Mathematics Middle School

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The pentagon ABCDE is graphed on a coordinate plane with vertices A(0, 0), B(3, 5), C(3, 8), D(8, 5), and E(8, 0). What is the pentagon's area?

Answers

Answer 1

Answer:

The answer is- 40

Step-by-step explanation:

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Answer 2

The area of the pentagon represented here is 40 units².

What is Area?

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given that the coordinates of the vertices of the pentagon given are A(0, 0), B(3, 5), C(3, 8), D(8, 5), and E(8, 0).

We have to find the area.

This pentagon can be divided in to triangle CBD and trapezium ABDE.

Find the area of each to find the total area of the pentagon.

Area of ΔCBD = [tex]\frac{1}{2}[/tex] × BD × CB

Using the distance formula,

BD = [tex]\sqrt{(8-3)^2+(5-5)^2}[/tex] = 5

CB = [tex]\sqrt{(3-3)^2+(5-8)^2}[/tex] = 3

Area of ΔCBD = [tex]\frac{1}{2}[/tex] × 5 × 3 = 7.5

Area of trapezium ABDE = [tex]\frac{1}{2}[/tex] × (AE + BD) × DE

Using the distance formula,

AE = 8, BD = 5 and DE = 5

Area of trapezium ABDE = [tex]\frac{1}{2}[/tex] × (8 + 5)5 = 32.5

Total area of the pentagon = 7.5 + 32.5 = 40 units²

Hence the total area is 40 units².

Learn more about Area here :

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Related Questions

HELP!!!
write the following in algebraic expressions:

Answers

Step-by-step explanation:

Here is the answer for the unkown n(k+m)

Answer:

n*(k+m)

Step-by-step explanation:

Triangle ABC and it's transformation Triangle A'B'C are shown describe the transformation.​

Answers

They both are congruent

uhh please help 4 spring break hamwork math btwww

Answers

Answer:

60x + 42y

Step-by-step explanation:

6(10x + 7y)

Use distribute property and multiply 6 to everything inside the parenthesis:

6 x 10x = 60x

6 x 7y = 42y

SO, 60x + 42y is the correct answer

Answer:

60x + 42y

Step-by-step explanation:

can someone please help me with thus

Answers

Your answer is 15.

Area of a triangle: base divided by 2 multiplied by height

6/2=3
3x5=15

Answer:

I believe the answer is 15.

Step-by-step explanation:

The picture represents a final step used in...

constructing a perpendicular bisector
constructing congruent angles
constructing angle bisectors
constructing a congruent segment

Answers

Answer: congruent segment

Step-by-step explanation: it is the same segment on a different radius of a circle

The picture represents a final step used in constructing a congruent segment. The correct option is D.

What is congruency?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.

In the given two figures the two angles are drawn. From the first angle, the measure of the second image is drawn. In the final step of the construction, the scale is used to draw the segment of the line of exact same length as the previous image. So it is a congruent segment of the line.

Therefore, the picture represents a final step used in constructing a congruent segment. The correct option is D.

To know more about congruency follow

brainly.com/question/2938476

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aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

Answer is A.) 3

Step-by-step explanation:

You substitute 8 for n and complete the rest of the operation

8-5=3

Answer:

Your answer will be A). # because 8-5=3

Step-by-step explanation:

:-)

help me with this problem

what is

0.96÷10 with the power of 4

Answers

Answer:

0.00008493465

Step-by-step explanation:

This is your answer.

Answer:

10 to the power of 4 equals to 10,000

so it would be 0.96 ÷ 10,000

which would be

0.000096

take what you will have a nice day <:

One batch of cookies requires two eggs and two and a half cups of flour. How many cups of flour are needed to make three and a half batches of cookies? Write and solve a proportion.

Answers

Answer:

multiply 2 1/2 and 3 1/2

Step-by-step explanation: :)

Answer:

im hungry now.

Step-by-step explanation:

Ravi has bought 18 pounds of dog food. He feeds his dog 2/3 pounds for each meal. For how many meals will the food last?

Write you anwer in the simplest form.

Answers

The answer will be 27 meals because if one meal costs only 2/3 pound and he already has 18 it will fit 27 meals. I found the answer by diving 18 by 2/3

Answer:

I believe it's 6

Step-by-step explanation:

so so so soooooo sorry if it's wrong good luck! tho AGAIN sorry

Please help!!!!!!!!!!!!!! giving brainlist

Answers

a) 0
b)-300
c)-450

(I think)

Plsssssss help meeeeeee

Answers

1.

total surface area Stot = 20.4924225 cm2

lateral surface area Slat = 16.4924225 cm2

bottom surface area Sbot = 4 cm2

2.

total surface area Stot = 46.1079506 ft2

lateral surface area Slat = 37.1079506 ft2

bottom surface area Sbot = 9 ft2

3.

total surface area Stot = 95.0467761 ft2

lateral surface area Slat = 68.0067761 ft2

bottom surface area Sbot = 27.04 ft2

What the first dude said

Which letter on the number line represents 4.55?
F

E

D

C

Answers

Answer:

F

Step-by-step explanation:

F IS THE CORRECT ANSWER

Gi sells televisions. He earns a fixed amount for each television and an additional $25 if the
buyer gets an extended warranty. If Gi sells 19 televisions with extended warranties, he earns
$1,995. How much is the fixed amount Gi earns for each television?
The fixed amount Gi earns for each television he sells is $__?

Answers

Answer:

$80 per T.V.

Step-by-step explanation:

First you want to multiply 25 by 19, the amount of televisions sold with an extended warranty.

Next you want to subtract that amount from the total earnings, this way you can find out the amount he earned in total from selling 19 televisions without their warranty.

After that divide that number by 19 to find out how much each television was worth each.

Four triangles are shown. Based on these triangles, which statement is true?

Answers

Answer:

First one

Step-by-step explanation:

100+30=130 That is the rule for finding w

And z=50

Answer: the first one

Step-by-step explanation:

Please answer you will get 10 points.

Answers

Answer:

your answer will be 126

Step-by-step explanation:

8x+78=2x+114

8x-2x=114-78

6x=36

x=36/6=6

<B=2(6)+114

= 126

the answer will be 126 umm

whats with these random people always answering with "cutlnk.ml/0tj3C" pls ‍♂️

Answers

i dunno why i dont click the links since they are kinda sus and also why doesn't brainly just ban the cutlink

Hello!

I need help please...

What is [tex]\sqrt[450]{3,650}[/tex] as a divided.

Make a explanation to this... Do not copy, or go on g.oogle to get the answer to this...

And maybe you can show proof how you got the answer?

Thanks~

Answers

Answer: The Answer is in a fraction form

Step-by-step explanation:

9/73

It is in a fraction form

10 + 20 + 40 + 30 +60 + 70 + 50 + 90 + 80 + 20 =

Answers

Answer:

470

Step-by-step explanation: ...

A rectangular city lot has an area of 1,000 square meters. If the length of the lot is 10 meters more than twice its width, find the length and width. Write the quadratic equation.
PLS I NEED THIS FOR AN RA

Answers

Answer:y=20

Step-by-step explanation:

Answer:100

Step-by-step explanation:

Attachment Below: Please help!

Answers

Answer:

diagram a has a slope of 4

diagram b has a slope of 1/4

diagram c has a slope of -1/4

Step-by-step explanation:

have a great day :D

a: 1
b: 1/4
c: -1/4
blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah

Kevin is taking a taxi from the airport to his home. There is a $6 fee for riding in the taxi. In
addition, Kevin must also pay $1 per mile.
Write an equation where m is the number of miles and t is the total cost in dollars of the
taxi ride.

Answers

6+1m= t. That’s the equation for the problem.
1m+6=t

Explanation: 6 is the base number which does not add up as you go on, and the 1m is the miles and every mile he goes, 1 more gets added up and how ever many miles he goes plus 6 is your answer

Simplify the expressions by combining like terms

-3d + 8d - 5d

Answers

Answer:

-3d - 3d

i think because 8d and 5d are like terms

or.. -3d +8d -5d= 0

y=3x+14
2x-3y=-14
Substitution method

Answers

Answer:

x = -8

Step-by-step explanation:

y = 3x + 14

2x - 3y = -14

So, what is the substitution? Y of course, this is because y is equal to 3x + 14.

2x - 3 (3x + 14) = -14

Multiply 3 with the numbers in the parentheses.

2x - 9x + 42 = -14

So you maybe be wondering why it is a negative 7 instead of subtracting 9 with 2. Using PEMDAS, we always read from left to right. So it is basically 2 -9 and you get -7.

-7x + 42 = -14

Then subtract 42 from both sides.

-7x + 42 - 42 = -14 - 42

Simplify

-7x = -56

Divide 7 by both sides.

-7x / 7 = -56 / 7

x = -8

And you might ask, why we get x instead afterwards. This is because both -7 and 7 cancel each other out leaving us with x.

X=-8






I know it’s that so it’s does not need a explanation

help wit 3 and 4 for brainliest

Answers

Answer:

Answer for num.4 is B

For number 3 the the rate of change for function A is 10

The rate of change for function B is -5

and the highest function is Function A!

Have a great day!!! < 3

Step-by-step explanation:

anyone wanna help me w/ a prank?
ok so you have to have rob lox (my friend who i'm pranking has it so yea)
basically i need someone to fake replace her and pretend i replaced her, shes always been afraid of that.
Dw ill text her right after that it was a prank lol.

Answers

I’ll help you! (It says I need 20 letters so just ignore this part)

Answer:

um sure but first 8/16 simplified to 1/2

Step-by-step explanation: ddon't mind the equation

Brandi has equal numbers of hip-hop songs and country songs loaded on her personal music player. She has it set to play songs on a random shuffle. Suppose Brandl is designing a simulation that could be used to estimate the probability that the next three songs to play are all hip-hop songs Which simulation design could Brandi use to estimate the probability?


A. Coin Let heads (H) = hip-hop Let tails (T) = country Toss coin three times. Repeat

B. Random digits Let 0.1phop Let 2.3.4.5.6 = country Select two random digits Repeat

C. Number cube Let 1 = hip-hop Let 2 = country Roll cube three times Repeat

D. Nurbe cube let 1 = hip-hop let 2 = country Roll cube four times. Report​

Answers

The answer to this is C.

PLEASE HELP I GIVE BRAINLIEST I NEED IT ASAP

Answers

Answer:

D 13

Step-by-step explanation:  L+L+W+W=Perimeter

2(1/4x)+2(2x+1)=4.5x+2            

4.5x+2=29        Subtract 2

4.5x=27             Divide by 4.5

x=6                                                            1/4(6)= 1.5 W=1.5      1.5(2)=3

                                                                 2(6)+1=13                  13(2)=26

                                                                                   26+3=29inches perimeter

Answer:

A: 12 4/9

Step-by-step explanation:

1/4x (2x + 1) = 29 (Combine like terms, NOT distributive property!!!)

   2 1/4x + 1 = 29

               - 1    - 1

2 1/4 / 2 1/4x = 28 / 2 1/4

                  x = 12 4/9

Juan works for an agricultural company and is studying the growth of two different types of corn. The table above shows the growth of each type of corn in inches for each month. Compare the centers for both types of corn.

Answers

Answer:

bvghvghvgv

Step-by-step explanation:

bhjbbjuhkbhjbjhu

What is the circumference of a 12 inch diameter pizza answer in terms of pi

Answers

Answer: 37.69911 in. (Round if necessary)

Steps:
2πr
2·π·6 = 37.69911


all you need to do is multiply it by Pi and then the radius by 2 to be the circumference. around 37

A grandfather clock was originally priced at $350 but went on sale for 80% off. If Elizabeth bought the grandfather clock and paid 10% sales tax, how much did she pay in total?

Answers

Answer:

105

Step-by-step explanation:

Answer:

$77

Step-by-step explanation:

80% of 350 is 280

it is $280 off so 350-280=70

then the tax, 10% of 70 which is 7

the answer is $77 because 70+7=77

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