WILL GIVE find:measure of arcJK =measure of angle JNM =measure of arcKL =

WILL GIVE Find:measure Of ArcJK =measure Of Angle JNM =measure Of ArcKL =

Answers

Answer 1

Given :

The figure of the circle N

As shown:

the measure of the angle JNK = the measure of the angle MNL = 21

Both of the angles are central angles

The measure of the arc = the measure of the central angle opposite to that arc.

Angle JNM and angle JNK are supplementary angles.

So, the measure of the arc JK = 21

The measure of the arc JNM = 180 - 21 = 159

The measure of the arc KL = the measure of the arc JNM = 159

Beacuse of the vertex angles are congruent.


Related Questions

Is 17/34 and 32/64 proportional why or why not?

Answers

Answer:

Yes

Step-by-step explanation:

Both equals to 1/2

That's the answer

Which kind of expression is 400(0.5)t?

Answers

Answer: It is an Exponential Decay

Step-by-step explanation: Look at the 0.5 it is below the value of 1 anything below the value of 1 is most likely an exponential decay

Answer:

It is an Exponential Decay

Step-by-step explanation:

S

Melissa wants to make a table representing the area of her vegetable garden for a variety of different

lengths of the tomato patch. She uses her area expression to create the table.

Complete the table by typing the correct answer in each box. Use numerals instead of words. Do not

round your decimal answers.

n

3

Length of Tomato Patch

(in feet)

Area of Vegetable Garden

(in square feet)

338

18. 38

ng

to

0

in

6. 5

42. 25

12. 13

147. 25

49

7

m

our

Dart B

hall nenners. Since the space

Answers

The appropriate numerical values to fill out Melissa's table using the area of the square are:

(A) 13√2 or 18.384776 ft.

(B) 42.25 square ft.

(C) 12.13466 ft.

(D) 49 square ft.

What is the area?

The area is the total amount of space that an object's shape or a flat (2-D) surface occupies.

Create a square on paper by using a pencil.

Two dimensions make it up.

A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

So, the area of the square:

A = x²

By changing the parameters in the formula, we obtain:

338 = x²

x = √338

x = √2 × √169

x = 13√2 or 18.384776 feet.

Following is row 2:

A = 6.5²

A = 42.25 square feet.

The following is row 3:

147.25 = x²

x = √147.25

x = 12.13466 feet.

Regarding row 4, we have:

A = 7²

A = 49 square feet.

Therefore, the appropriate numerical values to fill out Melissa's table using the area of the square are:

(A) 13√2 or 18.384776 ft.

(B) 42.25 square ft.

(C) 12.13466 ft.

(D) 49 square ft.

Know more about the area here:

https://brainly.com/question/25292087

#SPJ4

Correct question:
Melissa wants to make a table representing the area of her vegetable garden for a variety of different lengths of the tomato patch. she uses her area expression to create the table. complete the table by typing the correct answer in each box. use numerals instead of words. do not round your decimal answers.

If a number is tripled and then subtracted from 15 the result is 5 more than twice the number?

Answers

The number in the word problem is 2

How to find the number

let the number be x

from the question it is deduced that

If a number is tripled and then subtracted from 15 = 15 - 3x

5 more than twice the number = 2x + 5

equating both sides

15 - 3x = 2x + 5

collecting like terms

15 - 5 = 2x + 3x

10 = 5x

x = 2

Learn more about equation here:

brainly.com/question/229008

#SPJ1

I don’t get what I’m supposed to do can someone explain?

I dont get what Im supposed to do can someone explain?

Answers

Answer:

You will have to create a few models about how light and mechanical waves are absorbed and reflected through different substances. Then you will make two brief paragraphs... the first one explaining the similarities and differences of the light waves on the materials, the second will explain why the materials with their specific properties are suited for their specific functions.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

A combination lock uses numbers between 1 and with​ repetition, and they must be selected in the correct sequence. Is the name of​ combination lock​ appropriate? why or why​ not?.

Answers

No, the combination lock is not appropriate. This is so as the repetition is  allowed, neither permutation nor the combination rule holds true or valid.

Learn more, https://brainly.com/question/24288075  

#SPJ4

BRAINLIEST, 5 STARS, THANKS AND 100 POINTS IF ANSWERED BOTH CORRECTLY. --------------------- Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 3, 2, 1, 0, -1 A) y = x + 1 B) y = x - 1 C) y = -x + 1 D) y = -x - 1 --------------------- Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 14, 11, 8, 5, 2 A) y = 3x + 8 B) y = -3x - 8 C) y = 3x - 8 D) y = -3x + 8 -------------------- Thank you if you answered both correctly!

Answers

Answer:

1: C) y = -x + 1

2: D) y = -3x + 8

Step-by-step explanation:

Well number 1,

c is the correct option because,

-2 -> 2

2+1 - 3

This rule applies for all the x values.

2,

X: -2, -1, 0, 1, 2

Y: 14, 11, 8, 5, 2

d is the correct option because -3*-2 is 6 + 8 = 14.

this rule applies for all x values.

Thus,

the answers are C and D.

Hope this helps :)

1. How would you simplify and solve this equation? What steps would you use? *
y - 3(2y - 7) = 76

Answers

Answer:

9 ..... .................

7. A. Write a second equation so that the system will have no solutions. B. Write a second equation so that system
will have infinitely many solutions. 2x - 4y = 22

Answers

A) The second equation is 2x - 4y +20=0, this system has no solutions.

B) The second equation is  x-2y-11=0, this system has infinite number of solutions.

What is meant by an equation?

An equation is a mathematical formula that expresses the equality of two expressions by connecting them with the equals sign =. The term equation and its cognates in various languages may have subtle changes in meaning.

Solving an equation with variables includes determining which variables' values result in equality. The variables for which the equation must be solved are also known as unknowns, and the unknown values that satisfy the equality are known as equation solutions. There are two sorts of equations: identities and conditional equations. An identity holds true for all variable values.

Given equation is,

2x - 4y = 22

A) Let the second equation be

2x - 4y +20=0

∴a₁/a₂=1

b₁/b₂=1

c₁/c₂=-11/10

Therefore, a₁/a₂=b₁/b₂≠c₁/c₂

Hence, the system has no solution.

B) Let the second equation be,

x-2y-11-0

Therefore,  a₁/a₂=b₁/b₂=c₁/c₂=2/1

To know more about equation, visit:

https://brainly.com/question/10413253

#SPJ1

find the average rate of change of the function from x1 to x2 calculator

Answers

To find the average rate of change of a function from x1 to x2, you need to calculate the difference in the function's values at x1 and x2, and divide it by the difference in the x-values. The formula for average rate of change is (f(x2) - f(x1)) / (x2 - x1).



The average rate of change measures the average rate at which a function is changing over a given interval. To calculate it, you subtract the function's values at the starting point (x1) and ending point (x2), and then divide it by the difference in the x-values. This gives you the average rate of change for the interval from x1 to x2.

Example: Let's say we have a function f(x) = 2x + 3. To find the average rate of change from x1 = 1 to x2 = 4, we substitute these values into the formula: (f(4) - f(1)) / (4 - 1). Simplifying, we get (11 - 5) / 3 = 6 / 3 = 2. Therefore, the average rate of change of the function from x1 = 1 to x2 = 4 is 2.

To know more about Function visit.

https://brainly.com/question/30721594

#SPJ11

Solve the system of equations.
5x – 4y = -10
y= 2x- 5
X=
y=

Answers

answer: x=10 and y=15

Suppose a department contains 10 men and 15 women. a) How many ways are there to form a committee of 6 people from the department? Explain your answer. b) How many ways are there to form a committee of 6 people from the department, if the number of men in the committee is equal to the number of females in the committee? Explain your answer. c) How many ways are there to form a committee of 6 people from the department, if the number of men in the committee is less than the number of females in the committee? Explain your answer.

Answers

a) The number of ways to form a committee of 6 people from the department is 177,100.

b) The number of ways to form a committee of 6 people with an equal number of men and women is 54,600.

c) The number of ways to form a committee of 6 people with more women than men is 91,455.

a) To form a committee of 6 people from the department, we can choose 6 individuals from a total of 25 people (10 men + 15 women). The order in which the committee members are chosen does not matter, and we are not concerned with any specific positions within the committee. Therefore, we can use the concept of combinations.

The number of ways to choose 6 people from a group of 25 is given by the combination formula:

C(25, 6) = 25! / (6! * (25 - 6)!) = 25! / (6! * 19!) = 177,100

Therefore, there are 177,100 ways to form a committee of 6 people from the department.

b) In this case, we need to choose an equal number of men and women for the committee. We can select 3 men from the available 10 men and 3 women from the available 15 women. Again, the order of selection does not matter.

The number of ways to choose 3 men from 10 is given by the combination formula:

C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 120

Similarly, the number of ways to choose 3 women from 15 is:

C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = 455

To find the total number of ways to form a committee with an equal number of men and women, we multiply these two combinations:

Total = C(10, 3) * C(15, 3) = 120 * 455 = 54,600

Therefore, there are 54,600 ways to form a committee of 6 people with an equal number of men and women.

c) In this case, we need to form a committee with more women than men. We can choose 1 or 2 men from the 10 available men and select the remaining 6 - (1 or 2) = 5 or 4 women from the 15 available women.

For 1 man and 5 women:

Number of ways to choose 1 man from 10: C(10, 1) = 10

Number of ways to choose 5 women from 15: C(15, 5) = 3,003

For 2 men and 4 women:

Number of ways to choose 2 men from 10: C(10, 2) = 45

Number of ways to choose 4 women from 15: C(15, 4) = 1,365

The total number of ways to form a committee with more women than men is the sum of these two cases:

Total = (Number of ways for 1 man and 5 women) + (Number of ways for 2 men and 4 women)

     = 10 * 3,003 + 45 * 1,365

     = 30,030 + 61,425

     = 91,455

Therefore, there are 91,455 ways to form a committee of 6 people with more women than men.

To know more about number of ways, refer here:

https://brainly.com/question/30649502

#SPJ4

A clay specimen, 25 mm thick, has been tested in an oedometer apparatus with two way rainage, and it is observed that 50% of the consolidation settlement occurs in 1 hour. A ayer of the same clay is observed to settle 10 mm in 10 years and after many years to settle (total primary consolidation) by 35 mm. Determine the thickness of the clay layer if it drains only from upper surface

Answers

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

To learn more about thickness click here: brainly.com/question/23622259

#SPJ11

Explain why multiplying a fraction by 5/6 results in a value that is less than the original fraction

Answers

Answer:

Step-by-step explanation:

(5/6) itself is less than 1 (but greater than 0).  Thus, anything multiplied by (5/6) will result in a smaller-by-magnitude quantity.

For example, (5/6)(3/4) is LESS than 3/4 because 5/6 is greater than zero but less than 1.

The fraction 5/6 is less than one anything multiplied to this number will be less than 1.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the fraction is 5/6.

5/6 is less than 1 on its own (but greater than 0). Anything multiplied by (5/6) will provide a magnitude-less result. Because 5/6 is more than 0 but less than 1, it can be shown that (5/6)(3/4) is less than 3/4.

Therefore, the fraction 5/6 is less than one anything multiplied to this number will be less than 1.

To know more about an expression follow

https://brainly.com/question/28699958

#SPJ5

John, Glenn, and Brian often eat out together.1. Each person orders either coffee or tea.2. If John orders coffee then Glenn orders the drink that Brian orders.3. If Glenn orders coffee, John orders the drink that Brian doesn't order.4. If Brian orders tea then John orders the drink that Glenn orders.Based on the information which person orders the same drink every time.

Answers

Glenn orders the same drink every time. This can be answered by the Simple intelligence.

The logic behind this conclusion is as follows:

John orders coffee: In this case, Glenn must order the same drink as Brian. According to statement 2, if John orders coffee, Glenn orders the drink that Brian orders. Therefore, Glenn's drink choice is dependent on Brian's choice and not consistent.Glenn orders coffee: In this case, John must order the opposite drink as Brian. According to statement 3, if Glenn orders coffee, John orders the drink that Brian doesn't order. Therefore, John's drink choice is also dependent on Brian's choice and not consistent.

Brian orders tea: In this case, John must order the same drink as Glenn. According to statement 4, if Brian orders tea, John orders the drink that Glenn orders. However, Glenn's choice is not dependent on Brian's choice, so Glenn will always order the same drink. Therefore, Glenn is the only person who orders the same drink every time.

Therefore, Glenn orders the same drink every time.

To learn more about Simple intelligence here:

brainly.com/question/9691088#

#SPJ11

Please help me its due today

Please help me its due today

Answers

Please help me its due today

A family of 10 purchased tickets to the county fair. Tickets for adults cost $6 and tickets for children cost $3. If the total cost of the tickets was $42, how many family members were adults and children?

Answers

The family members were 3 adults and 2 children.

We have given that the,

A family of 10 purchased tickets to the county fair.

Tickets for adults cost $6 and tickets for children cost $3

Total cost is $42.

We have to determine how many family members were adults and children

What is the next step from the given condition?

(3 x 10) + (2 x 6)

30+12=42

Therefore we get 3 adults and 2 children.

To learn more about the purchesed cost visit:

https://brainly.com/question/5168855

phân tích đa thức x^3 - x thành phân tử

Answers

Answer:

1

Step-by-step explanation:

Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height.

Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height.

Answers

The volumes of the cylinder are 565. 56 cubic inches and  1131. 12 cubic inches respectively.

How to determine the volume

The formula for volume of a cylinder is expressed as;

Volume = πr²h

Where;

r is the radius = 6 Inh is the height = 5 In

Substitute the values

Volume = 3. 142 × 6² × 5

Volume = 3. 142 × 36 × 5

Volume = 565. 56 cubic inches

If the height is doubled, h = 2 × 5 = 10

Substitute the values

Volume = 3. 142 × 6² × 10

Volume = 3. 142 × 36 × 10

Volume = 1131. 12 cubic inches

Thus, the volumes of the cylinder are 565. 56 cubic inches and  1131. 12 cubic inches respectively.

Learn more about volume here:

https://brainly.com/question/1972490

#SPJ1

In how many ways can one write the numbers 1, 2, 3, 4, 5, and 6 in a row so that given any number in the row, all of its divisors (not including itself) appear to its left

Answers

Answer:  25 ways.

Step-by-step explanation:

first we have  1,2,6. this can appear once.

4, can appear in twice.

3 can appear in-between 2 and 6, this means 3 can appear 3times before 6.5 would appear 5 times.after 6 3 can appear 2 more times.

\(= (3+2) * 5\\= 5*5\\= 25ways\)

by not including itself, an appearing on the left side. one number can be written 25ways

Pythagorean Theoarem:

Answers

The pythagorean theorem is expressed as

hypotenuse^2 = one leg^2 + other leg^2

From the diagram,

hypotenuse = x

one leg = 40

other leg = 9

Thus, we have

\(\begin{gathered} x^2=40^2+9^2 \\ x^2\text{ = 1600 + 81 = 1681} \\ x\text{ = }\sqrt[]{1681} \\ x\text{ = 41} \end{gathered}\)

The correct option is B

What kind of slope is this please help!

What kind of slope is this please help!

Answers

Type: Positive

Answer: y = 3/2x + 4

Formula: Rise | up = positive | down = negative

------

Run | right = positive | left = negative

Make sure to find 2 perfect points

aight i dont know what I did, but did it helped?

Find the inverse of f(x)=7.50x

Answers

there is no inverse though

Jade has four slices of chocolate cake.
She gives a slice to Josh, Malaysia, and Jacob.
What fraction of the cake did Jade give away?

Jade has four slices of chocolate cake.She gives a slice to Josh, Malaysia, and Jacob.What fraction of

Answers

Jade give away 3/4 fraction of the cake.

Please, i need help on how to solve problems like these. I dont understand and i wasnt in class when they taught it to us. PLzzzz.Will make it the brainiest if its corrected and explaining how to solve problems like these.

Please, i need help on how to solve problems like these. I dont understand and i wasnt in class when

Answers

Answer:

x = 20

Step-by-step explanation:

You can use Pythagorean theorem which is \(a^2 + b^2 = c^2\)

a = 12

b = 16

and c would be x.

12^2 + 16^2 = c^2

144 + 256 = c^2

400 = c^2

square root

c = 20 or x = 20

Tabitha's grandmother lives 5 miles from Tabitha's house. How many kilometers does
Tabitha's grandmother live from Tabitha's house? Use a ratio to find the solution. (Use 1 mile =
1.61 kilometers)
PLEASE NO LINK

Answers

Ok, just do 1.61 times 5

There are 37 empty seats and 13 occupied seats on a train. What percentage of the seats on the train are empty?

Answers

Answer:

92.5%

Step-by-step explanation:

If 2 of the triangle sides are 8 m and one side is 6 m what kind of triangle is it

Answers

Answer:

An isosceles triangle has two side lengths the same and one different.

Step-by-step explanation:

Evaluate the function rule for the given value. y = 15 · 3x for x = –3

Answers

Evaluating the function rule y = 15. \(3^x\) for x = -3 yields a value of 5/9. To evaluate the function rule y = 15 · \(3^x\) for x = -3, we substitute x with -3 in the expression.

Let's break down the calculation step by step.

Substituting x = -3 into the function:

y = 15 · \(3 ^(-3)\)

Now, we need to calculate the value of \(3^(-3)\). A negative exponent indicates that the base should be reciprocated. Therefore, \(3^(-3)\) is equivalent to 1/(3^3).

Simplifying further:

y = 15 · \(1/(3^3)\)

= 15 · \(1/(3 \times 3 \times3)\)

= 15 · 1/27

= 15/27

The fraction 15/27 can be simplified by finding a common factor between the numerator and denominator. Both 15 and 27 can be divided by 3:

y = (15/3) / (27/3)

= 5/9

Therefore, when x = -3, the value of y is 5/9.

For more such questions on function

https://brainly.com/question/11624077

#SPJ8

Determine an interest rate less than 15%, a period of investment greater than two years, and a regular payment that will result in the total amount of interest you earn being equal to the total amount of money you put in?for example, under what conditions will you have a future value of $1 000 000, having earned $500 000 interest?)

Answers

Answer:

  It will take 5.29 years to double our money if we invest $500 at 14 percent interest.                                    

Step-by-step explanation:

Let we invest $500 with the interest rate of  14% ,

Now we will find the time it is going to take to double the money

here, we use the formula of compound interest \(A= P( 1+\frac{r}{n}) ^{nt}\)

Here, A = the amount yielded,

P = principal,

r = interest rate ,

n = number of times per year,

and t =  time invested.

Now, put A= 1000 , P= 500 , R= 0.14   T= x and N= 1

      \(1000=500(1+ 0.14)^x\)      

      \(1000=500(1.14)^x\)

       \(2=1.14^x\)

     \(\log_{1.14} (2)=x\)

      \(x=5.29\)

so ,  It will take 5.29 years to double our money if we invest $500 at 14 percent interest.    

Hence , the answer is 5.29 years .                  

Other Questions
Help meh pls ;---; dhuiwkjmsxz if it is impracticable to measure the period-specific effects of a change in accounting principle, what approach is used? The larger the positive cross elasticity coefficient of demand between products X and Y, the:A. Stronger their complimentariness.B. Greater their substitutability.C. Smaller the price elasticity of demand for both products.D. The less sensitive purchases of each are to increases in income. The anticoagulant in a gray-stoppered blood collection tube is: 7If 8(x - 2y) = 16x, then what is x in terms of y? Melanie and Brody want to find out whether wooden bats or metal bats allow baseballs to travel farther. Melanie asks five different people to hit ten balls with each type of bat and she measures the distance each ball travels. Brody researches the physical properties of the pine wood and the aluminum metal and then estimates the possible distance a ball could travel with a given force.Which student conducted an experiment and which student conducted an investigation? Explain your answer. Paxton wrote this conclusion to an opinion piece.In conclusion, Hiking and Biking was a great book because it has lots of information.How could Paxton improve his conclusion? A. Restate his topic. B. Give reasons for his opinion. C. Add one more sentence to convince his readers. D. Use linking words or phrases to connect his ideas. There are several courses available to train, teach, and prepare students for their field of choice; none of which are directed towards Mental Health awareness, which should be included in every school's curriculum. fix this thesis statement for me please Hey I really need help. How do I make a histogram with this information??APPLY YOUR KNOWLEDGE 1. 6 The Changing Fate of America. In 1980, approximately 20% of adults aged 1834 were considered minorities, reporting their ethnicity as other than non- Hispanic white. By the end of 2013, that percentage had more than doubled. How are minorities between the ages of 18 and 34 distributed in the United States? In the country as a whole, 42. 8% of adults aged 1834 are considered minorities, but the states vary from 8% in Maine and Vermont to 75% in Hawaii. Table 1. 2 presents the data for all 50 states and the District of Columbia. Make a histogram of the percents using classes of width 10% starting at 0%. That is, the first bar covers 0% to < 10%, the second covers 10% to < 20%, and so on. (Make this histogram by hand, even if you have software, to be sure you understand the process. You may then want to compare your histogram with your software's choice. ) A market is competitive if(i)firms have the flexibility to price their own product.(ii)each buyer is small compared to the market.(iii)each seller is small compared to the market. what biochemical technique confirmed that rna polymerase binds to dna at -10 and -35 boxes? what biochemical technique confirmed that rna polymerase binds to dna at -10 and -35 boxes? sothern blot technique fluorescence in situ hybridization dna footprinting chromatin immunoprecipitation 5, 6, 10A. Determine whether the side lengths form a triangle. (explain your reasoning)B. If it is a triangle, determine whether it is a right, acute, or obtuse triangle. (show your work) what is a temporary postponement or reduction of payments when you are experiencing financial difficulty called? According to the information presented in the lesson, some middle school students see the value of homework but believe that __________. A.it is more valuable for elementary school students B.parents should be more involved in helping them complete their work C.it should only involve multiple choice worksheets D.teachers should work together to make sure students do not receive an excessive amount An internal auditor who encounters an ethical dilemma not explicitly addressed by The IIA 's Code of Ethics should always : Question 9 of 10Fill in the blank in the following sentence with the appropriate object pronounbelow.Merci! Contactez-quand la voiture est rpare.A. moiOB. toiC. vousD. lesSUBMIT BOOK -Name: string -Author(s): string -Publisher: string -ISBN number: string -Price: price -Year of publication: int +info.SetName() +info.SetPubAndIsbn() +info.SetPriceAndYear() 30 points Help please BRAINLIEST IF CORRECT I WILL DO A GIVE AWAY IF YOU HELP MEWhich of the Balkan groups worked with the Nazis during World War II?A.MacedoniansB.BosniansC.SerbiansD.Croatians what dose the Privileges and Immunities Clause do Describe one way Eisenhower's administration connected with the legacy of Roosevelt's New Deal?