What is something special about the relationship between an interior and exterior angle that are adjacent?

Answers

Answer 1

Answer:

Hi Elm!

Step-by-step explanation:

In a polygon, the sum of the measures of the interior angles and the sum of the measures of the exterior angles of adjacent angles are related. Specifically, the sum of the measures of the interior angles of a polygon is equal to (n - 2) times 180 degrees, where n is the number of sides in the polygon. For a given interior angle and its adjacent exterior angle, the measure of the exterior angle is equal to the sum of the interior angle and 180 degrees.

Answer 2

Step-by-step explanation:

Interior angle is formed by two sides of a polygon. The corresponding exterior angle is formed by one of these sides and continuation of another (see the drawing.) That makes these two angles adjacent to each other and together forming a straight angle of 180o degree.

I hope this helps a bunch! Make sure to rephrase!


Related Questions

Which is a true statement about the graph shown?

Answers

Answer:

D

Step-by-step explanation:

i think this is the same example?

The answer is D because it doesn’t pass the vertical line test

Joel wants to buy a new tablet from a store having a 20% off sale. The tablet he wants has an original cost of $190.

Which expressions would represent the sale price?

A. 0.80p

B. p + 0.20p

C. 1.20p

D. p - 0.20p

Answers

D.
Because the answer is the Discount subtracted from the Original Price

what is the location of earths center relative to a great circle defined by a pair of widely spaced flagpoles on earths surface

Answers

The location of earths center relative to a great circle defined by a pair of widely spaced flagpoles on earths surface is:

directly beneath the great circle defined by the two flagpoles.

The great circle defined by two flagpoles on the Earth's surface is a line that bisects the sphere of the Earth into two equal parts. This line passes directly through the center of the Earth, so the center of the Earth is located directly beneath the great circle.

The Earth is a three-dimensional object, so if two points on its surface are connected with a line, that line must pass directly through the center of the Earth.

This line is called a great circle because it is the largest possible circle that can be drawn on the surface of the Earth. The great circle formed by two widely spaced flagpoles on the Earth's surface serves as a reference point for determining the exact location of the Earth's center relative to the surface.

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4) A line has the equation
y = 3x + 4. Find the equation
of the line parallel to this line,
which passes through the
point (5, 4)

Answers

Answer:

y = 3x - 11

Step-by-step explanation:

parallel lines have the same slope

y - y1 = m(x - x1)     point slope form, plug in the point (5,4)

y - 4 = 3(x - 5)    put this in slope-intercept form

y - 4 = 3x - 15

y = 3x - 11

how do you add numbers with exponents

For example: 3(2) + 3(3) =

Answers

Answer: To add numbers with exponents, you need to make sure that the bases are the same. Then you can add the exponents.

For example:

3^2 + 3^3 =

9 + 27 =

36

So 3^2 + 3^3 = 36.

Here are a few more examples:

(2^3) + (2^2) =
8 + 4 = 12

(5^2) + (5^3) =
25 + 125 = 150

(4^4) + (4^3) =
256 + 64 = 320

(3^3) + (3^2) =
27 + 9 = 36

(6^4) + (6^3) =
1296 + 216 = 1512

Step-by-step explanation:

What is the next fraction in this sequence? Simplify your answer.

1/5
,
4/15
,
1/3
,
2/5
,

Answers

Answer:

7/15

Step-by-step explanation:

We know the order is

1/5, 4/15, 1/3, 2/5

We can rewrite these as

3/15, 4/15, 5/15, 6/15

So, the next fraction in this sequence is 7/15

do teenagers prefer yellow candy or pink candy? two different supplements, which have no effect on taste, are used on identical candies to produce a yellow or pink candy. volunteer teenagers are randomly assigned to either pink candy or yellow candy. the participants are then asked to rate the candy on a 1- to 10-point scale. is blinding demonstrated in this experiment? no, because the volunteers do not know the color candy they are getting no, because the volunteers know whether they are eating yellow candy or pink candy yes, by having the experimenter in a separate room pick one of the two containers at random and having a candy pulled from that container remotely yes, by having the statistician analyzing the results not know which volunteer sampled which candy yes, by having the volunteers wear a blindfold while they eat the candy out of the container so they don't know the color of the candy they are tasting

Answers

No, blinding was not demonstrated in the experiment because the volunteers knew whether they are drinking purple juice or yellow juice.

What is blinding in an experiment?

Blinding is the process of hiding a participant's group assignment from one or more other participants in a clinical research study, most frequently a randomized controlled trial (RCT).

Although the candy has the same flavour as the drink, participants can tell the difference based on colour. No, because the participants are aware of whether they are consuming yellow or purple juice.

To create a yellow or pink candy, two separate additives that don't affect flavour are added to identical sweets.

In each experiment, group allocations are concealed from data analyzers by blinding or masking. This experiment is not a blinding demonstration since the subject is aware of the juice.

As a result, adolescent volunteers are at random allocated either pink candy or yellow candy, both of whom are aware of the juice.

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find the sum of the first 100 terms of the arithmetic sequence is 15250 while the sum of the next 100 terms is 45250. find the sum of the next 100 terms

Answers

The sum of the next 100 terms is 65250.

An arithmetic sequence is a sequence of numbers such that the difference between any two consecutive terms is constant. If we let "a" be the first term of the sequence and "d" be a common difference, then the nth term of the sequence is given by a + (n-1)d.

Since the sum of the first 100 terms is 15250 and the sum of the next 100 terms is 45250, we can write two equations to represent these sums:

100/2 * (2a + 99d) = 15250100/2 * (2a + 199d) = 45250

We can use these equations to find the value of "d". Once we have found the value of "d", we can use the equation for the nth term to find the sum of the next 100 terms.

Subtracting the first equation from the second, we get:

100/2 * (100d) = 30000

Dividing both sides by 100/2, we get:

d = 300

Finally, using the equation for the nth term and n = 201, we get:

a + (200)d = a + 200*300 = 60000

So, the sum of the next 100 terms is 65250.

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(3*0.6)+(3*x)=13 what is x

Answers

Answer: 3.73

Step-by-step explanation: Search math w ay on the internet

answer please thanks so much

Answers

Answer: A.

Step-by-step explanation: 0.4 is 40 so 40 is greater than 35 :)

Answer: The answer is the first one

Step-by-step explanation:

0.35 is equal to 35/100 or 35% and 0.4 is equal to 40/100 or 40%

She thought is was 0.35 is equal to 35% and 0.4 is equal to 4%

So it is the first answer

a professor gives a statistics exam. the exam has 50 possible points. the scores for the students in the third classroom are as follows: 30 48 44 32 44 44 32 48 50 calculate the sample size, n, and the sample mean, m.

Answers

The sample size, n is 9 and the sample mean, m is 41.33.

The exam has possible points and the scores for the students in the third classroom are as follows: 30 48 44 32 44 44 32 48 50.

We are asked to determine the sample size(n) and sample mean(m).

Sample size refers to the number of observations included in a study. In this question, the number of observations is equal to the number of scores in the third classroom. Hence, the sample size(n) is equal to n.

Now, the formula of the sample mean(m) is given as  

                m = Sum of all observations/Total Number of observations

          m =  30 + 48 + 44 + 32 + 44 + 44 + 32 + 48 + 50/9

          m = 372/9

          m = 41.33

Hence, the sample mean(m) of the scores for the students in the third classroom is 41.33.

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if the mean of the nails is 8.9 and the standard deviation is 5.56 what is the probability that a bag of 225 nails would be more than 2100?

Answers

The probability of getting a z-score greater than 0.15 is approximately 0.5693.

The probability of getting more than 2100 nails in a bag is approximately 0.5693.

The number of nails in a bag is a discrete random variable, so it's not appropriate to use a normal distribution to model it.

Also, the mean of 8.9 and standard deviation of 5.56 are for a single nail, not for a bag of 225 nails.

To answer the question, we need more information on the distribution of the number of nails in a bag.

Assuming that the distribution is approximately normal, the mean of the number of nails in a bag would be 225 * 8.9 = 2009 and the standard deviation would be the square root of 225 * (5.56)^2 = 59.11.

With these values, we can use a standard normal distribution to find the probability of getting more than 2100 nails in a bag:

z = (2100 - 2009) / 59.11 = 0.15

Note: This calculation assumes that the distribution is approximately normal, and that the mean and standard deviation of a single nail are accurate. These assumptions might not hold in practice, so the answer should be taken with caution.

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What base can you rewrite both 5 and 1 over 25 using properties of exponents?

Answers

The expression can be written as 5¹/₂₅.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the number is 5 and 1 over 25. The mixed fraction can be written as:-

E = 5 and 1 over 25

E = 5¹/₂₅.

Therefore, the expression can be written as 5¹/₂₅.

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What type of angle is each angle in this figure?
Drag and drop a term into each box to correctly identify each angle.

Answers

K= Right
J= Obtuse
M= Acute
L= Acute

Acute is less than 90° degrees, obtuse is more than 90° degrees, and a right angle equals 90° degrees.

K = RIGHT, M = ACUTE J =OBTUSE and L = ACUTE

a process that generates random outcomes is called a. experiment b. population c. probability d. event e. sample

Answers

Answer:

C

Step-by-step explanation:

C, probability is the answer

hich of the six possible logical implications (see below) between pairs of p , q, and r are true, and why? are any of p , q, and r logically equivalent to another?

Answers

A logical implication is considered true if the antecedent (p or q or r) implies the consequent (q or p or r), meaning that if the antecedent is true, then the consequent must also be true.

The six possible logical implications between pairs of propositions p, q, and r are:

p implies q (p => q)q implies p (q => p)p implies r (p => r)r implies p (r => p)q implies r (q => r)r implies q (r => q)

A logical implication is considered true if the antecedent (p or q or r) implies the consequent (q or p or r), meaning that if the antecedent is true, then the consequent must also be true. However, the converse of the implication may not be true, meaning that if the consequent is true, the antecedent may not be true.

Whether or not any of p, q, and r are logically equivalent to another depends on the specific logical relationships between them. Logical equivalence occurs when two propositions have the same truth value, meaning that they are both true or both false, regardless of the truth values of the other propositions.

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an office building worth $6 million when completed in 1997 was depreciated linearly over 50 years; that is, the book value of the building decreases at a constant rate, so that at the end of 50 years the book value is zero. a) what was the book value, in dollars, of the building in 2014?. answer: b) what will be the book value, in dollars, in 2028? answer:

Answers

The book value of the building in 2014 was $3.96 million. The book value of the building in 2028 will be $2.28 million.

a) The book value of the building in 2014 can be calculated as follows:

Book Value = Original Cost - (Depreciation Rate * Years Depreciated)

Depreciation Rate = Original Cost / Number of Years

Depreciation Rate = 6 million / 50 years = $120,000 per year

Years Depreciated = 2014 - 1997 = 17 years

Book Value = 6 million - (120,000 * 17) = 6 million - 2.04 million = $3.96 million

So, the book value of the building in 2014 was $3.96 million.

b) The book value of the building in 2028 can be calculated in a similar manner:

Years Depreciated = 2028 - 1997 = 31 years

Book Value = 6 million - (120,000 * 31) = 6 million - 3.72 million = $2.28 million.

So, the book value of the building in 2028 will be $2.28 million.

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The price of an ice cream cone is $3.25,
but it costs $3.51 with tax.
What is the sales tax rate? (Round to the
nearest whole percentage)

Answers

Answer:

8%

Step-by-step explanation:

3.51 - 3.25 = $0.26

0.26 divided by 3.25, time 100 = 8%

So, the sale tax rate is 8%

Answer:

Rate of sales tax rate is 8%

Step-by-step explanation:

A sales tax is a tax paid to a governing body for the sales of certain goods and services.

Price of an ice cream cone excluding tax = $3.25

Price of an ice cream cone including tax = $3.51

So,

Amount of tax = Price of an ice cream cone including tax  Price of an ice cream cone excluding tax =3.51 - 3.25 = $0.26

                   

                 Sales tax rate = [tex]\frac{0.26}{3.25} x 100 = 8%[/tex]

Please give brainliest answer

                     

Please help me easy easy

Answers

Answer:

32

2×2×2×2×2 = 32

2^5 = 32

Will mark brainlist! Pls help
Solve for x on the diagram below

Answers

Answer:

n/a

Step-by-step explanation:

Where's the diagram?

What is the value of x in the equation y = 4x – 2 when y = 18?

Answers

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{y = 4x - 2}\\\mathsf{18 = 4x - 2}\\\mathsf{4x - 2 = 18}\\\large\textbf{ADD 2 to both sides:}\\\mathsf{4x - 2 + 2 = 18 + 2}\\\large\textbf{Simplify it:}\\\mathsf{4x = 18 + 2}\\\mathsf{4x = 20}\\\large\textbf{Divide 4 to both sides:}\\\mathsf{\dfrac{4x}4{} = \dfrac{20}{4}}\\\large\textbf{Simplify it:}\\\mathsf{x = \dfrac{20}{4}}\\\mathsf{x = 5}[/tex]


[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{x = 5}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]



~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

[tex] \sf \: x = 5[/tex]

Step-by-step explanation:

Given equation,

→ y = 4x - 2

Now we have to use,

y = 18

Then the value of x will be,

→ y = 4x - 2

→ 18 = 4x - 2

→ 18 + 2 = 4x

→ 20 = 4x

→ 4x = 20

→ x = 20 ÷ 4

→ [ x = 5 ]

Hence, the value of x is 5.

plss help me i dont understand

Answers

Answer:

y = 1/5 x + 5

Step-by-step explanation:

20y- 4x = 100

Slope intercept form is y = mx+b  where m is the slope and b is the y-intercept.

Solving the equation for y

20y = 4x+100

Divide each side by 20

y = 4x/20 + 100/20

y = 1/5 x + 5

The slope is 1/5 and the y-intercept is 5

Answer:

y = 3

x = 5

Step-by-step explanation:

hope it helps.

Find δrh for this reaction as written. (use 1.0 gml−1 for the density of the solution and 4.184 jg−1∘c−1 as the specific heat capacity.)

Answers

To find ΔHrxn for Zn(s) + HCl(aq) heat, we use q = cmΔT and track down q = - 582.4 J, it is exothermic to show the response. ΔHrxn is equivalent to - 582.4 J, meaning the response discharges heat.

We can involve the condition for the adjustment of intensity energy, q = cmΔT, to ascertain ΔHrxn for this response.

q = heat energy change = cmΔT

where c = explicit intensity limit of the arrangement = 4.18 J/g⋅∘C

m = mass of the arrangement = thickness of the arrangement x volume = 1.0 g/mL x 50.0 mL = 50.0 g

ΔT = change in temperature = 24.3 ∘C - 21.5 ∘C = 2.8 ∘C

In this way, q = (4.18 J/g⋅∘C)(50.0 g)(2.8 ∘C) = 582.4 J

Since the response is exothermic (the arrangement discharges heat), the ΔHrxn will be negative, meaning the response discharges heat.

ΔHrxn = - q = - 582.4 J

Subsequently, the ΔHrxn of Zn(s) with HCl(aq) is - 582.4 J.

To find ΔHrxn, the intensity energy change, for the response of Zn(s) with HCl(aq), we utilize the condition q = cmΔT. The particular intensity limit of the arrangement is 4.18 J/g⋅∘C, the mass of the arrangement is 50.0 g, and the adjustment of temperature is 2.8 ∘C. In this way, q = - 582.4 J, meaning the response discharges heat, and ΔHrxn = - 582.4 J. This computation shows that the response of Zn(s) and HCl(aq) discharges heat, making it exothermic.

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The complete question is:

Zinc metal reacts with hydrochloric acid according to the following balanced equation.

Zn(s)+2HCl(aq)→ZnCl2(aq)+H2(g)

When 0.105 g of Zn(s) is combined with enough HCl to make 50.0 mL of solution in a coffee-cup calorimeter, all of the zinc reacts, raising the temperature of the solution from 21.5 ∘C to 24.3 ∘C.

Find ΔHrxn for this reaction as written. (Use 1.0 g/mL for the density of the solution and 4.18 J/g⋅∘C as the specific heat capacity.)

you decide to go to the movies with your bestie. tickets to the movie is 13.00$ wednesday special, all snacks are 4.00$. a 32 oz drink cost 6.00$. you bought a ticket one beverage and a few snacks write and solve an equation. how many snacks did you purchase?​

Answers

Let's assume that the total amount spent on the movie tickets and snacks is represented by x.

We know that:

The movie ticket costs $13.00

The drinks cost $6.00

Therefore, the equation representing the total amount spent is:

x = 13 + 6 + 4y

where y is the number of snacks purchased.

Let's substitute the given value of x:

23 = 13 + 6 + 4y

Subtracting 13 and 6 from both sides:

4 = 4y

Dividing both sides by 4:

y = 1

So, you purchased 1 snack.

i am 100 percent positivw thw answer is 1 snack

Vertical Angles 110 degrees, 4x+90 degrees what is x

Answers

The value of x is equal to 5.

What is the vertical angles theorem?

In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.

By applying the vertical angles theorem to the geometric figure, we have the following:

110 degrees = 4x + 90 degrees

4x = 110 degrees - 90 degrees

4x = 20 degrees

x = 5.

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a senatorial committee consists of 5 republicans and 5 democrats. in how many ways can this committee be selected from a pool of 15 republican and 10 democrat candidates?

Answers

There are 756,756 ways to select the senatorial committee from the given pool of candidates.

The number of ways to select a committee of 5 Republicans and 5 Democrats from a pool of 15 Republicans and 10 Democrats can be calculated as the number of combinations of 10 items taken 5 at a time (number of ways to select 5 Democrats) multiplied by the number of combinations of 15 items taken 5 at a time (number of ways to select 5 Republicans).

The number of combinations of 10 items taken 5 at a time is given by:

10 choose 5 = 10! / (5! * (10 - 5)!) = 252

The number of combinations of 15 items taken 5 at a time is given by:

15 choose 5 = 15! / (5! * (15 - 5)!) = 3003

Multiplying these two combinations, we get the total number of ways to select a committee of 5 Republicans and 5 Democrats from a pool of 15 Republicans and 10 Democrats:

252 * 3003 = 756756

Therefore, there are 756,756 ways to select the senatorial committee from the given pool of candidates.

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2-5x=2x-2+3x is this equation a 1 solution a no solution or in infinite solution

Answers

The linear equation has only one solution, and it is x = 2/5.

How many solutions does the linear equation has?

Here we want to see how many solutions does the linear equation have.

The equation is:

2 - 5x = 2x - 2 + 3x

To check that, let's try to solve the equation.

We can simplify the right side to get:

2 - 5x = (2x + 3x) - 2

2 - 5x = 5x - 2

Nowwe canadd 5x in both sides to get:

2 - 5x + 5x = 5x -2 + 5x

2 = 10x - 2

Now add 2 in both sides:

2 + 2= 10x - 2 + 2

4 = 10x

4/10 = x

2/5 = x

So that is the solution (and we know that there is only one because this is a linear equation).

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given a standardized normal distribution, between what two values of z (symmetrically distributed around the mean) will 68.26 percent of all possible z values be contained?

Answers

68.26% of all possible z values are contained between -1 and 1.

The formula for the 68-95-99.7 rule states that 68% of the data should fall within 1 standard deviation of the mean, 95% of the data should fall within 2 standard deviations of the mean, and 99.7% of the data should fall within 3 standard deviations of the mean. Therefore, for a standardized normal distribution, 68.26% of all possible z values are contained between -1 and 1.

To calculate this, first recall that for a normal distribution, the mean is 0 and the standard deviation is 1. Then use the 68-95-99.7 rule to determine that 68% of the data should be contained within 1 standard of the mean. Since the mean is 0, this means that 68% of the data should be contained between -1 and 1. Therefore, 68.26% of all possible z values are contained between -1 and 1.

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Find the values of x and y. SHOW YOUR WORK!

Answers

The value of 'x' and 'y' in the given diagram are 24° and 25° respectively.

What is a transversal?

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

We know the sum of linear pair of angles is equal to 180°,

(4x + 9)° +(3y)° = 180°.

We also know that pair of alternate interior angles are equal,

3y° = 75°.

y = 25°.

And (4x + 9)° + 75° = 180°.

4x + 84° = 180°.

4x = 96°.

x = 24°.

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If you fit a slope and intercept at the same time, then their errors will be correlated. (A). True (B). False

Answers

True , Their mistakes will be connected if you fit a slope and intercept at the same time. If more than one theory can explain a measurement, then the measurement cannot be used to differentiate between the two hypotheses.

What are theories and an example?

An assertion that reflects the relationship between precisely two variables is known as a simple hypothesis. a dependant and a single independent.

                                      As an illustration, consider the statement "Smoking is a significant cause of lung cancer." Smoking is an independent variable whose effect on lung cancer is dependent.

What is hypotheses, and what are its purposes?

A hypothesis serves as an answer to the research question and directs the gathering and analysis of data, as was previously mentioned.

                         Using a hypothesis, researchers can predict relationships between variables based on theoretical precepts and/or actual data in addition to discovering relationships between variables.

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RoomCarpet.java: defines the RoomCarpet class, which has a RoomDimension object as a data field3. the test program according to kessler, a useful approach to studying religion should be group of answer choices unidirectional multidirectional the atomic weight of copper is 63.55. what is the most likely decay mode for the radioactive isotope 68cu? in a civil action tried to a jury, the defendant objected to the introduction by the plaintiff of certain evidence without the judge's first making a preliminary ruling on the admissibility of the evidence. for which evidence is the defendant's objection not appropriate? if two successive overtones of a vibrating string are 320 hz and 400 hz , what is the frequency of the fundamental? seeing, hearing, and feeling are all examples of what process? Both the production of goods and services and the unemployment rate are used to measure the business cycle. True or false? TRUE OR FALSE An individual is heterozygous for two linked genes, but whether its genotype is AB/ab or Ab/aB is not known. The individual is crossed with an ab/ab individual, and among the progeny are: 16 AB/ab; 54 Ab/ab; 46 aB/ab; 24 ab/ab.These results imply that the genotype of the doubly heterozygous parent was AB/ab.true or false and explain your answer Which of the following actions is the first priority of care for a client exhibiting signs and symptoms of coronary artery disease?A Decrease anxietyB Enhance myocardial oxygenationC Administer sublingual nitroglycerinD Educate the client about his symptoms Niches are dynamic, and are affected by interactions among species.a. trueb. false Which of these is a characteristic of a successful entrepreneur mindset?Lives in a dreamworldMakes friends quicklyDoesn't give up easilyLikes to argue A high-level IS manager has his firm utilize sophisticated information systems to digitally design its products so that design defects can be detected and removed early in the process, reducing development cost. What business strategy does this represent?a. high standardsb. cost leadershipc. differentiationd.focus Date Lab Sec. Name Desk No. L a. How is the pressure of the vaporized liquid determined in this experiment? b. How is the volume of the vaporized liquid determined in this experiment? c How is the temperature of the vaporized liquid determined in this experiment? d. How is the mass of the vaporized liquid determined in this experiment? fill in the blank. in the ___ phase of the five-step marketing planning process, marketing managers identify and evaluate different opportunities by engaging in a process known as segmentation, targeting, and positioning.