Triangle CDA is the image of triangle ABC after a 180° rotation around the midpoint of segment AC. Triangle ECB is the image of triangle ABC after a 180° rotation around the midpoint of segment BC.

• 2k -1 , 7 and 11 are in AP .

• The value of k .

• As we know that , In AP common difference is same .

• b - a = c - b

=> 2b = a + c

Here :

• a = 2k-1

• b = 7

• c = 11

=> 2 (7) = 2k-1+11

=> 14 = 2k+10

=> 2k = 14-10

=> 2k = 4

=> k = 4/2

=> k = 2 .

Hence ,the value of k is 2 .

Hope it will help you.

Regards.

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{topic = }{ \bf { \textcolor{orange}{mathematics = }{ \bf{ \textcolor{cyan}{answer = }}}}}}}[/tex]

M.C.M=

[tex] \bf \textcolor{red}{ \huge{48}}[/tex]

3-16-2|2

3-8-1 |2

3-4-1 |2

3-2-1 |2

3-1-1 |3

1-1-1

2⁴•3

M.C.M=

2•2=4

2•2=4

4•4=16

16•3=48

[tex] \bf \textcolor{green}{ \underbrace{48}}[/tex]

Answer:

a. C= 5/9(F-32)

Step-by-step explanation:

you have to subtract 32 from both sides so that leaves you with f-32=9/5c and so then you need to multipy each side my 5/9 and that leaves yoh with 5/9(f-32)=c

Answer:

x = 0

Step-by-step explanation:

Using the rule of exponents

[tex]a^{0}[/tex] = 1

Given

[tex](2^{6}) ^{x}[/tex]

= [tex]2^{6x}[/tex]

The only way for this to equal 1 is for x to be zero

Thus x = 0

Answer:

1) M(x) = 5 + 3x

2) Dependent variable; 3 dollar bills

Independent variable: chores

3) Range is continuous

Domain is discrete

4) Range: 0 ≤ x ≤ 10

Domain: 5 ≤ M ≤ 35

Step-by-step explanation:

We are told he started with 5 number of $1 dollar bills and that every Saturday, he earns 3 more $1 dollar bill.

Thus, total number of $1 bills earned after x number of Saturdays(weekly) is;

M(x) = 5 + 3x

After 10 weeks, total number is;

M(10) = 5 + 3(10)

M(10) = 35

The dependent variable is the 3 more dollar bills earned each Saturday because it depends on chores he completed. While the independent variable is the chores because it doesn't depend on anything.

After 10 weeks, the range and domain will be;

Range: 0 ≤ x ≤ 10

For the; Domain:

For x = 1, M(0) = 5 + 3(0) = 5

M(10) = 35

Thus;

Domain: 5 ≤ M ≤ 35

The range could be all numbers in the interval from 0 to 10. Thus, it is continuous.

Whereas, the domain doesn't contain all the numbers in the interval from 5 to 35. Thus it is Discrete.

Answer:

she will have one fee for standard overdraft practices and that will prevent a fee from the grocery. store

Step-by-step explanation:

We are told she wrote a check to the grocery store for $156.00.

And that when she looked at her check register later that day, she had only $122.66.

This means she doesn't have sufficient balance for the grocery.

It means the bank will pay the overdraft and it attracts charges which may vary for different banks.

Thus, she will have one fee for standard overdraft practices and that will prevent a fee from the grocery store

Step-by-step explanation:

52 + 14 < 3x

66 < 3x

66/3 < x

22 < x

Answer:

x > 22

Step-by-step explanation:

52- 3x<-14

-3x < -14 -52

-3x < -66

x > 22

Answer:

Yes

Step-by-step explanation:

The only reason a graph will not be a function is if it doesn't pass the vertical line test. In other words, if you draw a vertical line at any point, it will never pass through more than 1 point.

In that case, that is true, so it must be a function.

Answer:

4

Step-by-step explanation:

2x-2/5=4

2x= 4+(2/5)

2x= 4/5+20/5

x=(22/5)/2

x= 22/10 or 11/5

check:

2(11/5)-2/5=(22/5)-(2/5)

=20/5

=4

Answer:

213 answer

Step-by-step explanation:

I hope it help

Answer:

₹ 5000

Step-by-step explanation:

Income= ₹ 25000

House rent = 1/5 of 25000

                  = [tex]\frac{1}{5}*25000[/tex]

                 = ₹ 5000

Other expenditure = 3/5 of 25000

                              = [tex]\frac{3}{5}*25000[/tex]

                              = 3 * 5000

                              = ₹ 15000

Savings = 25000 - ( 5000 + 15000)

              = 25000 - 20000

              = ₹ 5000

Answer:

I will return to this question in 3 minutes....please wait.

It is the middle of the night and yeah

Step-by-step explanation:

thougth ri4rng4g 3i45uto34jkmt

Answer:

2 years: 30

5 years: 75

7 years :105

10 years:150

i think those are the answer

Step-by-step explanation:

take the interest percentage and divide by 100 ex:5.2%100= 0.052

take the dollar amount and multiply interest decimal ex:$ 450*0.052=23.40

take the sum of dollar amount and interest decimal and multiply by # of years of interest ex:3 years *23.40 =70.20 interest and that is how you do it      

Nishi will have amounts as $3300, $3750, $4050, and $4500 after 2, 5, 7, and 10 years respectively.

The formula for simple interest is:

I = Prt

Where:

I = Interest earned

P = Principal (amount invested)

r = Interest rate (as a decimal)

t = Time (in years)

Using the simple interest formula to calculate how much Nishi will have after a certain number of years.

2 years:

I = Prt = 3000 x 0.05 x 2 = $300

Total amount after 2 years = P + I = $3300

5 years:

I = Prt = 3000 x 0.05 x 5 = $750

Total amount after 5 years = P + I = $3750

7 years:

I = Prt = 3000 x 0.05 x 7 = $1050

Total amount after 7 years = P + I = $4050

10 years:

I = Prt = 3000 x 0.05 x 10 = $1500

Total amount after 10 years = P + I = $4500

Learn more about the simple interest here:

brainly.com/question/22621039

#SPJ2

Answer:

€20,000

Step-by-step explanation:

% decrease = (original price of the car - new price) ÷ original price × 100

Let "x' represents the original price before the decrease.

New price = €13,000

% decrease = 35%

Plug in the values into the equation

[tex] 35 = \frac{x - 13,000}{x}*100 [/tex]

[tex] 35 = \frac{100x - 1,300,000}{x} [/tex]

Multiply both sides by x

[tex] 35*x = \frac{100x - 1,300,000}{x}*x [/tex]

[tex] 35x = 100x - 1,300,000 [/tex]

Subtract 100x from both sides

[tex] 35x - 100x = 100x - 1,300,000 - 100x [/tex]

[tex] -65x = -1,300,000 [/tex]

Divide both sides by -65

[tex] \frac{-65x}{65} = \frac{-1,300,000}{65} [/tex]

[tex] x = 20,000 [/tex]

The car was worth €20,000 before the decrease.

in this problem x equals 10

Step-by-step explanation:

jd

Answer:

13

Step-by-step explanation:

Answer:

it is the 1.2 answer

Step-by-step explanation:

Answer:

3486784401

Step-by-step explanation:

Hi! 9 to the 10th power is written like this: [tex]9^{10}[/tex]. It equals 3,486,784,401. The equation is written like this: 9×9×9×9×9×9×9×9×9×9, NOT 9×10. I hope this helps you! Good luck and have a great day. ❤️

Answer:

7 4/100

Step-by-step explanation:

[tex] \green {\boxed{Answer}}[/tex]

[tex] = 704\%[/tex]

[tex] = \frac{704}{100} [/tex]

[tex] = \frac{704 \div 4}{100 \div 4} [/tex]

[tex] = \frac{176}{25} [/tex]

[tex] = 7 \frac{1}{25} [/tex]

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#ILoveMath

Answer:

The answer is c

Step-by-step explanation:

The slope of the equation is

[tex] \frac{6 - 2}{7 - 9} = \frac{4}{ - 2 } = - 2 [/tex]

Let's take a point on the line (x, y)

[tex] \frac{y - 6}{x - 7} = - 2[/tex]

After solving this you can get

[tex]y - 6 = - 2(x - 7)[/tex]

That is the answer

Answer:

8 feet

Step-by-step explanation:

First, we need to look at the relationship between the elephant and its shadow. The elephant is 9 ft tall and the shadow is 3 ft long, making the elephant 3 times larger than the shadow. Using this information, we can assume that the tree is 3 times larger than its shadow. To find the answer, divide 24 by 3, giving you a final answer of 8 feet long.

24 / 3 = 8

Answer:

slope is 3

Step-by-step explanation:

10,17

7,8

8-17=-9

7-10=-3

-9/-3=3

your son is 24 and you are 28

Step-by-step explanation:

you have to do 52-28

Answer:

i will

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

14-4(a-b)^2

14-4(2-3)^2

14-4(-1)^2

14-4*1

14-4

10

Answer:

18≤n≤38

Step-by-step explanation:

Step-by-step explanation:

-26/7 = -3 5/7

Because that is the smallest

'Hope it would help'

Answer:

0

Step-by-step explanation:

0 is the smallest rational number.

Answer:

1. 15

2. -8/9

3. 5

4. 7

5. a = 20

6. n = 100

7. 3.6 x 10^1

8. 3

9. 4

10. 8.37 x 10^5

11. 6.67 x 10^3

Answer:

∠ A = 66°

Step-by-step explanation:

Supplementary angles sum to 180° thus

∠ A + ∠ B = 180 , substitute values

2x - 14 + 3x - 6 = 180 , that is

5x - 20 = 180 ( add 20 to both sides )

5x = 200 ( divide both sides by 5 )

x = 40

Thus

∠ A = 2x - 14 = 2(40) - 14 = 80 - 14 = 66°

Answer:

12+1.75=13.75 30-13.75 =17.75

Step-by-step explanation:

Answer:

(-1,5)

Step-by-step explanation:

Answer:

3 rows/hour

Step-by-step explanation:

It is given that, Jose takes 120 minutes to weed 6 equal rows of vegetable plants in his garden.

120 minutes = 2 hours

We need to find the unit rate per hour for weeding these rows of his garden. It can be calculated as follows :

[tex]R=\dfrac{6}{2}\\\\R=3\ \text{rows/hour}[/tex]

So, the rate for weeding these rows of his garden is 3 rows per hour.

Answer:

2985968

Step-by-step explanation:

your welcome

Answer:

80

Step-by-step explanation:

12(2*2*2) =96

2*2*4=16

96-16=80