please look at the pic

Please Look At The Pic

Answers

Answer 1

By using internal angles of the triangles and the definition of supplementary angles, the measure of the angle MNP is equal to 54°.

How to determine a missing angle in a geometric system

Herein we find a geometric system formed by two common semirrays with a common vertex at point N and a line segment MP such that triangle MPN is a right triangle. By Euclidean geometry we know that the sum of the measures in the internal angles equals 180°:

m ∠ NMP + m ∠ MNP + m ∠ MPN = 180°      (1)

And the two angles at point P are supplementary angles:

24 · x + m ∠ MPN = 180°      (2)

Then, by (1):

90° + 9 · x + m ∠ MPN = 180°

m ∠ MPN = 90° - 9 · x

By (1) in (2):

24 · x + 90° - 9 · x = 180°

15 · x = 90°

x = 6

Then, the measure of the angle MPN is equal to:

m ∠ MNP = 9 · x

m ∠ MNP = 9 · 6

m ∠ MNP = 54°

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Related Questions

Which equation is equivalent to the equation 4x + 28 = 40?

a. 4 (x + 28) = 40
b. 4 (x + 7) = 40
c. 4x = 68
d. 32x = 40

Answers

Answer:

b

Step-by-step explanation:

4x + 28 = 40

4x + 4*7 = 40

4(x+7) = 40

3/4 divided by 2/x simplified

Answers

Answer:3

Step-by-step explanation:

(-3/4)/(-2/8)=(-3/4)(-8/2)=(-3/4)(-4)=3

the probability that it will rain is 0.42 what is the probability that it will not rain

Answers

Answer:

99.58

Step-by-step explanation:

Im not sure if its correct but the way I got the answer is 100-0.42

HELP FOR 40 PTS AND BRAINLY :)

Answers

Answer:

A. 183

Step-by-step explanation:

To solve this problem, use the order of operations.

PEMDAS stands for:

ParenthesesExponentsMultiplyDivideAddSubtract

112-38*14÷14+109

First thing you do is multiply.

[tex]\sf{38*14\div14}[/tex]

38*14=532

532÷14=38

112-38+109

Add and subtract the numbers from left to right.

[tex]\sf{112-38+109}[/tex]

[tex]\sf{112-38=74}[/tex]

[tex]\sf{74+109=\boxed{\sf{183}}[/tex]

[tex]\Rightarrow \boxed{\sf{183}}[/tex]

Therefore, the correct answer is A. 183.

I hope this helps, let me know if you have any questions.

Answer:

I’m believing it is A. 183

Step-by-step explanation:

is correct don’t you;)

24. How many dimensions does a line have?
a. No dimensions
b. One dimension
c. Two dimensions
d. Three dimensions

Answers

The line has one dimension.

Answer:

b. one dimension

Step-by-step explanation:

0 dimensions would be a point.

1 dimension is a line

2 dimensions is an area

3 dimensions is a volume.

Miguel can type 448 words in 8 minutes. Jaycee can type
700 words in 25 minutes. Who types faster?

Answers

Answer:

umm i will explain

Step-by-step explanation:

miguel = 448 in 8 min

jaycee = 700 in 25 min

in 1 min miguel can type=

448/8 = 56 words

in 1 min jaycee can type=

700/25 = 28 words

so miguel can type's faster than jaycee

The number of students at Longview Middle School decreased by 0.75% from the number of students the previous year. To represent the percent, Don uses a 10 × 10 grid and divides one of the squares in the grid into 100 smaller squares. How many of the smaller squares will be shaded to represent 0.75%?





The area of Nevada is about 245% of the area of Ohio. How many squares would be shaded on 10 × 10 grids to represent 245%?

Answers

The number of the smaller squares which would be shaded to represent 0.75% as given in the task content is; 75.

The number of squares to correctly represent 245% on the grid is; 245.

What is the number of smaller squares which would be shaded to represent 0.75%?

It follows from the task content that; To represent the percent, Don uses a 10 × 10 grid and divides one of the squares in the grid into 100 smaller squares.

Since each Square in the 10 × 10 grid represents 1%, it follows that on division of one of the squares in the grid into 100 smaller squares;

The percentage, 0.75% can be represented by shading 75 smaller squares.

Also, the number of squares to be shaded on 10 × 10 grids to represent 245% according to the task content is; 245. This follows from the fact that, all 100 squares on the on 10 × 10 grids represent 100%.

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Is (x - 5) a factor of the following polynomial. Show your work. No work-no credit. 6) 5x³-28x + 13x³ + 5x² + 27x - 10 7) 2x² - 4x² - 10​

Answers

(x-5) is not a factor of  6) 5x³-28x + 13x³ + 5x² + 27x - 10 and 7) 2x² - 4x² - 10​.

What is the long division method?

You can divide huge numbers into numerous smaller groups or portions with the long division tool. The number of groups that can be formed when a dividend is divided by a divisor is given by the quotient, and the number of elements or integers that will remain ungrouped is given by the remainder.

6) we can simplify the equation 5x³-28x + 13x³ + 5x² + 27x - 10 further,

=  5x³+ 13x³+ 5x²-28x + 27x - 10

=[tex]18x^{3}+5x^{2} -x-10[/tex]

similarly, equation  2x² - 4x² - 10 can further be simplified

= [tex]-2x^{2} +0x-10\\[/tex]

now using the long-division method, in both cases (refer to the photo attached):

After referring to the picture we can conclude that (x-5) is not a factor of  6) 5x³-28x + 13x³ + 5x² + 27x - 10 or 7) 2x² - 4x² - 10​.

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Solve the following inequality:
4c<14-3c

Answers

Answer: x < 2

Step-by-step explanation:

    To solve this, we will isolate the variable c.

   Given:

4c < 14 - 3c

   Add 3c to both sides of the equation:

7x < 14

   Divide both sides of the equation by 7:

x < 2

What is the answer to this question?

Answers

The perimeter of the square BCDE is 8√2 cm.

How to find perimeter of a square?

A square is a quadrilateral that has all its sides equal to each other. All the angles in a square are also equal.

Therefore, the perimeter of a square is the sum of the whole sides of the square.

perimeter of the square BCDE = 4l

area of triangle ABC = 2cm²

area of triangle ABC = 1 / 2 bh

2 = 1 / 2 bh

The diagonal of square bisect each other.

The base and height of the triangle ABC are the same.

bh = 4

b² = 4

b = √4

b = 2 cm

Therefore,

BC = √2² + 2²

BC = √8

BC = 2√2 cm

Hence,

perimeter of the square BCDE = 4(2√2)

perimeter of the square BCDE = 8√2 cm

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x - 2(x - 6) = -x + 12

Answers

The value of x in the equation given as x - 2(x - 6) = -x + 12 is 0

What are linear equations?

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

How to determine the solution to the equation?

A system of linear equations is a collection of at least two linear equations.

In this case, the equation is given as

x - 2(x - 6) = -x + 12

Open the bracket

So, we have

x - 2x + 12 = -x + 12

Evaluate the like terms

So, we have

x - 2x = -x

This gives

x = 0

Hence, the solution of x in the equation is 0

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Maria and Jamal each have gardens. The area of Maria’s garden is represented by the expression 8x2 – 3x. Jamal’s garden is a rectangular plot with the width and length represented by the expressions 3x and 4x – 2.

Which expressions give how much bigger or smaller Jamal’s garden is compared to Jessica’s? Check all that apply.

4x2 – 9x
–4x2 + 3x
4x2 – 3x
12x2 – 6x – 8x2 – 3x
12x2 – 6x – 8x2 + 3x

Answers

The expression will be given as -4x² + 3x. Thus, option B is correct answer.

Area may be defined as the total amount of space which is covered by an entity. The area for a square will be given by the product of its sides and the area of the rectangle will be given as the product of its length and breadth. It is given that the area of Maria's garden is 8x² - 3x and the length and breadth of Jamal's garden are 4x - 2 and 3x respectively. The area of Jamal's garden is given by A = l×b  = (4x - 2) × 3x = 12x² - 6x.

Now, difference between Maria's garden and Jamal's garden is given by

(8x² - 3x) - (12x² - 6x)

= 8x² - 3x - 12x² + 6x

=> -4x² + 3x which is the required answer.

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Estimate the quotient of 72.4 ÷ 9.38.

8
9
10
11

Answers

Answer: 80

Step-by-step explanation:

72.4 = 724/10

9.38=

938/10.

72.4/9.38

= 7.7

=8 approximately

The estimated quotient of 72.4 ÷ 9.38 is 8

Estimation is the process of calculating the approximate value to make the calculation easier and simple.

The rounding off a number is the process of putting a number up or down to the nearest whole number or the nearest tens, hundred, thousand, etc

First number is 72.4

Round the number to the nearest whole number

72.4 = 72

Second number is 9.38

Round the number to the nearest whole number

9.38 = 9

Divide the number 72 by 9

72/9 = 8

The quotient is 8

Hence, the estimated quotient of 72.4 ÷ 9.38 is 8

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A line passes through the point (5,-2) and has a slope of -3

Answers

Answer: not sure

Step-by-step explanation: this: by this -

Equals this: ur mom

hoang has worked as a nurse at springfield general hospital for 6 years longer than her friend bill. four years ago, she had been at the hospital for twice as long. how long has each been at the hospital?

Answers

By solving the equation we can conclude that Bill worked 4 years and Hoang worked 10 years in the hospital.

What do we mean by equations?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

So, Hoang worked for 6 years longer than her friend.

Let, the time Bill worked in the hospital be 'x'.So, Hoang worked in the hospital will be 'x + 6'.

She spent twice as much time in the hospital two years ago. Then:

x + 6 - 2 = 2x4 = xx = 4

Hence, Bill worked for 4 years and Hoang worked (4+6) for 10 years in the hospital.

Therefore, by solving the equation we can conclude that Bill worked for 4 years and Hoang worked for 10 years in the hospital.

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1. Check whether the following is closure under multiplication : 7×12 = 72
2. The sum of two integers is -38,one of them is -22.Find the other.
3. In a competitive exam, Gopi gets 4 marks for each correct answer and -2 for each wrong answer. If he gives 32 correct answers and 8 wrong answers, what will be his total score?


Answers

7 × 12 = 72 satisfies the closure property of multiplication, the other integer when the sum is - 38 and one integer is - 22 will be - 16 and the total score for Gopi will be 112 marks.

1)

Closure property of multiplication:

It states that if  two real numbers a and b are multiplied, then the product will be a real number as well.

We have 7 × 12 = 72

7, 12 and 72 all are real numbers.

So, it is a closure property under multiplication.

2)

Sum = - 38

a = - 22

We need to find b

a + b = - 38

- 22 + b = - 38

b = - 38 + 22

b = - 16

3)

1 correct answer = 4 marks

1 incorrect answer = - 2 marks

Number of correct answers = 32

Number of incorrect answers = 8

Total score = 32 × 4 + (- 2) × 8

= 128 - 16

= 112 marks.

Therefore, we get that, 7 × 12 = 72 satisfies the closure property of multiplication, the other integer when the sum is - 38 and one integer is - 22 will be - 16 and the total score for Gopi will be 112 marks.

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Please answer the math question or help me on this.

Answers

The equation that represents the proportional relationship between the number of red paint and white paint is: y = 1/4x.

How to Write an Equation of a Proportional Relationship?

A proportional relationship between two variables, x and y, where k represents the constant of proportionality or unit rate, can be expressed in  slope-intercept form as: y = kx.

To find the value of k, which is the unit rate, the coordinates of any point on the line can be used and solved as: k = y/x.

Given the graph that represents the relationship between the number of red paint and white paint, we can use a point on the line, say (4, 1) to find k:

Unit rate/constant of proportionality, k = y/x = 1/4.

Substitute k = 1/4 into y = kx:

y = 1/4x.

The equation is: y = 1/4x.

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Find the value of r so the line that passes through the pair of points has the given slope. ( − 2 , 8 ) , ( r , 4 ) , m = − 1 2

Answers

The line that passes through the pair of points has the given slope. ( − 2 , 8 ) , ( r , 4 ) , m = − 1 2, then the intersection with the domain is r = -5/3.

The line that passes through the pair of points has the given slope is,

( − 2 , 8 ) , ( r , 4 )  and m = -12

What is Slope :

Slope, numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it (“slope equals rise over run”).

m = rise/run

[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

Where,

m = slope

[tex](x_{1} ,y_{1} )[/tex] = coordinates of first point in the line

[tex](x_{2} ,y_{2} )[/tex] =  coordinates of second point in the line

Then, we can find the [tex]m_{1}[/tex]

We can use these two values, ( − 2 , 8 ) , ( r , 4 )

x1 = -2

y1 = 8

x2 = r

y2 = 4

m = [tex]\frac{4-8}{r-(-2)}[/tex]

[tex]m = \frac{-4}{r+2}[/tex]

We can substitute m= -12 value into m= -(4/r+2)

So,

We can write,

-12 =  [tex]\frac{-4}{r+2}[/tex]

We can find the domain,

If the fraction is defined, the dominator can not be equal to zero.

2 + r ≠ 0

Rearrange variables to the left side of the inequality,

r ≠ -2

Append the inequality as the domain,

r ≠ -2

We can solve the equation,

-12 =  [tex]\frac{-4}{r+2}[/tex]

Multiply both sides of equation by the common denominator,

-12 (r+2) =  -4(r+2)/ (r+2)

Reduce the fractions,

-12 (r+2) = -4

Apply the distributive property,

-12r - 24 = -4

Rearrange variable to the left side of the equation,

-12r = -4 + 24

Calculate the sum or difference,

-12r = 20

Divide both sides of the equation by the coefficient of variables,

r = - 20/12

r = -5/3

Therefore,

The intersection with the domain is r = -5/3, so  the line that passes through the pair of points has the given slope. ( − 2 , 8 ) , ( r , 4 ) , m = − 12.

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on june 10, 2010 the boston globe reported that in the six years between 2006 and 2012 boston firefighters received raises of 2%, 2.5%, 3%, 3.5%, 2.5%, and 1.5%.

Answers

on june 10, 2010 the boston globe reported that in the six years between 2006 and 2012 boston firefighters received raises of 2%, 2.5%, 3%, 3.5%, 2.5%, and 1.5%. then overall raise is 16%

on june 10, 2010 the boston globe reported that in the six years between 2006 and 2012 boston firefighters received raises of 2%, 2.5%, 3%, 3.5%, 2.5%, and 1.5%.

let us assume the amount be 100

in 2007 it increase at 2% then it become 102

in 2008 at rate 2.5% then =102+2.55=104.55

in 2009 at rate 3% then it become =3.1365+104.55= 107.68

in 2010 at rate 3.5% = 3.7690+107.68=111.44

in 2011 at rate 2.5% = 2.786+111.44=114.22

in 2012 at rate 1.5%= 1.71+114.22=115.93

Hence, overall increase is 16%

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Ver en español
Cindy needs c cups of flour to make brownies. She has 5 cups of flour in her cupboard. Write an expression that shows how many cups of flour Cindy will have left after making the brownies.

Answers

The expression for the number of cups of flour Cindy has left in the cupboard is y = 5 - c.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Let c be the number of cups of flour Cindy needs in her cupboard.

Let y be the number of cups of flour Cindy has left after making the brownies.

Now, the total number of cups in the cupboard is 5.

So, the expression for the total number of cups will be:

c + y = 5

Subtracting c from each side of the equation.

c + y - c = 5 - c

y = 5 - c

Therefore, the expression for the number of cups left is y = 5- c.

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In a small private school 3 students are randomly selected from 17 available students what is the probability that they are the three youngest students

Answers

Probability of three youngest student are selected is [tex]\frac{1}{816}[/tex]

What is probability?

The field of mathematics known as probability concerns with numerical representations of the possibility that an event will occur or that a statement is accurate. An event's probability is a number between 0 and 1, where, roughly speaking, 0 indicates the event's impossibility and 1 represents certainty.

Given data

Total number of students available = 17

Number of students selected = 3

C₍₁₈₋₃₎ = [tex]\frac{18!}{3!(18-3)!}[/tex]

C₍₁₈₋₃₎ = [tex]\frac{18(17)(16)}{3(2)(1)}[/tex]

C₍₁₈₋₃₎ = [tex]\frac{4896}{6}[/tex]

C₍₁₈₋₃₎ = 816

Number of ways where students selected are youngest = 1

Probability of three youngest student are selected

= [tex]\frac{1}{C}[/tex]₍₁₈₋₃₎

= [tex]\frac{1}{816}[/tex]

Probability of three youngest student are selected is [tex]\frac{1}{816}[/tex].

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Does the function y equals 14 times the quantity 1 over 2 end quantity to the x power represent exponential growth or decay? what is the equation of the asymptote? decay; y = 0 growth; y = 0 decay; x = −3 growth; x = −3

Answers

The exponential function given in this problem represents an exponential decay, and it's asymptote is of y = 0.

What is an exponential function?

An exponential function is modeled according to the rule given as follows:

[tex]y = ab^x + c[/tex]

The parameters of the function are defined as follows:

a + c is the y-intercept, which is the value of the function when x = 0.b is the rate of change of the function.c is the asymptote of the function.

To verify if the function represents growth or decay, we have to check parameter b as follows:

If |b| > 1, the function represents exponential growth.If |b| < 1, the function represents exponential decay.

In the context of this problem, the function is defined as follows:

[tex]y = 14\left(\frac{1}{2}\right)^x[/tex]

Hence the parameters of the given function are as follows:

a = 14, b = 0.5, c = 0.

Then:

Since |b| = 0.5 < 1, the function represents exponential decay.The asymptote of the function is of y = c = 0.

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Answer:

Answer down bellow

Step-by-step explanation:

Q's asked: Does the function y equals 14 times the quantity 1 over 2 end quantity to the x power represent exponential growth or decay? What is the equation of the asymptote?

Answer: Decay; y = 0

hope this helps

~~Wdfads~~

PLEASE I NEED ANSWER

Answers

Answer:

C and D. The x-axis is horizontal, the y-axis is vertical. Quadrant 3 is where you would find a point where the x is positive and the y is negative. Quadrant 3 is below the x-axis and is to the left of the y-axis.

Step-by-step explanation:

Hope it helps! =D


Two angles are supplementary if their sum is 180°. The larger angle measures three degrees more than twice the measure of a smaller
angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle.

Answers

ANSWER:

Smaller Angle= 59°
Large Angle= 121°

EXPLANATION:

You can start with setting it up like this

Small angle=X
Large angle=Y

We also know the large angle is 3 more then two times the small angle, it can be shown like this

y=2x+3

We also know that supplementary angles add up to 180°. So we now have 2 equations.

y=2x+3

x+y=180

Plug the first equation into the second one. Then solve for x

x+(2x+3)=180

3x=177

x=59

Then plug x into the first equation and solve for y.

y=2(59)+3

y=121

So…

Smaller Angle= 59
Large Angle= 121




need to show my work and find the surface area

Answers

4) The surface area of the square pyramid is; 145 ft²

5) The surface area of the rectangular prism is; 948 ft²

How to find the surface area of regular shapes?

4) For the square pyramid, we see that the faces have been broken down into 4 equal rectangles and one square base.

We know that;

Area of triangle = 1/2 * base * height

Thus

Area of 4 triangles = 4(1/2 * 5 * 12) = 120 ft²

Area of square = 5 * 5 = 25 ft²

Total surface area = 120 + 25 = 145 ft²

5) The surface area of a rectangular prism is;

A = 2(wl + hl + hw)

Thus, Area = 2((20 * 3) + (20 * 18) + (18 * 3))

Area = 2(474)

Surface area = 948 ft²

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Show all work. Round all percentages to the nearest tenth of a percent. Mr. McCullough paid 80 people to say they were his friends. After he paid them, 26 of them still did not claim to be his friend. What percent of the people he paid claimed to be his friends?​

Answers

The percent of the people he paid claimed to be his friends is 67.5%

Given,

Mr. McCullough paid 80 people to say they were his friends.

and, After he paid them, 26 of them still did not claim to be his friend.

To find the percent of the people he paid claimed to be his friends

Now, According to the question:

Based on the given condition,

Formulate :

(80- 26) ÷ 80

Calculate:

(80- 26) / 80

= 54/80

Simplify

= 27/40

=0.675

Convert to percentage;

Multiply a number to both the numerator and the denominator

0.675 × 100/100

Calculate

67.5 / 100

= 67.5%

Hence, The percent of the people he paid claimed to be his friends is 67.5%.

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A stack of recyclable newspaper 36 inches high will save one tree. The number of trees saved by recycling is directly proportional to the height of a stack of recyclable newspapers. How many trees would be saved from a stack of newspapers 24 feet high?

Answers

The number of trees that could be saved is 8 trees.

What is the number of trees?

We know that papers are obtained from trees. The trees have to be cut down and then the Malina from the trees could be used in the production of paper.

It is also possible to save the trees by decreasing the number of trees that have to be cut by the recycling of the paper.  The number of trees saved by recycling is directly proportional to the height of a stack of recyclable newspapers.

If  stack of recyclable newspaper 36 inches high will save one tree;

Let the stack of recyclable newspaper = s

Number of trees = n

s α  n

Introducing a constant of proportionality

s = kn

k = s/n

k = 36 inches/1

k = 36 inches

When the height is  24 feet high of 288 inches

n = s/k

n = 288 inches/36 inches

n = 8 trees

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In the figure below, m
m

Answers

rjdjdjdufjfjfjfjfuuf

Simplify: 3√5•√10+11√5•√10-√5
choices:
A) 14√15-√5
B) 6√35
C) 26√50
D) 14√50-√5

Answers

The value of the numbers 3√5•√10+11√5•√10-√5 based on the information is D. 14✓50 - ✓5

How to illustrate the information?

It should be noted that based on the information given, we simply want to simplify 3√5•√10+11√5•√10-√5.

This will be illustrated as:

= 3√5•√10+11√5•√10-√5

It should be noted that the numbers inside the square roots will be multiplied. This will be:

= (3√5•√10) + (11√5•√10) -√5

= 3✓50 + 11✓50 - ✓5

= 14✓50 - ✓5

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1. The graph shows the height of a plant after a certain amount of time measured in days. Do you think that there may be a proportional relationship between the number of days and the height of the plant? Explain your reasoning. The graph shows how much snow fell after a certain amount of time measured in hours. 2. Do you think that there may be a proportional relationship between the number of hours and the amount of snow that fell? Explain your reasoning.

Answers

Due to different rates of change in each case, neither graph shows a proportional relationship.

When does a graph represents a proportional relationship?

A graph represents a proportional relationship if the output variable y in the y-axis can be written as a product of the input variable x in the x-axis and the constant of proportionality k, as follows:

y = kx.

Item 1

Between days 0 and 10, the plant grew by 4 centimeters.Between days 30 and 40, the plant grew by 8 centimeters.

For the first case, the rate of change is of:

k = 4/10 = 0.4.

For the second case, the rate of change is of:

k = 8/10 = 0.8.

Different rates, hence cannot be written as proportional relationship.

Item 2

Between hours 0 and 2, the amount of snow grew by 2 inches.Between days 2 and 4, the amount of snow remained constant at 2 inches.

Hence the rates for each interval are given as follows:

Hours 0 - 2: 2/2 = 1 inch a hour.Hours 2 - 4: 0/2 = 0 inches a hour.

Different rates, hence it is not a proportional relationship.

What is the missing information?

The graphs are missing and are given by the image inserted at the end of the answer.

More can be learned about proportional relationships at https://brainly.com/question/10424180

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