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We can write

n = 10a + b

where a and b belong to {1, 2, 3, …, 9}.

Swapping the digits produces a new number

n' = 10b + a

and adding 3 to this number makes up 2n,

n' + 3 = 2n

or

(10b + a) + 3 = 2 (10a + b)

so that

19a - 8b = 3

Since we want n to be the smallest possible 2-digit number that meets the criteria, let's start with a = 1. Then solving for b, we find

19 - 8b = 3

16 = 8b

b = 2

So, the number we're looking for is n = 12.

Just to confirm, swapping the digits gives 21, and 21 + 3 = 24 = 2•12.

Based on the information given, it should be noted that the supplement will be 48°.

It should be noted that two angles are called supplementary angles when the values that are added together will be equal to 180°.

In this case, we've been informed that one of the angles is 132°. Therefore, the value of the second angle will be:

= 180° - 132°

= 48°

The second angle is 48°.

Learn more about angles on:

https://brainly.com/question/23991796

Hi, let me help you out!

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In this problem, we're trying to find the supplement of [tex]\tt{132\textdegree}[/tex].

Supplementary angles add up to [tex]\tt{180\textdegree}[/tex].

So, let's find its supplement:

[tex]\tt{\angle x+132=180}[/tex], where x is the unknown angle.

Subtract 132 from both sides of the equal sign:

[tex]\boxed{\tt{\angle x=48\textdegree}}[/tex] [tex]\longleftarrow\tt{We\:conclude\:that\:this\:is\:the\:answer.}[/tex]

I hope it helps you! Have an awesome day!

If you need any explanation or clarification, feel free to comment and ask me, and I'll respond asap and do my best to help you out! :D

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Answer:

1/3 part of 120 hours....

Answer:

sorry no

Step-by-step explanation:

Answer:

Not a because it is only consistant with x not y because it goes 1 2 4 then 6

not b because only consistant with x not y because it goes 1 2 2 2

It is c because it goes 2 4 6 and 8 which is a consistent rate of two.

Step-by-step explanation:

Answer:

Parul's age=7 years

Atul's age=19 years

Step-by-step explanation:

Let present age of Parul be x

Let present age of Atul be y

3 years ago

Parul's age=x-3

Atul's age=y-3

5 years after

Parul's age=x+5

Atul's age=y+5

According to question

y-3=4(x-3)

y-3=4x-12

y-4x+9=0.....(1)

y+5=2(x+5)

y+5=2x+10

y-2x-5=0......(2)

from(1),y=4x-9

Put y in (2)

4x-9-2x-5=0

2x-14

2x=14

x=7

y=19

Parul's age=7 years

Atul's age=19 years

Answer:

A and A

Step-by-step explanation:

What exactly is we supposed to do?

I'll answer it after u answer my question

Answer:

x=40

Step-by-step explanation:

46+57=103

180-103=77

180-162=18

180-58=122

122+18=140

140+x=180

x=40

Answer/Step-by-step explanation:

9-3= 6 units (since x coordinates are same). We can also show by manually counting the squares (1 square= 1 unit)

Yes, its greater. Distance from house to school is 6. Distance from school to grocery is 3-(-8)= 11. Thus, distance is 11+6= 17 units.

Distance from house to school is 6. Distance from school to community center is 1-(-4)=5. Thus, distance= 6+5=11 units.

Answer:

6n + 24

Step-by-step explanation:

Refer to the attachment.

=》y = -10

_____

Hope it helps ⚜

Answer:

180, 145

Step-by-step explanation:

There are 60 minutes in an hour, so we do 3*60=180 for the first one.

For the second one, we first find the minutes in 2 hours, which is 2*60=120. We add 120+25 and get 45.

Answer:

y = -9

Step-by-step explanation:

Combine like terms first; 6y-8y=-2y and -8-6=-14  

-2y-14=4.

Then add 14 to both sides.

-2y=18

Lastly, divide both sides by -2

y=-9

Answer: = -9

Step-by-step explanation:

1. subtract -8-6 which equals -14

2. Combine like terms which are -8y and 6y and you should get -2y

3. Add 14 on both sides eliminate the -14 on one side. it should be -2y = 18

4. Now you want to get y all on its own so you divide -2 on both sides -2y/2 = 18/-2

5. and you should be able to cancel out -2y and get y= -9

Answer:

60√2

Step-by-step explanation:

Factor the value 450

450 = 9 x 50 = 9 x 5 x 2

4√450 = [tex]4\sqrt{9*25*2[/tex]

            = [tex]4*3*5\sqrt2[/tex]

            = [tex]60\sqrt2[/tex]

[tex]60\sqrt2[/tex]

-Chetan K

Following are the calculation to the square root:

Given:

[tex]\bold{4 \sqrt{450}}[/tex]

To find:

square root=?

Solution:

Calculating the factor of 450:

[tex]\to 450 = 9 \times 50 = 9 \times 5 \times 2 \\\\\to 4\sqrt{450} =4 \sqrt{ 9 \times 25 \times 2}\\\\[/tex]

               [tex]=4 \times 3 \times 5 \sqrt{2} \\\\ =60 \sqrt{2} \\\\[/tex]

Therefore, the final answer is "[tex]60 \sqrt{2}[/tex]".

Learn more:

brainly.com/question/19795061

Answer:

  (b)  increase the height so the slant height triples

Step-by-step explanation:

The lateral area is jointly proportional to the radius and the slant height of the cone. Increasing either one individually by a factor of 3 will triple the lateral area.

To triple the lateral area, you can ...

  increase the height so the slant height triples

Answer:

D)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

8 * 1/2 = (8*1)/2 = 8 / 2 = 4

Answer:

2055 is the answer.

Step-by-step explanation:

If x represents the number of minutes and y represents the hiker elevation in feet.

y = 8.19x + 663

y = 8.19(170) + 663

y = 1392.3 + 663

y = 2055.3

Hope it helps:)

Answer:

:)

Step-by-step explanation:

Answer: No association

Step-by-step explanation:

There is absolutely no pattern going on. This means that the miles ran per week are not really affecting the standing heartbeat. Therefore, I'd say there is no association.

Answer:

5.2

?

Step-by-step explanation:

[tex]\text{Given that,}\\\\(x_1,y_1) = (5,2)~~ \text{And} ~~ (x_2,y_2) =(1,0)\\\\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{0 - 2}{1 -5} = \dfrac{-2}{-4} = \dfrac 12[/tex]

Answer:

  (a) f^-1(x) = 1/4x -3

  (b) f is not the inverse of g

Step-by-step explanation:

The inverse of function f can be found by solving ...

  x = f(y)

  x = 4y +12

  x -12 = 4y

  x/4 -3 = y

The inverse of function f is ...

  f^-1(x) = 1/4x -3

__

g(x) ≠ f^-1(x), so g^-1(x) ≠ f(x). Function f is not an inverse of g.

_____

Additional comment

Function g is a quadratic, so it doesn't have an inverse function, except on a restricted domain.

Because g is 2nd degree, any inverse relation will involve a 1/2 power (square root). Both f and its inverse are linear functions, so cannot be inverses of g.

Answer:

x=22, y=35

Step-by-step explanation:

since this is an isosceles triangle, 3x-11 = 2x+11. so x=22

since this is a triangle 3x-11 + 2x+11 + 2y = 180. plug in x and simplify to get 2y+110=180, so 2y=70 and y=35

Answer:

A=5.375

Step-by-step explanation:

46.28-3.28= 43

43÷8= 5.375

I hope this helps

Answer:

[tex]y \: = \: \frac{2}{13} x \: + \: \frac{9}{13} [/tex]

Step-by-step explanation:

we need to write it in the form y = mx + c where m is the slope(gradient) and y is the y intercept

1) add 9 to both sides

2x = 13y - 9

2x + 9 = 13y

2)divide 13 on both sides

2x + 9 = 13y

2/13x + 9/13 = y

final equation is

[tex]y \: = \: \frac{2}{13} x \: + \: \frac{9}{13} [/tex]

Answer:

A

Step-by-step explanation:

d = 1150 km = 1150 km / 1.61 miles = 714.29 miles

r = 55 mph

d / r = time

714.29 / 55 = 12.99 hours.

The closest time to that is 13 hours.

Answer:

2.32x10^-11

here ya go luv <3

Answer:

B

Step-by-step explanation:

40/100 is equal to 40% so 24/x =40/100 means 24 is 40% of x