At Henry's yearly physical, he measured 5 feet 8 inches tall. If there are 2.54 centimeters in 1 inch, what is Henry's height in centimeters?

Answers

Answer 1

Answer:

172.72 centimeters

Step-by-step explanation:

1. 5 ft. = 60 in.

2. 60 in. + 8 in. = 68 in.

3. 68 x 2.54 = 172.72

4. add unit of measurement to your answer

Answer 2

Henry's height in centimeters is 172.72 cm

What is unitary method ?

"A process of finding the value of a single unit, and based on this value we can find the required value. "

For given question,

Henry measured 5 feet 8 inches tall.

There are 2.54 centimeters in 1 inch.

that is, 1 inch = 2.54 cm

First we convert Henry's height in inches.

We know that 1 feet =  12 inches

⇒ 5 feet = 60 inches

so, Henry's height in inches would be,

5 feet 8 inches

= (60 + 8) inches

= 68 inches

From given, 1 inch = 2.54 cm

⇒ 68 inches = 172.72 cm

Therefore, Henry's height in centimeters is 172.72 cm

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Related Questions

Simplify (w3)4•(w5)2

Answers

Answer:

\(w^{22}\)

Step-by-step explanation:

\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)

simplify this, please

Answers

Answer:

what is it because I don't see it

Answer:

simplify what?

Step-by-step explanation:

so like simplify this or please or both. if so then... the is this (i guess) and please is pls, (i guess)

Brooklyn is going to invest in an account paying an interest rate of 3.5% compounded continuously. How much would Brooklyn need to invest, to the nearest ten dollars, for the value of the account to reach $64o in 9 years?

Answers

Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.

To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:

A = \(Pe^(^r^t^)\)

where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:

640 = \(Pe^(^0^.^0^3^5^*^9^)\)

640 = Pe^0.315

P =\(640/e^0^.^3^1^5\)

P = 432.43

Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.

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Maths question help pls !!!!!

Maths question help pls !!!!!

Answers

What type of math is this ?

Masha ate 200 scoops of ice cream, and Liz ate 180 scoops of ice cream. What is the ratio of the number of scoops Masha ate to the number Liz ate?

Answers

Answer: I believe I answered this but just in case…the answer is 200 : 180

Hope this helps :)

Step-by-step explanation:

find four consecutive whole numbers whose sum is 74​

Answers

Answer:

17, 18, 19, 20

Explanation:

Let the numbers be x, x + 1, x + 2, x + 3

Their sum is equals to 74

x + x + 1 + x + 2 + x + 3 = 74     (group the variables)

x + x + x + x + 1 + 2 + 3 = 74    (simplify)

4(x) + 6 = 74                             (subtract both sides by 6)

4x = 68                                     (divide both sides by 4)

x = 17

Other numbers:

x + 1 = 17 + 1 = 18

x + 2 = 17 + 2 = 19

x + 3 = 17 + 3 = 20

Answer:

17, 18, 19, 20

Step-by-step explanation:

Let four consecutive whole numbers be x, (x + 1), (x + 2) and (x + 3)

According to the given condition:

x + (x + 1) + (x + 2) + (x + 3) = 74

-> 4x + 6 = 74

-> 4x = 74 - 6

-> 4x = 68

-> x = 68/

-> x = 17

-> x + 1 = 17 + 1 = 18

-> x + 2 = 17 + 2 = 19

-> x + 3 = 17 + 3 = 20

Thus, the four consecutive whole numbers are 17, 18, 19 and 20

3x+4
12. Simplify +
x+2
x²+2x
2x+4

3x+412. Simplify +x+2x+2x2x+4

Answers

Answer:

 \(\dfrac{x^2+8x+8}{2x+4}\\\\\)

Step-by-step explanation:

Simplify:

        \(\dfrac{3x + 4}{x +2}+\dfrac{x^2+2x}{2x+ 4}\)

Multiply the denominator and the numerator of the first term by 2,

                        \(=\dfrac{2*(3x +4)}{2*(x+ 2)}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{2*3x+2*8}{2*x +2*2}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{6x+8}{2x+4}+\dfrac{x^2+2x}{2x+4}\)

                       \(\sf = \dfrac{6x+8+x^2+2x}{2x+4}\\\\\text{\bf Combine like terms,}\\\\=\dfrac{x^2+8x+8}{2x+4}\\\\\)

A bus holds 39 passengers. How many buses will 420 people need​

Answers

Answer:

11 buses

Step-by-step explanation:

Bianca can walk 5/6 of miles 1/3 of an hour. What is her walking speed,in miles per hours?

Answers

Answer:

Step-by-step explanation:

To find Bianca's walking speed, we need to divide the distance she walks by the time it takes her to walk that distance. We can do this by converting both the distance and time to the same unit of measure.

Since 1 hour is equal to 60 minutes, 1/3 of an hour is equal to 1/3 * 60 minutes = 20 minutes. Now that we have the distance in miles and the time in minutes, we can divide the distance by the time to find Bianca's walking speed.

5/6 of a mile is equal to 5/6 * 1 mile = 0.83 miles. So, Bianca's walking speed is 0.83 miles / 20 minutes = 0.0415 miles per minute. To convert this to miles per hour, we can multiply by the conversion factor of 60 minutes per hour. This gives us a walking speed of 0.0415 miles/minute * 60 minutes/hour = 2.49 miles per hour. So, Bianca's walking speed is 2.49 miles per hour.

Kayden walked 18 miles in 6 hours. What was his walking rate in miles per hour?

Answers

Answer:

3

Step-by-step explanation:

If he went 18 miles in 6 hours we can simpliy divide 18 by 6 which is 3 miles per hour

Chelsea played her tuba from 4:25 pm until 5:07

Answers

Answer:

42 minutes

Step-by-step explanation:

if you are asking how long it takes Chelsea to play her tuba then you do:       67 - 25 = 42

Answer:

Step-by-step explanation:

jhngjnh

what is the volume of the cube shown?

Answers

The volume of the cube shown can be found to be 132. 65 inch ³ .

How to find the volume of a cube ?

To ascertain the volume of a cube , knowledge of one edge's length is mandatory . This side would correspond to all other sides; therefore , multiplying it by three inversely gauges its complete space as a cubic structure.

The formula for the volume of a cube is:

= Side x Side x Side

The side is 5. 1 inch so the volume is:

= 5. 1 x 5 .1  x 5. 1

= 132. 65 inch ³

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what is the volume of the cube shown?

In circle E with m DGF = 27, find the mZDEF.

In circle E with m DGF = 27, find the mZDEF.

Answers

Hope this help!!!

Have a nice day!!!

In circle E with m DGF = 27, find the mZDEF.
In circle E with m DGF = 27, find the mZDEF.

Which graph matches the function given:
f(x)=((sqrt)x+5) if x<-2
|x+1| if -2 ≤ x ≤ 2
(x-2)^2 if x>2

Which graph matches the function given:f(x)=((sqrt)x+5) if x&lt;-2 |x+1| if -2 x 2 (x-2)^2 if x&gt;2
Which graph matches the function given:f(x)=((sqrt)x+5) if x&lt;-2 |x+1| if -2 x 2 (x-2)^2 if x&gt;2
Which graph matches the function given:f(x)=((sqrt)x+5) if x&lt;-2 |x+1| if -2 x 2 (x-2)^2 if x&gt;2
Which graph matches the function given:f(x)=((sqrt)x+5) if x&lt;-2 |x+1| if -2 x 2 (x-2)^2 if x&gt;2
Which graph matches the function given:f(x)=((sqrt)x+5) if x&lt;-2 |x+1| if -2 x 2 (x-2)^2 if x&gt;2

Answers

The correct graph that matches the given function is option (C).

What does graphing function rules entail?

To graph a function, select x-values and input them into the equation. Once those values have been put into the equation, you will get a y-value. The x and y values together make up a single point's coordinates.

Option is the appropriate graph for the specified function (C).

For x -2, the function is f(x) = (x+5), which is a half-parabola that starts at (5, 0) and travels through (2, 3) before opening towards the positive y-axis. Both (A) and (B) are incompatible with this aspect of the function.

The function is f(x) = |x+1| for -2 x 2, which is a V-shaped graph with an upward opening and a vertex at (1, 0). This portion of the function is covered by Option (C).

When x is greater than 2, the function is f(x) = (x2)2, which is a parabola with an upward opening and a vertex at (2, 0). This portion of the function is covered by Option (D).

No portion of the function matches option (E).

Thus, option is the appropriate graph that matches the specified function (C).

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Which values complete the table for the function ƒ(x) = 3x – 1?

HELP

Which values complete the table for the function (x) = 3x 1?HELP

Answers

Answer:

5 and 11

Step-by-step explanation:

x =2

fx=3x-1

3(2)-1

6-1

= 5

when x= 4

fx=3x-1

3(4)-1

12-1

11

f(x) =5 and 11

Answer:

5 and 11

Step-by-step explanation:

Input the values of x in the function and solve using basic mathematical operations.

\(f(2)=3(2)-1=6-1=5\\\\\\f(4)=3(4)-1=12-1=11\)

FOR 100 POINTS!!!!!!!!!!!
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:


Likes hamburgers Does not like hamburgers Total
Likes burritos 29 41
Does not like burritos 54 135
Total 110 205

Part A: What percentage of the survey respondents liked neither hamburgers nor burritos? Show all work. (3 points)

Part B: What is the marginal relative frequency of all customers who like hamburgers? Show all work. (3 points)

Part C: Is there an association between liking burritos and liking hamburgers? Use ratios of joint and marginal frequencies to support your answer. (4 points)

Answers

Answer:

Part A:

To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.

Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135

Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54

Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189

Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100

Percentage = (189 / 205) x 100 = 92.2%

Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.

Part B:

To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.

Frequency of "Likes hamburgers" = 110 (given)

Total respondents = 205 (given)

Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents

Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%

Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.

Part C:

To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.

Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)

Marginal frequency of "Likes hamburgers" = 110 (given)

Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)

To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:

Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")

Ratio = 29 / (110 x 70)

Ratio ≈ 0.037 (rounded to three decimal places)

stick of butter weight a quarter of a pound how much do 13 sticks of butter weight

Answers

a stick of butter weighs 1/4 a pound. you do 13x1/4
you get 3 1/4 pounds as a mixed number, 3.25 pounds as a decimal, and 13/4 pounds as a fraction. Hope this helped!

If a variable has a distribution that is​ bell-shaped with mean 16 and standard deviation 6​, then according to the Empirical​ Rule, 99.7​% of the data will lie between which​ values? g

Answers

Answer:

99,7 % of all values will be in the interval ( -2 ; 34)

Step-by-step explanation:

Empirical Rule for the normal distribution with mean X,  implies that the intervals :

X ± σ             will contain  68 % of all values

X ± 2σ           will contain  95 % of all values

X ± 3σ           will contain  99,7 % of all values

Therefore in the interval    X  - 3σ   ;   X + 3σ

X - 3*6    =  X  -18  =  16 - 18 = -2

And

X + 3*6  = X + 18   = 16 + 18 = 34

99,7 % of all values will be in the interval ( -2 ; 34)

An individual is coding 8 new functions to be used in a digital sales document for a company. The individual estimates that most of the functions will take 10 minutes each to create, but the last two functions will take 25 minutes each. How long should it take for the individual to complete all 8 functions

Answers

Answer:

1\(\frac{5}{6}\) hours (110 minutes).

Step-by-step explanation:

The individual want to code 8 new functions of which most of the functions will take 10 minutes each to create, but the last two 25 minutes.

Thus, 6 of the 8 new functions would take 10 minutes, while two will take 25 minutes. So that;

6 x 10 minutes = 60 minutes

But for the last two;

2 x 25 minutes = 50 minutes

Total time required = (60 + 50) minutes

                                = 110 minutes

                                = 1\(\frac{5}{6}\) hours

The estimated time to complete all 8 functions is 1\(\frac{5}{6}\) hours (110 minutes).

When csc(O)sin(0) is simplified, what is the result?

Answers

Answer:

This is not my answer, it was done by another expert in Brainly.

We are given:  

csc (0) * sin (0)  

This is to be simplified using trigonometric identities:  

csc (x) = 1/sin(x)  

so, csc (0) = 1/sin(0)  

then,  

1/sin(0) * sin (0), the result will be sin(0) / sin (0) which is equal to 1.  

Therefore, the answer is 1.

Assumptions: Tax depreciation is straight-line over three years. Pre-tax salvage value is 25 in Year 3 and 50 if the asset is scrapped in Year 2. Tax on salvage value is 40% of the difference between salvage value and book value of the investment. The cost of capital is 20%.

Answers

Based on the given assumptions and calculations, the net present value (NPV) of the investment in the new piece of equipment is -$27,045.76, indicating that the investment is not favorable.

To calculate the after-tax cash flows for each year and evaluate the investment decision, let's use the following information:

Assumptions:

Tax depreciation is straight-line over five years.

Pre-tax salvage value is $10,000 in Year 5 and $15,000 if the asset is scrapped in Year 4.

Tax on salvage value is 30% of the difference between salvage value and book value of the investment.

The cost of capital is 12%.

Given:

Initial investment cost = $50,000

Useful life of the equipment = 5 years

To calculate the depreciation expense each year, we divide the initial investment by the useful life:

Depreciation expense per year = Initial investment / Useful life

Depreciation expense per year = $50,000 / 5 = $10,000

Now, let's calculate the book value at the end of each year:

Year 1:

Book value = Initial investment - Depreciation expense per year

Book value \(= $50,000 - $10,000 = $40,000\)

Year 2:

Book value = Initial investment - (2 \(\times\) Depreciation expense per year)

Book value \(= $50,000 - (2 \times$10,000) = $30,000\)

Year 3:

Book value = Initial investment - (3 \(\times\) Depreciation expense per year)

Book value = $50,000 - (3 \(\times\) $10,000) = $20,000

Year 4:

Book value = Initial investment - (4 \(\times\) Depreciation expense per year)

Book value \(= $50,000 - (4 \times $10,000) = $10,000\)

Year 5:

Book value = Initial investment - (5 \(\times\) Depreciation expense per year)

Book value \(= $50,000 - (5 \times $10,000) = $0\)

Based on the assumptions, the salvage value is $10,000 in Year 5.

If the asset is scrapped in Year 4, the salvage value is $15,000.

To calculate the tax on salvage value, we need to find the difference between the salvage value and the book value and then multiply it by the tax rate:

Tax on salvage value = Tax rate \(\times\) (Salvage value - Book value)

For Year 5:

Tax on salvage value\(= 0.30 \times ($10,000 - $0) = $3,000\)

For Year 4 (if scrapped):

Tax on salvage value\(= 0.30 \times ($15,000 - $10,000) = $1,500\)

Now, let's calculate the after-tax cash flows for each year:

Year 1:

After-tax cash flow = Depreciation expense per year - Tax on salvage value

After-tax cash flow = $10,000 - $0 = $10,000

Year 2:

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $0 - $0 = $0

Year 3:

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $0 - $0 = $0

Year 4 (if scrapped):

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $15,000 - $1,500 = $13,500

Year 5:

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $10,000 - $3,000 = $7,000

Now, let's calculate the net present value (NPV) using the cost of capital of 12%.

We will discount each year's after-tax cash flow to its present value using the formula:

\(PV = CF / (1 + r)^t\)

Where:

PV = Present value

CF = Cash flow

r = Discount rate (cost of capital)

t = Time period (year)

NPV = PV Year 1 + PV Year 2 + PV Year 3 + PV Year 4 + PV Year 5 - Initial investment

Let's calculate the NPV:

PV Year 1 \(= $10,000 / (1 + 0.12)^1 = $8,928.57\)

PV Year 2 \(= $0 / (1 + 0.12)^2 = $0\)

PV Year 3 \(= $0 / (1 + 0.12)^3 = $0\)

PV Year 4 \(= $13,500 / (1 + 0.12)^4 = $9,551.28\)

PV Year 5 \(= $7,000 / (1 + 0.12)^5 = $4,474.39\)

NPV = $8,928.57 + $0 + $0 + $9,551.28 + $4,474.39 - $50,000

NPV = $22,954.24 - $50,000

NPV = -$27,045.76

The NPV is negative, which means that based on the given assumptions and cost of capital, the investment in the new piece of equipment would result in a net loss.

Therefore, the investment may not be favorable.

Please note that the calculations above are based on the given assumptions, and additional factors or considerations specific to the business should also be taken into account when making investment decisions.

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The complete question may be like :

Assumptions: Tax depreciation is straight-line over five years. Pre-tax salvage value is $10,000 in Year 5 and $15,000 if the asset is scrapped in Year 4. Tax on salvage value is 30% of the difference between salvage value and book value of the investment. The cost of capital is 12%.

You are evaluating an investment in a new piece of equipment for your business. The initial investment cost is $50,000. The equipment is expected to have a useful life of five years.

Using the given assumptions, calculate the after-tax cash flows for each year and evaluate the investment decision by calculating the net present value (NPV) using the cost of capital of 12%.

zane bought a pair of jeans that originally cost $56. he used a coupon for 25% off and paid$8 in sales tax

Answers

Answer:

$38.64

Step-by-step explanation:

so the equation needed to solve is $56*0.25 and that number is 14. Since it is a coupon you subtract 14 from 56 and end up with 42. Now multiply 0.08*42 and you got your sales tax, $3.36. now subtract that from 42 and you have your answer

Answer:

He paid 50 dollars

Step-by-step explanation:

25% off = 75/100 x 56 = 42

42 + 8 = 50

if this question is about what percentage the tax is, then the answer would be 19.05%

x/100 x 42 = 50

42x/100 = 50

42x = 5000

x = 5000/42

x = 119.05

119.05 - 100 = 19.05%

For what value of n does (1/36)n=216 ?
Responses

-3
-3/2
3/2
3

Answers

The value of n for the equation (1/36)n= 216 is -1.5.

The following equation is solved by the use of exponent power rule.

The step by step explanation is given below:

convert the fraction into negative exponential form,

(36∧-1)n=216

simplify using the exponent power rule,

(a∧n)∧m = a∧n×m

Covert both sides of the equation in terms with the same base,

(6 ∧2)∧-n = 6 ∧3

Simplify the equation ,

6∧2.-n = 6∧3

Corresponding exponents are equal to ,

-2n = 3

Divide both side of the equation by 2 ,

-n= 3/2

n= - 3/2.

Therefore n = -1.5.

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Simplify.

√45z +√/20z

Assume that the variable represents a positive real number.​

Simplify. 45z +/20z Assume that the variable represents a positive real number.

Answers

Answer:

=55z

Step-by-step explanation:

√45z +√/20z

√3*3*5z + √2*2*5z

= 3√5z+2√5z

=3+2√5z

=5√5z

PLEASE HELP ME RIGHT NOW ASAP

PLEASE HELP ME RIGHT NOW ASAP

Answers

Answer:

Step-by-step explanation:

Let's just say this circle has value x.

x increases by 5%, or 0.05 of x.

x + 0.05x = 1.05x

1.05x now increases by 5% again:

1.05x + 0.05(1.05x) = 1.1025x

The total increase is equal to (1.1025-1)*100 = 10.25%

Hope this helps!

A wood beam is divided into four equal segments. Each segment measures 3.5 feet long. What is the length of the wood beam? I also need a equation to go with it please.

Answers

Answer:

3.5 * 4 = T

T = 14

Step-by-step explanation:

For this question let T stand for the total length of the wood beam. We know that each of the sections is 3.5 feet long and there are 4 sections. One way to solve this would be to add 3.5 together 4 times. However, there is a faster way to do this. Since multiplication is just repeated addition, instead of adding 3.5 together 4 times, we can just multiply 3.5 * 4. This equals 14 feet, which must be the total length of the beam.


How much of the circle is shaded? Write your answer as a fraction in simplest form.

How much of the circle is shaded? Write your answer as a fraction in simplest form.

Answers

Answer:

5/28

Step-by-step explanation:

\( \frac{1}{4} + \frac{4}{7} = \frac{7 + 16}{28} = \frac{23}{28} \\ 1 - \frac{23}{28} = \frac{5}{28} \)

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.22
.

How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 99%
confidence level with an error of at most 0.03
? Round your answer up to the next integer.

Answers

A sample size of 176 tenth graders would be needed in order to estimate the fraction of students with reading skills at or below the eighth grade level at a 99% confidence level having an error of at most 0.03.

To calculate the sample size required for estimating the fraction of tenth graders with reading skills at or below the eighth grade level, we can use the formula for sample size estimation for proportions;

n = (ZZ × p × (1 - p)) / (EE)

where; n = sample size

Z = Z-score corresponding to the desired confidence level (in this case, the Z-score for a 99% confidence level, which is approximately 2.626)

p = estimated population proportion (in this case, 0.22)

E = desired margin of error (in this case, 0.03)

Plugging in the given values;

n = (2.6262.626 × 0.22 × (1 - 0.22)) / (0.030.03)

n = 0.15774 / 0.0009

n ≈ 175.27

Since we need to round up to the next integer, the sample size required would be 176.

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plz help me this is 7th grade math

plz help me this is 7th grade math

Answers

Answer:

second

Step-by-step explanation:

No because angles 1 and 2 are same side interior angles but are not supplementary

if the lines were parallel than the same side interior angles 1 and 2 add to 180

60 +115 = 175 so the lines are not parallel

can you please help me I pay you £50

can you please help me I pay you 50

Answers

(4,-2) (6,-2) (4,1) are co ordinates for the triangle after the movement
Other Questions
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