Find the lengths of segments AD and BD. Then check your answers using a different method.

Find The Lengths Of Segments AD And BD. Then Check Your Answers Using A Different Method.

Answers

Answer 1

Answer:  BD = 5

Step-by-step explanation:

Using the Pythagorean theorem [tex]a^{2} + b^{2} =c^{2}[/tex] where c is the hypotenuse, we can solve for BD

[tex]a^{2} +12^{2} =13^{2}[/tex]

[tex]a^{2} =13^{2}-12^{2}[/tex]

[tex]a = \sqrt{25}[/tex]

[tex]a = 5[/tex]

Therefore BD = 5


Related Questions

what is the slope if the line that passes through the points (10,8) and (7,14)? write your answer in simplest form

Answers

Answer:

-2

Step-by-step explanation:

we use the y2-y1/x2-x1 fomrula to find slope

14-8/7-10

6/-3

-2 is the slope

hopes this helps

14. Between a pair of points on the line y = 5x-2, suppose that the rise is 15.
Then the run is...
(A) 3
(B) 4
(C) 5
(D) 10

Answers

Answer:

Below

Step-by-step explanation:

m = slope = rise / run

m = 5 for this equation

rise /run = 5

15 / run = 5

run = 3

Find the sum of 5.21 × 1019 and 3.149 × 1017.

A. 8.359 × 1019
b. 5.24149 × 1019
c. 5.24149 × 1036
d. 8.359 × 1036

Answers

Answer:

B

Step-by-step explanation:

5.21 x 10^19 + 3.149 x 10^17

10^17(5.21 x 10^2 + 3.149)

10^17(521 + 3.149)

10^17(524.149)

5.24149 x 10^17 x 10^2

5.24149 x 10^(17+2)

5.24149 x 10^19

Answer: b. 5.24149 × 1019

Step-by-step explanation: I took the test

PLEASE HELP URGENT WITH 4 AND 6

Answers

The solution is

a) The compound interest for the second period is $ 2.01 and the amount after the second period is $ 404.01

b) The compound interest for the first period is $ 114.125 and the amount is $ 18,374.125

The compound interest for the second period is $ 114.83828125 and the amount after second period is $ 18,488.96

What is Compound Interest?

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

a)

Let the principal be P = amount after first period =  $ 402

Now , the rate of interest r = 6 %

The compound interest is calculated by compounding monthly

Now , the interest for the second period = ( PRT / 100 x 12 )

Substituting the values in the equation , we get

The interest for the second period = ( 402 x 6 x 1 ) / 1200

The interest for the second period = $ 2.01

The amount after the second period = amount after first period +  interest for the second period

The amount after the second period = 402 + 2.01

The amount after the second period = $ 404.01

b)

Let the principal be P = $ 18260

The rate of interest r = 2.5 %

The compound interest is calculated by compounding quarterly

Now , the interest for the first period = ( PRT / 4 x 100 )

Substituting the values in the equation , we get

The interest for the first period = ( 18260 x 2.5 ) / 400

The interest for the first period = 45650 / 400

The interest for the first period = $ 114.125

The amount for the first period = 18260 + 114.125

The amount for the first period = $ 18,374.125

Now , the principal for the second period = interest + amount of first period

The principal for the second period = $ 18,374.125

The rate of interest = 2.5 %

The interest for the second period = ( PRT / 4 x 100 )

Substituting the values in the equation , we get

The interest for the second period = ( 18374.125 x 2.5 ) / 400

The interest for the second period = 45935.3125 / 400

The interest for the second period = $ 114.83828125

The amount for the second period = 18,374.125+ 114.84

The amount for the second period = $ 18,488.96

Hence , the amount and interest is calculated

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complete this working to write 9³ as a power of 3

9³=9x9x9

so 9³= 3x3x3x ____

so 9³=3^y where y=____

Answers

Answer: y=6

Step-by-step explanation:

Using composition of functions, determine if the two functions are inverses of each other. , x ≥ 0 , x ≥ 2 A. No, because the functions contain different operations. B. No, because the composition does not result in an answer of x. C. Yes, because F(x) is equal to –G(x). D. Yes, because the composition results in an answer of x for x ≥ 2.

Answers

The correct option regarding whether the two functions are inverse functions is given as follows:

B. No, because the composition does not result in an answer of x.

How to verify if the two functions are inverses of each other?

Two functions are inverses of each other if the composition of these two function has a result of x.

From the image given at the end of the answer, the two functions in this problem are defined as follows:

[tex]F(x) = \sqrt{x} + 4, x \geq 0[/tex]G(x) = x² - 4, x ≥ 2.

Their composition is given as follows:

[tex](G \circ F)(x) = G(\sqrt{x} + 4)[/tex]

[tex](G \circ F)(x) = (\sqrt{x} + 4)^2 - 4[/tex]

[tex](G \circ F)(x) = x + 8\sqrt{x} + 16 - 4[/tex]

[tex](G \circ F)(x) = x + 8\sqrt{x} + 12[/tex]


The composition does not result in x, hence the two functions are not inverses and the correct statement is given by statement B.

Missing Information

The problem is given by the image shown at the end of the answer.

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what is the answer to this question?



−6⁢(⁠4y + 4y + (−4)⁠)

Answers

Answer:

-48y+24

Step-by-step explanation:

−6⁢(⁠4y + 4y + (−4)⁠)

=-6(8y+-4)

=-48y+24

Answer:

-48y + 24

Step-by-step explanation:

−6⁢(⁠4y + 4y + (−4)⁠) =

= −6⁢(⁠8y - 4)

= -48y + 24

If using the method of completing the square to solve the quadratic equation x 2 + 2 x + 16 = 0

Answers

Answer:

Step-by-step explanation:

[tex]x^{2} +2x+16=0\\x^{2} +2x+1-1+16=0\\(x^{2} +2x+1)-1+16=0\\(x+1)^{2} +15=0\\(x+1)^{2}=-15[/tex]

The solution does not exist because all numbers squared are greater than zero.

the interior angles of a regular polygon each measures 165 degrees. how many sides does the polygon have

Answers

Here is an easy way to solve the problem:

1) The interior and the exterior angles
make a linear pair: add up to make 180°.

180° - 165° = 15° measure of one ext. angle

2) the sum of the exterior angles of any convex polygon is 360°

360° ÷ 15° = 24 exterior angles

3) the number of exterior angles = the number of interior angles = the number of sides in any convex polygon

4) Therefor there are 24 sides in this regular polygon

rotation 90 degrees counterclockwise about the origin

Answers

As per the sign system of the Cartesian plane coordinates of A' will be (x,-y).

What is the cartesian plane?

The cartesian plane is defined in mathematics as a two-dimensional coordinate plane formed by the intersection of the x- and y-axes. The origin is the point where the x- and y-axes intersect perpendicularly.

What are the quadrants?

Quadrant one (QI) is the top right fourth of the coordinate plane, where all coordinates are positive. Quadrant two (QII) is the coordinate plane's top left fourth. Quadrant three (QIII) is the fourth from the bottom left. Quadrant four (QIV) is the fourth from the bottom right.

Given:

The direction of rotation = clockwise, (from the first quadrant to forth quadrant then third quadrant, and so on)

Angle of rotation = 90° about the origin

According to the question, let's take our start point as A(x, y)

So, A( x, y) will lie in the first quadrant.

After 90° rotation about the origin A' will lies in fourth quadrant.

As per the sign system of the Cartesian plane coordinates of A' will be (x,-y).

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Question 2
What is the length of the line segment with endpoints P(2, 1,-4) and Q(-1,5,3)?

Answers

The length of the line segment with endpoints P(2, 1, -4) and Q(-1, 5, 3) is 8.60 units

How to find the length of a line segment?

To find the length of a line segment with endpoints P(x1, y1, z1) and Q(x2, y2, z2) in three-dimensional space, we can use the distance formula:

length = √((x2 - x1)² + (y2 - y1)² + (z2 - z1)²)

Substituting the coordinates of P and Q into the formula, we get:

length = √((-1 - 2))²  + (5 - 1))²  + (3 - (-4)))² )

          = √((-3))²  + (4))²  + (7))² )

         = √(9 + 16 + 49)

         = √(74)

        = 8.60 units

Therefore, the length of the line segment is 8.60 units

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how many ways can a group of 7 adults and 4 children stand in a line if no two children are allowed to stand next to each other?

Answers

We can arrange the group in 120960 different ways.

Given,

Number of adults = 7

Number of children = 4

We have to find the number of ways they can stand when no two children are allowed to stand together;

Here,

Arrange 7 adults in a row of 7 ; 7

Number of arrangements = 7! = 5040

Consider that there are four possible placements for a child, but only one youngster can be placed in each of them: on either side of the row of adults, or in between two adults.

Consequently, pick one place for each youngster from the possibilities below: 4 for the first adult, 3 for the second,... the final adult's two options are = 4 × 3 × 2 = 24 arrangements

Add the two groupings together =  5040 × 24 = 120960

Therefore,

There is 120960 ways to arrange the standing position of the group.

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Alonso went to the market with \$55$55dollar sign, 55 to buy eggs and sugar. He knows he needs a package of 121212 eggs that costs \$2.75$2.75dollar sign, 2, point, 75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money. The sugar he likes comes in boxes that each cost \$11.50$11.50dollar sign, 11, point, 50

Answers

The number of boxes of sugar that Alonso can buy are 4.5 boxes.

What is a mathematical function, equation and expression?                function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that Alonso went to the market with $55 to buy eggs and sugar. He knows he needs a package of 12 eggs that costs $2.75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money.

The money remaining after buying 12 eggs : {r} = $(55 -2.75).

Cost of one box of sugar = $11.5

The number of boxes that he can buy are -

n = (55 - 2.75)/11.5

n = 4.5 boxes {approx.}

Therefore, the number of boxes of sugar that Alonso can buy are 4.5 boxes.

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browns are expected to win with probability of 60% against their opponent, while steelers are also expected to win with probability of 40% against their opponent. the outcome of each game can be either a win or a loss (i.e., no ties). if you bet $10 on one of these two teams to win and another one to lose, no matter which one wins or loses, i.e., your bet is that only one team (browns or steelers) wins, what net payout will you be promised in a fair betting game in case your bet works out?

Answers

Net payout will you be promised in a fair betting game in case your bet works out is $0 .

Given :

browns are expected to win with probability of 60% against their opponent, while steelers are also expected to win with probability of 40% against their opponent. the outcome of each game can be either a win or a loss (i.e., no ties). if you bet $10 on one of these two teams to win and another one to lose, no matter which one wins or loses, i.e., your bet is that only one team (browns or steelers) wins .

P ( browns ) = 60 / 100 = 0.60

P ( steelers ) = 40 / 100 = 0.40

Net payout = Number of wins * 10 - Number of loses * 10

= 1 * 10 - 1 * 10

= 10  - 10

= $0.

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Which of the following expressions are equivalent to 16/24? Select all that apply.

Answers

After evaluation, we can conclude that the expression (E) 8/2 * 2/12 is equivalent to the given expresion 16/24.

What are expressions?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

It's possible to multiply, divide, add, or subtract with this mathematical operation.

You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression.

So, we have the expression:

16/24

We need to find the equivalent expression from the options as follows:

So, let's take option (E) as it seems the answer and evaluation is:

8/2 * 2/12 (Be LHS)

Now, multiply:

8/2 * 2/12 = 16/24

16/24 = 16/24

Therefore, after evaluation, we can conclude that the expression (E) 8/2 * 2/12 is equivalent to the given expression 16/24.

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What is the quotient of 535 ÷ 30? Enter your answer in the boxes.

Answers

Answer is 17.8333…

Step by step

Quotient is division
535 ÷ 30 = 17.83333…..(line over the 3 as it continues indefinitely)

I also did long division attached

49: 1 of 1 question 2 with 1 blank 97: 1 of 1 question 3 with 1 blank 113: 1 of 1 question 4 with 1 blank 632: 1 of 1 question 5 with 1 blank 1.781: 1 of 1 question 6 with 1 blank 3.558: 1 of 1 question 7 with 1 blank 1.006.015: 1 of 1 question 8 with 1 blank 67.224.370: 1 of 1 3

Answers

Spanish is a Romance language of the Indo-European language family that emerged from the Iberian peninsula's colloquial Latin. It is now a worldwide language with around 500 million native speakers, primarily in the Americas and Spain. Twenty nations have Spanish as their official language.

These numbers in Spanish are:

1. 49: cuarenta y nueve

2. 97: noventa y siete

3. 113: ciento trece

4. 632: seiscientos treinta y dos

5. 1.781: mil setecientos ochenta y uno

6. 3.558: tres mil quinientos cincuenta y ocho

7. 1.006.015: un millon seis mil quince

8. 67.224.370: sesenta y siete millones doscientos veinte y cuatro mil trescientos setenta

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Answer:

49: cuarenta y nueve

2. 97: noventa y siete

3. 113: ciento trece

4. 632: seiscientos treinta y dos

5. 1.781: mil setecientos ochenta y uno

6. 3.558: tres mil quinientos cincuenta y ocho

7. 1.006.015: un millon seis mil quince

8. 67.224.370: sesenta y siete millones doscientos veinte y cuatro mil trescientos setenta

Step-by-step explanation:

What is 213 divided? Also how do you break 23 into tens and ones?

Answers

Answer:

What is 213 divided? 2 I think

Also how do you break 23 into tens and ones? It would be 2 tens and then it would be 3 ones

If EF = 71, FD = 80, ED = 74, IG = 40, and HG = 37, find the perimeter
of AGHI. Round your answer to the nearest tenth if necessary.

Answers

The perimeter of the object is the sum of the lengths of all the sides

which is 302 units.

What is the perimeter?

Perimeter is the sum of the lengths of all the sides of a planar two-dimensional figure.

In the case of a circle, we call it perimeter circumference it is the distance around the circle.

Given, A figure has side lengths EF = 71, FD = 80, ED = 74, IG = 40, and

HG = 37.

Now the perimeter of this figure is the sum of the lengths of all the sides which is,

= (EF + FD + ED + IG + HG).

= (71 + 80 + 74 + 40 + 37).

= 302 units.

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what is the value of 18 to the third power

Answers

Answer:

5832

Step-by-step explanation:

17. Select the correct inequality and graph for the statement.
The highest temperature possible today is 95 °F.

Answers

The correct inequality for the statement - highest temperature possible today is 95 °F

x ≤ 95 °F

How to identify the correct statement

The statement saying the highest temperature possible today is 95 °F is represented by

knowing that the temperature will never be greater than 95 °F, hence the temperature values is from 95 °F and downwards

assuming x represents the measles of the temperatures then

x is less than or equal to 95 °F means x can be any value but never greater than 95 °F

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4. 8 friends are lining up to get in to see the Hunger Games: Catching Fire movie,
including Bob and Sam

A) What is the probability that Bob and Sam will be next to each other.

Answers

Answer:

1/64

Step-by-step explanation:

1/8 x 1/8 = 1/64

will mark brainliest pls
-photo is attached ! :)


The figures are similar, and the ratio of the perimeters is 2: 5. Find x.

Answers

Answer: x=3.2

Ste by Step

We have that for the Question "The figures are similar, and the ratio of the perimeters is 2 : 5. Find x." it can be said that  the perimeters of x is

x=3.2

From the question we are told

The figures are similar, and the ratio of the perimeters is 2 : 5. Find x.

Generally the equation for the the ratio is mathematically given as

2=x

and

5=8

Therefore

x=3.2

Therefore

the perimeters of x is

x=3.2

If using the method of completing the square to solve the quadratic equation x 2 + x + 9 = 0, which number would have to be added to "complete the square"?

Answers

Answer:

Below

Step-by-step explanation:

To complete the square, the coefficient of x^2 must be 1  ( it is already)

   then take 1/2 of the x coefficient  .... 1/2.... square it and add it to both sides of the equation

   x^2 + x + 1/4   + 9   = 1/4

 then you can reduce this to

   ( x+ 1/2)^2  + 9 = 1/4   for further 'solving'

Lindsey's Cafe uses 5 bags of coffee every day. How many days will 1/2 of a bag of coffee last?

Answers

When she uses 5 bags of coffee every day at her café, half of a bag of coffee lasts for 10 days.

What is division?

Multiplication is the inverse of division. If 3 groups of 4 add up to 12, 12 split into 3 equal groups adds up to 4 in each group in division. The basic purpose of splitting is to determine how many equal groups develop or how many people are in each group when distributing equally. Division is a basic operation that divides an integer. It's best to imagine of it as a group of things being distributed among a group of individuals, as in the preceding example.

Here,

number of bags needed in a day=5

number of days 1/2 bag last,

=5÷1/2

=10 days

Half of bag of coffee last for 10 days when she uses 5 bags of coffee every day in her café.

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Rewrite 3x + 15 as the product of two factors

Answers

Answer:

Below

Step-by-step explanation:

3x+15      <==== factor out '3'

3 * ( x+5)       done !

It should be 3 * (x+5) because when multiplied, it makes 3x+15z

A manager of a self-service car wash charges a flat fee in addition to a fee per minute, x, for use of the services. The expression 5+0.75x models the scenario.

Which statement is true?

Responses

The coefficient 5 represents a cost of $5 per minute for use of the services, while the term 0.75x represents the flat fee of $0.75.

The coefficient 5 represents the flat fee of $5, while the term 0.75x represents a cost of $0.75 per minute for use of the services for x minutes.

The constant 5 represents a cost of $5 per minute for use of the services, while the term 0.75x represents the flat fee of $0.75.

The constant 5 represents the flat fee of $5, while the term 0.75x represents a cost of $0.75 per minute for use of the services for x minutes.

Answers

The constant 5 represents the flat fee of $5, while the term 0.75x represents a cost of $0.75 per minute for use of the services for x minutes. Therefore, option D is the correct answer.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is 5+0.75x.

In the given expression, 5 is constant term and 0.75x is another term.

In the term 0.75x, 0.75 is the coefficient of x

In the expression 5+0.75x, 5 is fixed price and 0.75 is price for second or minute or hour or year and x can be number seconds or minutes or hours or years.

Therefore, option D is the correct answer.

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Number 49. Please help Graphing inequalities? Why is the answer A? Please do a step by step explanation for each answer choice.

Answers

I don't see the picture. Can you send it in the message.

5. Which of the following is an arithmetic
sequence?
A
B
C
D
-2, -5, -8, -11, -14, -17, ...
0,5, 0, 10, 0, 15, ...
2, 4, 8, 16, 32, ...
5, 11, 17, 23, 29, 36, ...

Answers

Answer:

A. -2, -5, -8, -11, -14, -17, ...

Step-by-step explanation:

The difference between consecutive terms is constant.

The probability of winning a certain game is 0. 5. If at least 70 percent of the games in a series of n games are won, the player wins a prize. If the possible choices for n are n=10, n=20, and n=100, which value of n should the player choose in order to maximize the probability of winning a prize?.

Answers

0.117 Or 11.7% chance of n should the player choose in order to maximize the probability of winning a prize.

What is the binomial theorem on probability?

The probability of precisely x successes on n further trials in an experiment with two potential outcomes is referred to as the binomial probability (commonly called a binomial experiment).

When a procedure is performed a certain number of times (for example, in a group of patients), the result for each patient can either be a success or a failure, the binomial distribution model enables us to calculate the probability of witnessing a defined number of "successes."

The probability of winning a prize remains the same for. n = 10 or n=20 or n = 100; the probabilities are the same.

Given that,

p = 0.5, So, q = 1 - 0.5 = 0.5.

If 70% of 'n' games are won then 30% of n games must be lost.

Let n = 10.

Therefore, P ( x = 3) = [tex]^{10}C_3p^7q^3[/tex]

or, P ( x = 3) = [tex]^{10}C_3(0.5)^7(0.5)^3[/tex]

or, P (x = 3) = 120×0.0078×0.125.

or, P (x = 3) = 0.117 Or 11.7% chance.

Now, Changing the value won't have any effect as all the 'n's are multiple of 10 and we'll have same probability.

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Use the data{1,1,1,3,3,5,7,7,9,11,13,14} to create a histogram with 5 bins. What did you include in your response? Check all that apply.Kipling writes from the perspective of an imperialist.Johnson writes from the perspective of native peoples.Kipling uses ethnocentrism to describe the benefits of imperialism.Johnson describes imperialism as an abuse of power. The sampling distribution of the sample mean is formed from random samples of size 16 taken from a population with mean = 64 and standard deviation = 10. What are the mean and standard deviation of the sampling distribution of ? mean = 64, standard deviation = 0.625mean = 8, standard deviation = 2.5mean = 64, standard deviation = 2.5 macroeconomics concerns the analysis of all except one of the following. give the incorrect response: cash and treasury securities $100 million fed funds sold $100 million residential mortgages 1-4 family $200 million commercial loans $600 million note: the residential mortgages all have a loan-to-value of between 60 and 80 percent. if the bank has capital of $50 million, what is the leverage ratio using the standardized approach? Write a programthat asks the user to enter sevenages and then finds the sum. The input weightsshould allow for decimal values.Sample RunEnter Age: 25.2Enter Age: 26.7Enter Age: 70Enter Age: 30Enter Age: 52.6Enter Age: 24.4Enter Age: 22Sum of Ages250.9 write a public static method named meterstofeetandinches that will take a single argument of type float and will return a string. when called, and passed a distance value (in meters), this method must compute and return a string value with the equivalent distance in feet and inches. the meeting, what do Ralph, Simon, and Jack report back about the island? What famous books do they reference and why? Refer to evidence from the text in your response. this feature in powerpoint makes slide objects move on a slide. sorting movement transition animation Describe at least one detail from each story that supports each of the reasons you wrote. for gold in the Orchard what process does the government need to go through in order to spend money a 7.00-kg mass is hung from the bottom end of a vertical spring fastened to an overhead beam. the object is set into vertical oscillations having a period of 2.60 seconds. what is the force constant of the spring? The Tri-State Pick 3 lottery game offers a choice of several bets. You choosea three-digit number. The lottery commission announces the winning three-digit number,chosen at random, at the end of each day. The "box" pays $83.33 if the number you choosehas the same digits as the winning number, in any order. Find the expected payoff for a$1 bet on the box. (Assume that you chose a number having three different digits.) How many grams of calcium chloride will be produced when 27.0 g of calcium carbonate is combined with 11.0 g of hydrochloric acid? kat is fifteen. in most states, for contractual purposes, kat would be considered a minor until she is How can Rabies be Treated? can be defined as the time-dependent physical and physiological changes in body structure and function that occur normally and progressively throughout adulthood as humans mature and become older. One view of aging describes it as a process of slow cell death, beginning soon after fertilization.aging Judy owns 425 shares of stock, with a basis of $2712. The stock split 3 to 1. Judy now owns what? The US Supreme Court ruling that mandates that people arrested receive certain rights and have those rights explained to them isa. Hammer v. McCulloch.b. Marbury v. Madison.c. Griswold v. Connecticut.d. Miranda v. Arizona. evaluate the organizational tools and scrum-agile principles that helped your team be successful. be sure to reference the scrum events in relation to the effectiveness of the tools.