Quadrilateral DEFG has vertices at D(6,1), E(2,4), F(-5,4) and G(-1,1). What is the area of the quadrilateral?

Answers

Answer 1

Answer:

Area of the quadilateral = 35 square units.

Step-by-step explanation:

The coordinates of the quadilateral DEFG are given as

D(6,1), E(2,4), F(-5,4) and G(-1,1).

To obtain the area, we need the length of each of the quadilateral's sides.

The length of each side is the distance between the coordinates given.

The distance between two coordinates (x₁, y₁) and (x₂, y₂) is given as

d = √[(y₁ - y₂)² + (x₁ - x₂)²]

The lengths of the quadilateral's sides include DE, EF, FG and GD

DE = distance between D(6,1) and E(2,4)

DE = √[(1 - 4)² + (6 - 2)²]

DE = √(9 + 16) = 5 units

EF = distance between E(2,4) and F(-5,4)

EF = √[(4 - 4)² + (2 - -5)²]

EF = √(0 + 49) = 7 units

FG = distance between F(-5,4) and G(-1,1).

FG = √[(1 - 4)² + (-1 - -5)²]

FG = √(9 + 16) = 5 units

GD = distance between G(-1,1) and D(6,1)

DE = √[(1 - 1)² + (-1 - 6)²]

DE = √(0 + 49) = 7 units

The dimensions of the quadilateral show that it is a rectangle.

The area of a rectangle = (length) × (width)

Length = 7 units

Width = 5 units

Area of the quadilateral = 7 × 5 = 35 square units.

Hope this Helps!!!

Answer 2

Answer: actually that one might be wrong bc for the area I got 15 and for perimeter I got 16.32

And if you plot it, it makes a trapezoid and that’s not the formula for a trapezoid it’s

A= (base 1 + base 2 divided by 2) * height

P= a+b1+c+b2

Step-by-step explanation:


Related Questions

NEED ANSWER ASAP
For the function
f(x) = |x|-2, find the value when x = -3

Answers

Answer:

1

Step-by-step explanation:

The absolute value of -3 is just 3, because it has a distance of 3 away from 0. Therefore, [tex]\mid -3 \mid -2=3-2=1[/tex]. Hope this helps!

6 x 10 to the power of -2 is how many times as large as 2 x 10 to the power of -8. PLEASE RESPOND QUICK

Answers

Answer:

False

Step-by-step explanation:

The left side 0.06 does not equal to the right side 0, which means that the given statement is false.

hey can anyone pls help me out in dis pls i will mark u as brainliest!!!!! and i will give 30 points

Answers

Answer:

graph b because its a parabola

Step-by-step explanation:

Answer:

Graph B does not belong

Step-by-step explanation:

All the other graphs are linear inequalities, whereas graph B is a quadratic inequality. You can also tell by how they look. The straight lines are linear, and the symmetric curve (parabola) is a quadratic

Duffy completed a 50-meter dash in 36 seconds. That was 90 percent of the time it took Paul to complete it. What was Paul's time?
42 seconds
38 seconds
40 seconds
36 seconds

Answers

Answer:

40 seconds

Step-by-step explanation

Solve the quadratic by factoring.
x2 - 4x = -4x + 4

Answers

Answer:

x=2 or x=-2

Step-by-step explanation:

ax^2+bx+c=0

first we rearrange this equation so we get x^2+(-4+4)x-4=0 so its x^2-4=0 so that means b=0 now we should find two numbers that when we multiply them we get c and when we subtract them we get b so that two numbers are 2 and -2

Which of the following situations is not an example of financial responsibility? Select all that apply.
(there is more than one answer)
A.pay with cash instead of a credit card
B.making payments on time
C.not sticking to a set budget
D.spending all of your paycheck
E.using coupons when you can

Answers

Answer:

C.not sticking to a set budget

D.spending all of your paycheck

Step-by-step explanation:

The situations which are not an example of financial responsibility are C. not sticking to a set budget and D. spending all of your paychecks.

Given are some situations in the options.

It is required to find those which are included in the financial responsibility.

Financial responsibility can be defined as the responsibility of a person who uses finances responsibly without spending too much or dealing with finance carelessly.

A) pay with cash instead of a credit card

This is something a responsible person does, who will not use a credit card until urgency came.

B) making payments on time

A financially responsible person will make payments on time. I not, the person will be affected by future bulk payments which will be very difficult then.

C) not sticking to a set budget

A financially irresponsible person will not stick to a budget and spends so much carelessly.

D) spending all of your paycheck

If a person is financially responsible, the person will not spend ll paychecks, since some will go to savings.

E) using coupons when you can

Using coupons when you can is a good thing in the case of finance since it will save money.

Hence the correct options are C and D.

Learn more about Financial Responsibility here :

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A circular rug has the radius of 4 feet. Which of the following is closest to the number of square inches the rug covers.

A. 55.26 ft2

B. 50.24 ft2

C. 29.7 ft2

D. 33.6 ft2

Answers

Answer:

B. 50.24ft

Step-by-step explanation:

A=(pie)r^2

A=3.14(4)^2

A=3.14 * 16

A=50.27

Closest to 50.24

Today, there were 2 members absent from the band. The present members folded 25 programs each, for a total of 525 programs. How many members are in the band when no one is absent…

Answers

Answer:

23

Step-by-step explanation:

225/25 = 21

21+2=23

Answer:

How many members are in the band when no one is absent?

the answer is c if you are refering to the khan academy question

Step-by-step explanation:

its from khan academy

Phoebe built the sandbox below for her younger sister.
2 feet
4 feet
5 feet
What is the volume of the sandbox?

Answers

I think its 40ft i hope it helps

Answer: 40 feet

Step-by-step explanation:  Volume = length * width * height

then substitute Volume = 2 * 4 * 5

multiply Volume = 8 * 5

multiply again Volume = 40

hope this helps mark me brainliest if it did have a great day

How many solutions does this equation have?

–8 + t = –t + 10

Answers

Answer:

One

Step-by-step explanation:

Since (1) is the highest exponent value, there can only be one solution.

IF t^2 then there would be two answers.

Answer:

One solution

Step-by-step explanation:

To find the amount of solutions, you must solve first:

-8 + t = -t + 10

First, add t to both sides:

-8 + 2t = 10

Add 8 to both sides:

2t = 18

Divide both sides by 2:

t = 9

Since there has been a solution to this equation, that means there's only one solution.

Rosia ate 1/8 of a pizza. She then split the remainder of the pizza so she could share with her friend. What fraction of the pizza did they each take home?

Answers

Answer:

7/16

Step-by-step explanation:

A piepie is divided into 2020 equal pieces. GlennGlenn and SophieSophie each ate one fourth 1 4 of the piepie on MondayMonday. The next​ day, SophieSophie ate one fifth 1 5 of the piepie that was leftover. How many of the pieces of the original piepie ​remain? Explain your reasoning. ​Together, GlennGlenn and SophieSophie ate one fourth 1 4 ​piece(s) on MondayMonday​, and SophieSophie ate one fifth 1 5 ​piece(s) the next day. To find the number of pieces that​ remain, add these numbers to the total number of pieces.​ So, 0.450.45 pieces of the original piepie remain.

Answers

Answer:

Pieces remaining =  1 - (1/4 + 1/4) - (1/2 x1/5) = 1/2 - (1/2 x1/5) = 1/2 - 1/10 = 4/10

Therefore, 4/10 x 20 = 8 pieces.

Step-by-step explanation:

Sophie ate 1/4 = 5 pieces

Glenn ate 1/4 = 5 pieces

Remaining pieces = 20 - 5 - 5 = 10 pieces

On Monday, Sophie ate = 1/5 x 10 = 2 pieces

Therefore, remaining pieces = 10 - 2 pieces = 8 pieces

Sophie and Glenn consumed half of the pie the first day.  This is equal to 10 pieces.  The remaining pieces will be 10.  If, on Monday, Sophie ate 1/5 of 10 pieces, representing 2 pieces, the number left over is 10 Minus 2, which equals 8 pieces.

Consider circle A in the diagram below where the m∠DCG=25∘ and mCF^=60∘ and prove that m∠EDF=55∘.

Given that m∠DCG=25∘, this angle intercepts arc DG^ which makes mDG^=_, this means that mED^=130∘ as EG^ is a diameter.

∠CED intercepts CFD^, which makes m∠CED=_.

∠ECD intercepts ED^ which makes m∠ECD=_.

∠CDF intercepts CF^ which is 60∘, making m∠CDF=30∘. Using the triangle sum theorem, m∠EDC=_, and using Angle addition postulate the m∠EDF=55∘.

Answers

Answer:

50, 90, 65, 25

Step-by-step explanation:

I dont know how to get to it that is why I searched it up :/

Luke bought three canvas boxes to store his papers. The canvas boxes have dimensions of 12 inches by 10 inches by 12 inches. What volume of itmes can be the three canva boxes hold?

Answers

Given Information:

Number of boxes = 3

Length of boxes = L = 12 inches

Width of boxes = W = 10 inches

Height of boxes = H = 12 inches

Required Information:

Volume of items boxes can hold = ?

Answer:

[tex]Volume = 4320 \: in^{3}[/tex]

Step-by-step explanation:

We are given that Luke bought 3 canvas boxes to store his papers.

We are also provided the dimensions of boxes.

We are asked to find out the volume of items that can be stored by these 3 canva boxes.

A canva box has shape of a rectangular prism and its volume is given by

[tex]Volume = L \times W \times H[/tex]

Where L is the length of the box, W is the width, and H is the height of box.

[tex]Volume = 12 \times 10 \times 12 \\\\Volume = 1440 \: in^{3}[/tex]

So the volume of 3 boxes is

[tex]Volume = 3\times 1440 \\\\Volume = 4320 \: in^{3}[/tex]

Therefore, the 3 canva boxes can store 4320 cubic inches of volume.

Answer:

D) 4,320

Step-by-step explanation:

What two whole number integers would the square root fall in between ?
√(44)
4 and 5
6 and 7
5 and 6
8 and 9

Answers

Answer:

It would fall between 6 and 7

Step-by-step explanation:

What is the slope of the line that passes through the points (-2, 7) and (2,-5)?
Write your answer in simplest form.​

Answers

Answer:

Denote that line: y = ax + b

Line passes (-2, 7) and (2,-5):

=> -2a + b =7

=>  2a + b = -5

Add both side of above equations:

=> 2b = 2

=> b = 1

=> a = (-5 - 1)/2 = -3

=> Slope a = -3

Hope this helps!

:)

This question is based on the equation of line. Therefore, the slope of the line is -3 that passes through the points (-2, 7) and (2,-5).

Given:

Points are (-2, 7) and (2,-5).

We need to calculate the slope of the line that passes through the points (-2, 7) and (2,-5).

According to the question,

As we know that, equation of line: y = mx +c

It is given that, line passes through points, (-2, 7) and (2,-5).

Now, putting this points in equation of line: y = mx +c.

We get,

=> -2m + c =7                                   ...(1)

=> 2m + c = -5                                ...(2)

Now, adding and solving above two equations,

We get, c = 1

Then, putting  the value of b= 1 in equation (1).

We get, m = -3.

Therefore, the slope of the line is -3 that passes through the points (-2, 7) and (2,-5).

For more details, prefer this link:

https://brainly.com/question/21511618

A card is picked at random from the following set. ​ ​What is P(9) ? Write your answer as a percentage in the box given below.

Answers

Answer:

25%

Step-by-step explanation:

The (not mentioned in the question) set is: 6 7 8 9.

There are 4 total outcomes and only 1 favorable outcome, then the probability to pick a 9 is:

P(9) = favorable outcome/total outcomes

P(9) = 1/4 = 0.25 or 0.25*100 = 25%

which of these numbers are prime 29,33,51,65,70

Answers

Answer:

29 and 51

Step-by-step explanation:

29 and 51 are prime because the only factors of them are the numbers themselves and 1.

29/1 = 29        51/1 = 51

The composite numbers are 33, 65, and 70 because they have more than one factor.

33/3 = 11     65/5 = 13  70/10 = 7

If this answer is correct, please make me Brainliest!

Answer please ?
Thanks

Answers

Answer:

one solution ... hope this helps

Answer: One solution.

The reason why it is one solution is because you need to figure out the commonality between the two lines. What does this mean? Well, we need to figure out a solution that would prove a link between the two.

We see that there is a point of intersection, and no other points. This means there is only ONE link between the two; one solution.

NEW: The point of intersection could be labeled x. We need a number that satisfies both equations, so there should be only one solution to satisfy both-x.

You could prove this using an equation, but you can already tell by looking at it. If you would like, I'll help you figure out the equation, it may make more sense.

Hope this helps you out! Feel free to ask questions!

What is the surface area of the square pyramid?

A net has a square base with side lengths of 2, and 4 triangles with heights of 3.


square units:

Answers

9514 1404 393

Answer:

  16 square units

Step-by-step explanation:

The area of the square base is ...

  A = s²

  A = 2² = 4

The area of each triangle is ...

  A = (1/2)bh

  A = (1/2)(2)(3) = 3

So, the area of the base and 4 triangles is ...

  total area = 4 + 4(3) = 16 . . . square units

Answer:

its 16

Step-by-step explanation:

what’s the solution

Answers

Answer:

We need more info

Step-by-step explanation:.

30 points! Fraction Equasion

Answers

Answer: -3.3

Step-by-step explanation:

Answer:

-3.3

Step-by-step explanation:

-2.3 - (4.5 - 3 1/2)

Change the fraction to a decimal)

-2.3 - (4.5 - 3.5)

Parentheses first

-2.3 - (1)

Subtract

-3.3

John made 2 quarts of juice for a school party. He said that he made 2/4 cup of juice. A. Explain John's mistake. B. How many cups of juice did John actually make?

Answers

Answer:

A. He thought 1 quart = 1/4 cup

B. actually made 8 cups of juice

Step-by-step explanation:

From conversion,

1 cup =1/4 quarts

A. John thought 1 quarts = 1/4 cup, which was his mistake

B. His 2/4 cups is actually

4*2 = 8 cups

ession r' - (3+2)
(3 + 2)2 for 2 = 4.

Answers

Answer:

Step-by-step explanation:

idk im aooy

You roll a number cube 20 times. Which scenario is least likely?

Answers

Answer:

you won't roll the same number 5 times

A school dedicated 50% of the courtyard area for students to start a garden. The students want to know how much of the 632-square-foot space they will be able to use.

Answers

Answer:70

Step-by-step explanation:

Answer:

this is SUPER late but it is 1/2 x 632

Step-by-step explanation:

Deja is training for a race on Saturday. On Sunday, she runs 1/6 of a mile. On Monday she runs 1/5 of a mile. On Tuesday she runs 1/4 of a mile. On Wednesday she runs 1/3 of a mile. On Thursday she runs 1/2 of a mile. Finally, on Friday, the day before the race, she runs a whole mile. If the length of the race is the same as the total distance Deja ran in preparation, how many miles is the race?

Answers

Answer:

49/20 miles or 2.45 miles

Step-by-step explanation:

LCM(1,2,3,4,5,6,)=60

10/60+12/60+15/60+20/60+30/60+60/60=147/60=49/60 or 2.45

Which of the following is the quotient of the rational expressions shown
below?

Answers

Answer :
A

Explanation:

3.64 divided by 60.5 ROUNDED plz answer!!!

Answers

Answer:

0.06

Step-by-step explanation:

Prodigy math i will mark you brainliest if you get it right

Answers

Answer:

8 and 2/8

Step-by-step explanation:

3 and 2/8 times 2 is 6 and 4/8 then u subtract that from 14 and 6/8

Answer:

1 is 18, and 2 is 36 brainliest

Step-by-step explanation:

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