value of x.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]

In the given right angle triangle,

[tex]\cos (45^\circ)=\dfrac{7}{x}[/tex]

[tex]\dfrac{1}{\sqrt{2}}=\dfrac{7}{x}[/tex]     [tex][\because \cos (45^\circ)=\dfrac{1}{\sqrt{2}}][/tex]

On cross multiplication, we get

[tex]1\times x=7\times \sqrt{2}[/tex]

[tex]x=7\sqrt{2}[/tex]

Therefore, the value of x is [tex]7\sqrt{2}[/tex] units.

Step-by-step explanation:

Slope = -5/5 = -1

Answer:

m=-1

Step-by-step explanation:

Slope is equal to the change in

y, over the change in x, (or rise over run)

pick any two points on the line to apply to this formula.

m= 3-(2) / 2-(3)

m=-1

Answer:

-3/2

Step-by-step explanation:

y=mx +b

where m is the slope and b is the y intercept

we just need to rewrite 3x+2y+18=0 to look like that

We need to get y by itself

3x+18= -2y

we need y to be positive and to have no number in front of it (no coeficcent)

y= -3/2x-9

the slope is therefore -3/2

Answer:

[tex]-\frac{3}{2} [/tex]

Step-by-step explanation:

3x + 2y + 18 = 0

Equating it with.

ax + by + c = 0, we find:

a = 3, b = 2, c = 18

Slope of the line [tex] =- \frac{a}{b} =-\frac{3}{2} [/tex]

Step-by-step explanation:

the answer is in the attachment

The graph of the function y= 5(x + 1)²– 3 is attached accordingly. See the description of the graph below.

The equation y = 5(x + 1)² - 3 represents a quadratic function.

The graph is a parabola with its vertex at (-1, -3). It opens upward since the coefficient of the squared term (x²) is positive.

The graph is vertically stretched by a factor of 5 compared to the standard quadratic function.

The x-coordinate of the vertex is -1, indicating a horizontal shift of 1 unit to the left from the standard quadratic.

Learn more about graphs at:

https://brainly.com/question/25799000

#SPJ2

Answer:

A im pretty sure

Step-by-step explanation:

We are given:

There were 7 chocolate bars, evenly shared between 4 friends

Number of Bars one person will get:

Number of bars one person will get = Number of Bars / Number of Friends

Number of Bars = 7 / 4

but since this number does NOT match any of the given options, we will convert it to a mixed fraction

The number of bars one person will get will be [tex]1\frac{3}{4}[/tex], written as a mixed fraction.

Therefore, the correct answer is option D

Answer:

4 friends =7 chocolate

1 friend =7/4 chocolate =1 3/4 part of chocolate.

Answer:

Step-by-step explanation:

only y=2x+4 has the same slope as y=2x-4

slope=2

Answer: slope = 3/4

Step-by-step explanation: 3 up and 4 to the right so the fraction(slope) is 3/4

Answer:

1:2

Step-by-step explanation:

12:24=1/2

Answer:

5 7/15 = D

Step-by-step explanation:

Find a common denominator multiply the many times you did to the denominator to the numerator then subtract.

15 is your common denominator so I would multiply 5 to 2 to get 9 10/15 then I would multiply 3 to 1 to get 4 3/15

Answer:

5 7/15

Step-by-step explanation:

Let's solve your equation step by step.

We will solve it in just 3 simple steps.

Step 1: Converting into Improper Fraction.

Converting into an Improper Fraction is the only way to subtract fractions.

We will turn 9 2/3 into 29/3

First you need to know:

What is a numerator?

What is a denominator?

What is a whole number?

If you know, you can skip this part.

A denominator is the lower number below the line in a fraction. (ex. 2/3 <-- "3" is the denominator)

A numerator is the higher number above the line in a fraction. (ex. 2/3 <---"2" is the numerator)

A whole number is a number that has no fraction or decimal. (ex. "3" or "2" or "7".)

With that said, let's solve.

In 9 2/3, "9" is the whole number. "2" is the numerator, and "3" is the denominator.

We always multiply the whole number by the denominator, then we add the numerator.

So:

(9 x 3) + 2 = 29

Then, we keep the denominator the same. "3".

We then get:

29/3. Which is what we want.

Let's repeat the same steps with 4 1/5.

(4 x 5) + 1 = 21

Keep the denominator : 21/5

Now we are on Step 2.

We currently have 29/3 - 21/5

But we don't have the denominators the same.

We need to find the LCD (Least Common Denominator of 3 and 5.  

Since these numbers are less than 10, my trick is to just multiply them together. 3 x 5 = 15, simply put.

Now, let's change all the denominators to 15. Now let's change the numerators.

For the fraction that had 3 as the denominator, let's multiply 5 to it. And for the fraction that had 5 as the denominator, let's multiply 3 to it.

We then get :

145/15 - 63/15

We are now on Step 3.

This step is simple. Just subtract 145 - 63 because the denominators are the same.

145 - 63 = 82

We now have 82/15.

This is the answer, but we always need to simplify it.

How many times can 15 fit into 82? 5. But we have 7 left over.

So we now have :

5 7/15

You can quiet literally write the question as it is.

The difference of a number x and 2 is 7.

The difference of a number x and 2 can be written as x-2

is can be written as equal or =

This statement can be translated as x-2=7.

It is as simple as that!

Answer:

18a +9

Step-by-step explanation:

Brainliest?!?!!?

Step-by-step explanation:

If you want to expand it then,

9(2a+1)

= 18a + 9 (Ans)

Answer:

10 to the first power

Step-by-step explanation:

yea it should be

Answer:

multiplication

Step-by-step explanation:

PEMDAS

Answer:

The answer is JLK

Step-by-step explanation:

Answer:

A) 1/2(3)(2.6)=3.9

B) 1/2(3)(5)=7.5

C) 7.5x3=22.5

D) 22.5+3.9=26.4

Step-by-step explanation:

A) 1/2(3)(2.6)=3.9

B) 1/2(3)(5)=7.5

C) 7.5x3=22.5

D) 22.5+3.9=26.4

Answer:

y= 28x+8

Step-by-step explanation:

Answer: z

=

0.375

Step-by-step explanation:

Answer:

0.375

Step-by-step explanation:

Answer:

21. -21

22. 72

23. 20

24 -30

25. 48

Answer:

Step-by-step explanation:

-3*w=3.5-22.7

w= -19.2/-3

w= 6.4

Answer:

35.7t

Step-by-step explanation:

i took the quiz so i now its rhit at least i think