Mathematics High School

Line segment BD divides trapezoid ABCE into a rectangle and a right
triangle as shown. What is the perimeter of the trapezoid?

Line Segment BD Divides Trapezoid ABCE Into A Rectangle And A Righttriangle As Shown. What Is The Perimeter

Answers

Answer 1
Answer:  96 units

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Explanation:

Since ABDE is a rectangle, the opposite sides AE and BD are the same length. This makes BD = 24. Similarly, ED = 20 since AB = 20.

Focus on triangle BCD. Let x be the length of segment CD. We can use the pythagorean theorem to find x

a^2 + b^2 = c^2

(BD)^2 + (CD)^2 = (BC)^2

24^2 + x^2 = 25^2

576 + x^2 = 625

x^2 = 625 - 576

x^2 = 49

x = sqrt(49)

x = 7

Segment CD is 7 units long.

Since ED = 20, this means,

EC = ED + DC

EC = 20 + 7

EC = 27

The perimeter of this trapezoid is

P = sum of all exterior sides

P = AB+BC+CE+EA

P = 20+25+27+24

P = 96 units

Note that we didn't add in side BD as part of the perimeter because it is not an exterior side. Think of sides AB, BC, CE, and AE as outer walls of the house while BD is an interior wall. The perimeter is only worried about the outer walls.

Answer 2

96

Explanation:

Since ABDE is a rectangle, the opposite sides AE and BD are the same length. This makes BD = 24. Similarly, ED = 20 since AB = 20.

Focus on triangle BCD. Let x be the length of segment CD. We can use the pythagorean theorem to find x

576 + x^2 = 625

x^2 = 625 - 576

x^2 = 49

x = sqrt(49)

x = 7

Segment CD is 7 units long.

Since ED = 20, this means,

EC = ED + DC

EC = 20 + 7

EC = 27

The perimeter of this trapezoid is

P = sum of all exterior sides

P = AB+BC+CE+EA

P = 20+25+27+24

P = 96 units

Related Questions

who is correct Alex or sophia and why?​

Answers

Answer:

alex

Step-by-step explanation:

Sophia is correct !!!!!!!!

A woman has 31 coins in her pocket, all of which are dimes and quarters. If the total value of the coins is $ 5.65, how many dimes and how many quarters does she have?

Answers

Answer:

14 dimes and 17 quarters

Step-by-step explanation:

d and q are the number of dimes and quarters, respectively.

"31 coins, all of which are dimes and quarters."

d+q = 31

d = 31-q

"the value of the coins is $5.65"

0.10d + 0.25q = 5.65

substitution

0.10(31-q) + 0.25q = 5.65

3.10-0.10q + 0.25q = 5.65

0.15q = 2.55

q = 17

d = 31-q = 14

14 dimes and 17 quarters

Find the slope of the line that passes through: (2, 4) and (6, 12)

Answers

First you do 12-4= 8 then 6-2=4 so it is 8/4 then you simplify which is 2. So your slope is 2.

Answer: i dont know the answer bc i dont have the graph.

Step-by-step explanation:

but if you follow the line they should give you to in between

the two points you should find the answer. i hope this helped some what.

Jocelyn needs to write a 12-page paper for class. If she has already written 4 pages and can write 2 more pages per day, how many days will it take her to finish her paper?

Answers

Answer:

5 days

Step-by-step explanation:

skip counting

4, 6, 8, 10, 12 then count those and you have 5 days

Can someone PLEASEEEEEEE tell me 5 ways to solve -2x<10 ?

Answers

Answer:

Divide each term by −2 and simplify.

Inequality Form:

x>−5

Interval Notation:

(−5,∞)

Isolate the variable by dividing each side by factors that don't contain the variable.

what is 2 2/3 dived by 1 1/4 equal

Answers

22 1/2)/(1/4)=?

22 1/2= 23/2

then we get:

(23/2)/(1/4)=?

we can flip the 1/4 to 4/1 and multiply instead of dividing so we get:

(23/2)X(4/1)=?

multiply numerators and denominators:

(23/2)X(4/1)=92/2

simify:

=46

80 YTL para Ahmet ve Murat Sirasiyla 3 ve 5 ile dogru
orantı olarak paylastiniyor. Buna göre, yapılan paylaşımda, murat
Ahmet ten Kaç YTL dağa fazla para alir ?
A 16
B-20
C 24
D. 32​

Answers

sen Türksün be ne işin var senin burada

I think is c 24 I don’t fully understand the question

Jess used
11 1/2 cups of flour to make 3 1 / 2
batches of oatmeal cookies. One batch makes 24 cookies.
If Jess follows the same recipe, about how many cookies can she make with 16 1/2 cups of flour ?

A- 30

B- 120

C-200

D-380

Answers

Answer:

Step-by-step explanation:

C

Write an equation of the linear relationship in slope-intercept form. I need help on this question, I don’t know if it’s 3/2x+80/3 or 2/3x+80/3

Answers

Answer:

2/3x

Step-by-step explanation:

What is the output of this function when the input is -2?

Answers

Is there a table? Where is the table?

I need help please❤️❤️❤️❤️

Answers

Answer:

x = 5

Step-by-step explanation:

the supplementary angle of (19x-18) = 180 - (19x-18) = 198-19x

all interior angles of a triangle = 180 degrees

180 = (7x+1) + (10x-9) + (198-19x)

180 = 7x+10X-19x+1-9+198

180 = -2x+190

-2x = -10

x = 5

what is the sum 0 of -1​

Answers

Answer:

If you mean 0 + (-1) then it's -1




help plz I dont remember how to solve these

Answers

Answer:

uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

12.56 inches²

Step-by-step explanation:

Area = π × r²

A = π × 2²

A = π × 4

A = 4(3.14)

A = 12.56

Write an equation for the nth term of the geometric sequence 5,30,180,1080

Answers

Answer: [tex]a_{n}[/tex]=5*[tex]6^{n-1}[/tex]

Step-by-step explanation:

Find the value of x in 4000(1.5^x) = 25,000. Show your work.

Answers

Answer:

4.17

Step-by-step explanation:

6000x = 25000

x = 25000 / 6000

x = 4.17

Suhana's father is a farmer. He deposits Rs.1200 of the remaining amount in the bank at 9% p.a. for 3 yrs
Calculate the amount the farmer will receive at the end of 3 yrs

Answers

Answer:

Given :principle =Rs. 1200

rate of interest =9%

time =3yrs

we know that simple interest =PTR /100

=1200*9*3/100

=Rs. 324

Amount of the farmer will receive at the end of the 3 yrs =principle + interest

=1200+324=1524/-

Andy is buying a car.
He negotiated a 7% decrease on a £6 500 car.
He will pay the full balance in 12 equal monthly payments.
Calculate the amount paid each month.

Answers

Answer:

£503.75

Step-by-step explanation:

Andy is buying a car.

Step 1

We calculate the decrease

He negotiated a 7% decrease on a £6 500 car.

Decrease = 7% × £6500

= $455

Step 2

We calculate the new price of the car.

= Old price - Decrease

= £6500 - £455

= £6045

Step 3

We calculate the amount he pays every month.

We are told that:

He will pay the full balance in 12 equal monthly payments.

Andy's monthly payments =

New price/12 months

= £6045/12

= £503.75

Therefore, the amount he would be paying each new month = £503.75

19/24 as a decimal rounded to the nearest hundreths

Answers

Answer:

0.79

Step-by-step explanation:

19 / 24 is 0.79166667

So it's 0.79

Answer:

0.79

Step-by-step explanation:

Seth missed the due date for his credit card payment. His credit card company will
charge him $20 and an APR of 27%. What is the amount of interest he would have to
pay at the 27% APR?

Answers

20 x 1.27 = 25.4
so 27% APR will put him up to $25.4

simplify (12a5 − 6a − 10a3) − (10a − 2a5 − 14a4)

Answers

Answer: 14a^5+14a^4-10a^3-16a

Step-by-step explanation: sorry if it confusing but ^3 as an example is supposed to be the mini number that goes on top of that number.

-hope this helps

(1,5) (-1, 1) translation​

Answers

Creo q esta es la correcta

Use the diagram and the information given to find the indicated measure:

1. ZX is the perpendicular axis of WY, yYZ = 13.75. Find the value of WZ.

2. ZX is the perpendicular axis of WY,

WZ = 4n − 13, and YZ = n + 17. Find the value of

AND Z.

3. Find the value of WX when

W Z = 20.5, W Y = 14.8, and Y Z = 20.5

Answers

the answer is 18ZX - 13

Help me plssssss!!!!!

Answers

Answer:

si yo lo sé tú también cierto

what is 33493.33333 rounded to the nearest tenth?​

Answers

Answer:

33493.33

Step-by-step explanation:

What is the area of the figure, use 3.14 for π

Answers

Answer: Area of a square is a².

4² = 16

Now find the area of the semicircle.

(πr²)/2

(3.14)(2)²/2

12.56/2

6.28

Now add the areas to find the total area.

6.28 + 16 = 22.28

Hope this helps :)

Step-by-step explanation:

the area is going to be 22.28 !

Park Jimin paid $125 to have his hair colored and cut. If he tips his hairdresser 15% of his bill, how much was the tip?​

Answers

Money paid by Park Jimin = $125

We need to find the tip , so,

→ 15% of the amount paid

→ $ 125 (15/100)

→ $ 18.75

Hence, the tip is of $ 18.75

Answer:

Jiminie paid 18.75

Step-by-step explanation:

x 1 у 3 4 6. 516
What is R​

Answers

Answer:

the question is not correct. please rewrite the question.

What is the first step when multiplying mixed numbers.

Answers

Answer:

To multiply mixed numbers, first change any mixed number to an improper fraction. Then multiply the numerators together and the denominators together, as shown in Example .

Step-by-step explanation:

Which math expression means "an unknown number divided by 180"?
A. X. 180
B. X = 180
C. X- 180
D. x + 180


Helppp

Answers

Answer:

The answer should be, x ÷ 180 or [tex]\frac{x}{180}[/tex]

good luck, i hope this helps :)

x/180 would be the correct answer

The Perimeter of the stop sign is 261.6 centimeters. What is the side length x

Answers

261.6 divided by 8 is 32.7
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