The lengths of the sides of a quadrilateral are 4 consecutive even integers.



The perimeter of the quadrilateral is 20 inches.



What is the length of the longest side?

Answers

Answer 1

Answer: 8 inches

Step-by-step explanation:

A quadrilateral is a shape with four sides. Since the lengths of the sides of the quadrilateral are 4 consecutive even integers, let them be represented by a, a+2, a+4 and a+6.

We then equate the side to the perimeter. This will be:

a + a+2 + a+4 + a+6 = 20

4a + 12 = 20

4a = 20 - 12

4a = 8

a = 8/4

a = 2 inches

The length of the longest side will be:

= a + 6

= 2 + 6

= 8 inches


Related Questions

18.08 x 1.3 + 2.12 then multiply the answer by 2.12
then add the 2 answers
i will give brainliest

Answers

Answer:

79.94688

Step-by-step explanation:

PLEASE HELP!!!! I HAVE TO TURN THIS IN IN 5 MIN!!!
ARE THE IMAGES IN THE CORRECT GROUPS????
(They have to be in groups of 3!)

Answers

Answer:

Orange with pink, Yellow with red, Purple with blue. Yellow should be 1x instead of 3x. Swotch the table under red with green aswell.

If 4 batches of muffins and 5 loaves of bread are baked, how much flour will be left? Give your answer in kilograms. b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour? Explain your answer.

Answers

This question is Incomplete

Complete Question

The bakery bought 4 bags of flour containing 3.5 kg each. 0.475 kg of flour is needed to make a batch of muffins, and 0.65 kg is needed to make a loaf of bread.

a. If 4 batches of muffins and 5 loaves of bread are baked, how much flour will be left? Give your answer in kilograms.

b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour? Explain your answer.

Answer:

a. 8.85kg of flour is left.

b. 2.95 bins

Step-by-step explanation:

The bakery bought 4 bags of flour containing 3.5 kg each.

Total kg of flour the Bakery bought : 4 × 3.5kg

= 14 kg of flour

0.475 kg of flour is needed to make a batch of muffins

1 batch of muffin = 0.475kg of flour

4 batches of muffins = ???

Cross Multiply

4 batches × 0.475kg/ 1 batch

= 1.9kg of flour was used.

0.65 kg is needed to make a loaf of bread.

1 loaf of bread = 0.65kg of flour

5 loaves of bread = ???

Cross Multiply

5 loaves × 0.65/1 loaf

= 3.25 kg of flour.

Total kg of flour used = 1.9kg + 3.25kg

= 5.15kg of flour.

The amount of flour left = 14kg - 5.15kg

= 8.85kg of flour is left.

b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour?

3 kg of flour is stored = 1 bin

8.85 kg of flour is stored = x

Cross Multiply

3kg × x = 8.85kg × 1 bin

x = 8.85 kg × 1 bin/3kg

x = 2.95 bins

rewrite the quadratic function f(x) = (2x -3)(x+4) in standard form

Answers

Answer:

f(x) = 2x^2+5x-12

Step-by-step explanation:

7+root 3 divided by 7-root 3

Answers

7 + root3 = 8.73
7 - root3 = 5.26
Thus
8.73/5.26 = 1.659

Which statement about the number 49 is true

Answers

Answer:

F.

Step-by-step explanation:

Prime means that it is only divisible by 1 and itself, and we know that it is also divisible by 7, therefore it is a composite number because it has 1, 7, and 49 as factors.

pls answer for points

Answers

Answer:

Step-by-step explanation:

5/6 - (2/5 + 1/3)

25/30 - (12/30 + 10/30)

25/30 - 22/30 = 3/30 = 1/10

answer is b

Frederick is training for a triathlon and wants to focus on swimming this week. He can swim 25 yards in 23 seconds. He set up a proportion to determine how long it would take him to swim 175 yards at this rate. Which proportions can be used to determine how long it would take him to swim 175 yards?

Answers

Answer:

161secs

Step-by-step explanation:

If Frederick can swim 25 yards in 23 seconds, then:

25 yards = 23 seconds

To determine how long it will take him to swim 175yards, we will say:

175 yards = x

Equating both expression:

25 yards = 23 seconds

175 yards = x

Cross multiply

25x = 23*175

25x = 4025

Divide both sides by 25

25x/25 = 4025/25

x = 161 secs

This means that it will take Frederick 161 secs to swim 175 yards

Expressions equivalent to (7^3 x^4)^0

Answers

Answer:

Step-by-step explanation:

Any number or variable to the power of 0 is 1

(7^3 x^4)^0 = 1

TILE Mark is purchasing new tile for his bathrooms. The home improvement store charges $48 for each box of tiles when three or fewer boxes are purchased, $45 for each box when 4 to 8 boxes are purchased, $42 for each box when 9 to 19 boxes are purchased, and $38 for each box when more than nineteen boxes are purchased a. Write a piecewise-defined function describing the cost of the boxes of tile. b. What is the cost of purchasing 5 boxes of tile? What it is the cost of purchasing 19 boxes of tile?​

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

3 boxes or less = Cost of tiles = $48

4 - 8 boxes ;  cost = $45

9 - 19 boxes ; cost = $42

> 19 boxes ; cost = $38

Cost of purchasing 5 boxes of tiles :

$45 * 5 = $225

Cost of purchasing 19 boxes :

$42 * 19 = $798

Can someone help me on questions 10-15

Answers

Answer:

10. Supplementary

11. Congruent

12. Congruent.

13 . congruent

14 supplement

15 supplementary

Hope this helps you Do mark as brainliest!

James bought a car and paid for it in equal payments of $854. After making 41 payments, he still had to pay $16,331.

Answers

What is this asking? He’s Paid $35,014
Oh 19.122 payments left

What is the solution to 4x3 - 3x2 - 7x<0?

Answers

Answer:

[tex](-∞,1) , (0,\frac{7}{4})[/tex]

Step-by-step explanation:

Factor:

x(4x³-3x-7)<0

If your good at math and can do some one of my problems lmk but if not dont say yes or no just dont comment at all

Answers

Answer:

gbklkijgggddfhokjvhjk

by looking at the pattern , find the missing term​

Answers

Answer:

where the pattern??????

Answer:

where is the pattern

Step-by-step explanation:

Using these clues, make a quadilateral. Write the name and each side. What is the perimeter?
1. rectangle with sides 7 feet
2. 7feet
3. 10 feet
4. 10feet

Answers

The name of my shape is a parallelogram. The sides are:

7 feet7 feet10 feet10 feet

The perimeter is 34 feet because:

Step 1: Add smaller groups.

10 + 10 = 20

7 + 7 = 14.

Step 2: Add the two numbers.

14 + 20 = 34.

Hope this answer helps you!

Pauline orders wristbands from two different companies. • Company 1 sells each wristband for $2 and has free shipping. Company 2 sells each wristband for $1.25 and charges $6 for shipping per order. Write an equation to model the number of wristbands, w, for which the two companies charge the same amount.

Answers

Answer:

8 wristbands

Step-by-step explanation:

Let us assume that both of the company were ordered to deliver w wristbands.

The amount of money charged by company 1 who sells at $2 and offers free shipping is given as:

2w

The amount of money charged by company 2 who sells at $1.25 and $6 for shipping per order given as:

1.25w + 6

If both companies charge the same amount, hence:

2w = 1.25w + 6

2w - 1.25w = 6

0.75w = 6

w = 6/0.75

w = 8

The two companies charge the same amount for 8 wristbands

I’ll give 10 points and brainliest

Answers

Answer:

Step-by-step explanation:

-(-2)^2 - (8(-2)-2(-3)) + 4(-3)

-4 -(-16 + 6) - 12

-4 - (-10) - 12

-4 + 10 - 12

6 - 12 = -6

Victor runs 3 laps around the track every 5 minutes. How many laps does Victor run in 1 minute?

Answers

Answer:

Victor runs 0.6 of a lap in 1 minute

Step-by-step explanation:

From the question;

3 laps = 5 minutes

x laps = 1 minute

3 * 1 = 5 * x

3 = 5x

x = 3/5

x = 0.6

Victor runs 0.6 of a lap in a minute

Abraham has visited country somebody he has a cold or visiting at least 50 countries he plans to choose a school by visiting five new countries per year (Y) for the next several years which inequality and solution shows the amount of years they will take for Abraham to meet his goal

Answers

Question:

Abraham has visited at least 50 countries; he plans to visit five new countries per year (Y) for the next several years. Which inequality and solution shows the amount of years they will take for Abraham to meet his goal.

Answer:

[tex]Countries \geq 50 + 5y[/tex]

[tex]y \leq 29[/tex]

Step-by-step explanation:

Given

[tex]Countries = 50[/tex] ------ at least

[tex]Yearly =5[/tex]

Required

Represent as an inequality

"at least" means [tex]\geq[/tex]

So the countries he has visited can be represented as thus;

[tex]Countries \geq 50[/tex]

If

1 year = 5 countries

y years would be 5y countries

So, in y years; he'd have visited

[tex]Countries \geq 50 + 5y[/tex]

To determine the value of y.

We have that

[tex]Countries = 195[/tex] in the world

Substitute 195 for Countries

[tex]195 \geq 50 + 5y[/tex]

Collect Like Terms

[tex]195 - 50 \geq 5y[/tex]

[tex]145 \geq 5y[/tex]

Divide through by 5

[tex]145/5 \geq y[/tex]

[tex]29 \geq y[/tex]

Reorder

[tex]y \leq 29[/tex]

This means that; he'll visit all countries in at most 29 years' time

25 POINTS what is the domain of the quadratic function graphed below?

a. all real numbers
b. x>=2
c. x>3
d. y=(0,8)

Answers

Answer:

A or D i tink

Step-by-step explanation:

becuz i tink b and c is not to me

Answer: (a) all real numbers

Step-by-step explanation:

The arrows mean that the line continues for infinity, so the x continues to change for infinity.

Can anyone do this question? ​

Answers

Answer:

its simple 5.90

Step-by-step explanation:

Name the slope of a line parallel to y = -3x -2

Answers

y=-3x for two slopes to be parallel they have to have the same slope but different y intercepts

I need help fast I’m timed!

Answers

Answer:

-5

Step-by-step explanation:

A carpenter has less than 120 minutes to spend painting furniture each day. Today, he has spent 30.5 minutes painting a desk. Now he will paint x chairs, each of which takes 12.5 minutes. What is the maximum number of chairs the carpenter can paint?

Answers

Answer:

Maximum number of chairs is 7.

Step-by-step explanation:

We are told he has less than 120 minutes to spend painting furniture each day.

Now he has spent 30.5 minutes painting a desk.

Also, he wants to paint "x" number of chairs with each chair taking 12.5 minutes.

Thus, we have;

30.5 + 12.5x < 120

Subtract 30.5 from both sides to get;

12.5x < 120 - 30.5

12.5x < 89.5

x < 89.5/12.5

x < 7.16

Thus, maximum number of chairs he can paint is 7

A store is marking down the price of a television 25% from the original price of $250 which expression can be used to find the markdown price

Answers

Answer:

62.5%

Step-by-step explanation:

Thw price markdown will be 62.5%

Answer a I think

Step-by-step explanation:

Consider the graph of the sixth degree polynomial f. Replace the values b, c and d to write function f.

f(x) = (x-b)(x-c)^2(x-d)^3

Answers

Answer:

f(x) = (x - 2)(x + 1)²(x - 4)³

Step-by-step explanation:

Multiplicity of a polynomial:

1). If the multiplicity is odd, the graph will cross the x-axis at that zero.

2). If the multiplicity is even, the graph will touch the x-axis at that zero.

Since the given graph is just touching the x-axis at x = -1 multiplicity for the zero (at x = -1) will be even.

Similarly, graph is crossing the x-axis at x = 2 and x = 4, multiplicity for the zero will be odd.

So, the function will be,

f(x) = (x - 2)(x + 1)²(x - 4)³

Answer:Answer : f(x)= (x-1)(x+1)^2(x-4)^3

Step-by-step explanation:

Part D
Compare your answers in parts B and C. Did your predictions for the coordinates of the reflected images match the actual results? Why or why

Answers

Answer/Step-by-step explanation:

Yes, it did because the coordinates of the other polygons would be a direct opposite of polygon ABCD depending on what line it reflects off of. If it reflects off of the y-axis then they would be the same coordinates, just that the X values of the coordinates would now be positive, for the reflection of the x-axis it is also the same except that now the x value would now stay negative while the y values would now be positive. For y=x, it is different because now the X, and Y place values now switch (for example, (-3,-2) would now be (-2,-3)). For y=-x, the place values would both switch, and now be positive.

PS;  PLATO does not have an answer this is my personal answer since I am also on this assignment.

Sorry if this response is late! Hope you did well! :)

The coordinates of the reflected images match the actual results because of the following reason.

What is coordinate?

Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane. A coordinate plane has four quadrants and two axes: the x axis (horizontal) and y axis (vertical).

Yes, because the coordinates of the other polygons will be in opposite of polygon ABCD depends on what line it reflects off .

Suppose if it reflects off of on the y-axis then the coordinates will be same, only the x- coordinate will be positive.

and if the reflection of the x-axis, the coordinate will be same only the y- coordinate will be negative and the x- coordinate remain positive.

but, For y=x it is different because now the both the x- coordinate and the y- coordinate will be switched with their sign.

Learn more about coordinate here:

https://brainly.com/question/15300200

#SPJ2

03.02) If g(x) = x2 + 2, find g(3). (2 points) 9 8 11 6 4. (03.02) If g(x) = 2(x − 4), find the value of x if g(x) = 20. (2 points) 32 12 14 10 5. (03.02) Michelle rents a movie for a flat fee of $1.50 plus an additional $1.25 for each night she keeps the movie. Choose the cost function that represents this scenario if x equals the number of nights Michelle has the movie. (2 points) c(x) = 1.50 + 1.25x c(x) = 1.50x + 1.25 c(x) = 2.75 c(x) = (1.50 + 1.25)x 6. (03.02) Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(150)? (2 points) This is the average number of days the house stayed on the market before being sold for $150,000. The house sold on the market for $150,000 and stayed on the market for an average of 150 days before being sold. The house sold for $150,000. The house stayed on the market for an average of 150 days before being sold.

Answers

Answer:

slipknot is the answer to all your problems

Step-by-step explanation:

there is no explanation

they only said simplify and i guessed the answer as undefined

Answers

I think it is B but I’m not sure
Other Questions
~PLEASE HELP ME~The warming of the atmosphere by the trapping of heat being radiated to space is calleda)condensation b)evaporationc)the greenhouse effect d)radiation Name and describe the five types of active transport systems. 15 men can dig a ditch in 10 days, how many dayWill 10men take working at the same rate Bella invested $1000 this past year and earned $110 in interest. Bella's investment portfolio was made up of two items: stocks, which earned 15% interest, and bonds, which earned 7% interest. How much money, in dollars, did Bella invest in stocks this year? Enter your answer as a number with two decimal places. the ability for a substance to rust is a. oxidationb.rustabilityc.magnetic attractiond.reactivity In a recent survey, 4 out of every 9 people surveyed said they did not like the movie. How many people would you expect to say they did not like the movie if 100 people were surveyed? In her last two years in college, Marlene received $42,000 in loans. The first year, she received a loan that was $6,000 less than three times the amount of the second year's loan. Call the amount that Marlene received her first year f and the amount she received in her second year s. By ____, Wyoming, Colorado, Utah, and Idaho had granted suffrage to women.A) 1894B) 1895C) 1893D) 1897E) 1896 Who can translate the following poem from English to German?I give you light, you give me purpose,I fathom your delighted soul,You are the only thing that keeps me awake,In which is a feeling I can't let go. Bicycling by young women has helped to swell the ranks of reckless girls who finally drift into the standing army of outcast women of the United States," wrote Smith in a resolution issued by her group, the Women's Rescue League. Which best describes Charlotte Smith's viewpoint? Women should not cycle until they are older. Women should learn to cycle properly. Women should avoid cycling. Women should cycle only as a hobby. A plastic block of dimensions 2.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0 g. What is its density? Write 3 in factor form. ------- 43 3 3 33 4 = 124 4 44 4 4 4 Whats the height of the building if it 77% of 596 Find the slope of the line. REMEMBER: Slopes must be simplified. Topic: Pulse and RespirationsWhat is pulse and respiration in-depth?Whats Normal: Rates/ Characteristics/ Medical Terminology Which is one of the purposes that technology serves in science?O It illustrates complex systems.It helps create new science problems.It assists in data collection.O It simplifies representations of real objects. What is 12% of 504 please let me know The English bill of rights influence the American colonies by what A survey showed that 82% of kids play video games at home. What fraction of kids play video games at home? What contributed the development of Greek and Roman mythology