Given: EL≅KP Prove: KE≅LP

Given: ELKP Prove: KELP

Answers

Answer 1

Answer:

See Below.

Step-by-step explanation:

We are given that:

[tex]EL\cong KP[/tex]

And we want to prove that:

[tex]KE\cong LP[/tex]

Congruent chords have congruent arcs. Therefore:

[tex]\stackrel{\frown}{EL}\, \cong \, \stackrel{\frown}{KP}[/tex]

Arc EL is the sum of Arcs LP and PE:

[tex]\stackrel{\frown}{EL}\,=\, \stackrel{\frown}{LP}+\stackrel{\frown}{PE}[/tex]

Likewise, Arc KP is the sum of Arcs KE and PE:

[tex]\stackrel{\frown}{KP}\, =\, \stackrel{\frown}{KE}+\stackrel{\frown}{PE}[/tex]

Since Arcs EL and KP are congruent:

[tex]\stackrel{\frown}{LP}+\stackrel{\frown}{PE}\, =\, \stackrel{\frown}{KE}+\stackrel{\frown}{PE}[/tex]

Subtraction Property of Equality:

[tex]\stackrel{\frown}{LP} \, \cong\, \stackrel{\frown}{KE}[/tex]

Congruent arcs have congruent chords. Therefore:

[tex]LP\cong KE[/tex]


Related Questions

One number is 60 more than another. If the larger number is divided by the smaller number, the quotient is 4.
What are the numbers?​

Answers

Answer:

80 and 20

Step-by-step explanation:

Let the 1st no. be 'x'.

2nd no. should be 'x + 60'.

If the larger no.(x + 60) is divided by the smaller number(x), the quotient is 4.

=> (x + 60)/x = 4

=> x + 60 = 4x

=> 60=4x-x

=> 60=3x

=> 60/3 = x

=> 20 = x

No. are x = 20 and x+60 = 20+60= 80

PLEASE HELP -2/3 divided by (-2/9)= A.-3/1 B.-1/3 C.1/3 D.3/1

Answers

The answer to your question would be D. 3/1

Add: 2 1/5 + 2 3/10 =​

Answers

the answer is 4 5/10 or 4 1/2 :)

Answer: The answer is 5 5/10 or 5 1/2

Step-by-step explanation:

2 1/5= 11/5

2 3/10= 23/10

11/5= 22/10

23/10 + 22/10 = 55/10 = 5 5/10 = 5 1/2

Directions: The triangles below are similar. Solve for X. Please show work

Answers

Answer:

x = 20

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

Thus, we have it that;

x/35 = 24/42

x = (35 * 24)/42

x = 20

consider the expression
2⁶/2³
what is the value of the expression?​
its urgent

Answers

The value of the expression is 8. I hope this helps!!!

What is the net area of the figure (please help!!!!)

Answers

Answer:

352 inches

Step-by-step explanation:

I did the math

MATH MATH MATH MATH HeLp

Answers

Answer:

B is the correct option dear .

Step-by-step explanation:

Good luck ^_^

Answer:

I think its B

Step-by-step explanation:

please help I need answer ASAP

Answers

10 and 2 im not sure if im right but sorry im dum----b

PLEASE HELP DUE TODAY SOVLE BOTH PLSSS
ANSWER AS SOON AS POSSIBLE (NO FILES NO LINKS)

Answers

Answer:

Step-by-step explanation:

93 percent because 13 of the20 is Doritos

Answer:

a) 60%

b) 65%

Step-by-step explanation:

a) 30 ÷ 50 × 100 = 0.6 × 100

= 60%

b) 13 ÷ 20 × 100 = 0.65 ×100

= 65%

Joanne has a rectangular kitchen that is 10 ft by 15 ft. She decides to increase the length and the width by the same amount (x) in order to have a new kitchen whose area is double the area of the original kitchen. How much should the length and the width increased by?

Answers

Answer:

NO

Step-by-step explanation:

!!!PLEASE ANSWER QUICK!!!
Student Harrison Anita Juan Krista

Description Harrison shared his video with 7 friends. His friends continued to share it, doubling the number of viewers each day. Anita shared her photo with 41 followers. Each of them shared it with 2 friends, doubling the number of viewers each day. Juan shared his post with 4 friends, who each shared it with 4 more friends. They continued sharing at the same rate. Krista shared her photo with 6 friends, who each shared it with 3 friends. This pattern continued.

Social Media Shares f(x) = 7(2)x

Day

0

1

2

Viewers

41

82

164 Juan shared his post with 4 friends, who each shared it with 4 more friends. They continued sharing at the same rate. f(x) = 6(3)x

State which two students you are studying so your instructor knows for whom each partner is responsible.

Provide an exponential function representing Anita's social media shares.

Provide an exponential function representing Juan's social media shares.

Using the functions for each student, predict how many shares each student's post will have received on Day 3 and then on Day 10. Justify your answers.

Based on your results, which student's post travels the fastest? How is this shown in the equation form of the functions?

If you had to choose, would you prefer a post with fewer friends initially but more shares or more friends initially but fewer shares? Does your partner agree or disagree? Can you think of reasons why more or fewer shares are preferable? Justify your answer with your calculations from previous questions.

Answers

Answer:

Anita: f(x)=42(2)^x. 3. Juan: f(x)=3^x. 4. Harrison: f(x)=5(2)^x = f(3)=5(2)^3=5(8)=40

Step-by-step explanation:

Answer:

Step-by-step explanation:

 

Make sure you are dealing with the same values in your directions.

1. State which two students you are studying so your instructor knows for whom each partner is responsible.  Harrison and Anita

2. Provide an exponential function representing Anita's social media shares.

f(x)= 41(2)^x

3. Provide an exponential function representing Juan's social media shares.

f(x)= 4^x

4. Using the functions for each student, predict how many shares each student's post will have received on Day 3 and then on Day 10. Justify your answers.

Harrison

f(x) =7(2)^x = f(3) = 7(2)^3 = 7(8) = 56

f(x) =7(2)^10 = f(10) = 7(2)^10 = 7(1024) = 7,168

Anita

f(x)= 41(2)^x = f(3) = 41(2)^3 = 41(8) = 328

f(x) =41(2)^10 = f(10) = 41(2)^10 = 41(1024) = 41,984

5. Based on your results, which student's post travels the fastest? How is this shown in the equation form of the functions?

Between students Harrison and Anita the post that travels the fastest was Anita at 41,984 posts.  

f(x) = 41(2)^10  

6. If you had to choose, would you prefer a post with fewer friends initially but more shares or more friends initially but fewer shares? Does your partner agree or disagree? Can you think of reasons why more or fewer shares are preferable? Justify your answer with your calculations from previous questions.

Fewer friends initially but more shares.  If you want a post to go viral you want more shares with more people. The post was viewed 41,984 times in 10 days.

This represents sharing with 2 friends for 3 days.

f(x)= 41(2)^x = f(3) = 41(2)^3 = 41(8) = 328

This represents sharing with 2 friends for 10 days.

f(x) =41(2)^10 = f(10) = 41(2)^10 = 41(1024) = 41,984

John saved up enough money to buy a $20 can of shoe shine after paying for the $150 pair of Nikes. How much money did he save in all?

Answers

Answer:

170$

Step-by-step explanation:

150+20=170

Answer:

Step-by-step explanation:

170

Simplify the expression
[tex]5( \frac{1}{5} x - 1)(5x - \frac{1}{5} )[/tex]

Answers

The answer is (25x-1) (x-5)/5

Helppppppp I’ll give you 10 pointssss plzzz

Answers

Answer:
$113.40
explanation:
TV = $180
40% = 40/100 = .4
$180 * .4 = $72
$180 - $72 = $108 is the sales price.
Sales tax
5% = 5/100 = .05
$108 * .05 = $5.40
$108 + $5.40 = $113.40
The TV costs $113.40 including tax, after the discount.
The answer is 113.14

What’s the answer? PLEASE ! NO LINKS. thanks !

Answers

Answer:

84 [tex]cm^{2}[/tex]

Step-by-step explanation:

find the area of each shape and add them together

A car is purchased for $30,000. The value of the car depreciates annually so that it is $24,000 after 1 year, $19,200 after 2 years, and $15,360 after 3 years. Why can this situation be modeled using an exponential function?
The value of the car depreciates annually by 20%.
The value of the car depreciates annually by 80%.
The value of the car depreciates annually by $6,000.
The value of the car depreciates annually by $4,800.

Answers

Answer:

It annually drops by 20%

Step-by-step explanation:

30,000 multiplied by 20% is 6000. Subtract 6000 from 30,000 and you get 24,000. 24,000 multiplied by 20% is 4,800. Subtract 4,800 from 24,000 and you get 19,200. Etc.

Three friends share 1/4 pan of brownies what fraction of the whole pan of brownies does each friend get

Answers

Answer:

1/12

Step-by-step explanation:

1/4 ÷ 3 = 1/4 x 1/3 = 1/12

What are the answers for 1-4 this is geometry.

Answers

Answer/Step-by-step explanation:

1. x*21 = 24*14 (intersecting chords theorem)

21x = 336

x = 336/21

x = 16

2. 27*x = 45² (secant-tangent rule)

27x = 2,025

x = 2,025/27

x = 75

3. (x + 5)*5 = (4 + 6)*6 (Intersecting secants theorem)

5x + 25 = (10)*6

5x + 25 = 60

5x = 60 - 25

5x = 35

x = 35/5

x = 7

4. (4x + 2)*8 = (5x + 1)*7

32x + 16 = 35x + 7

Collect like terms

32x - 35x = -16 + 7

-3x = -9

x = -9/-3

x = 3

Celeste drinks at least 8 cups of water each day. So far, she drank 1.5 cups of water.
She will drink the rest of her water for the day from a water bottle that holds 2 cups
of water. Which graph shows the minimum number of bottles worth of water Celeste
should drink so that she drinks at least 8 cups of water?
I need this answer fast please,no links any help is appreciated

Answers

Answer:

You didn't show any graphs.

Step-by-step explanation:

Solve: 16х2 - 81 = 0. (2 points)
Ox = 4, 9
Ox= -4, -9
ООО
9
х=
О
х
81
16
16

HELP PLEASEEE

Answers

C I think I’m sorry if it’s wrong

Answer:

x=9/4,x=-9/4

Step-by-step explanation:

16x^2−81=0

Step 1: Add 81 to both sides.

16x^2−81+81=0+81

16x^2=81

Step 2: Divide both sides by 16.

16x^2/16 = 81/16

x^2 = 81/16

Step 3: Take square root.

x = ±√81/16

x=2.25,x=−2.25

Convert to fraction form.

x=9/4,x=-9/4

Find the distance.

a. 9.7
b. 11.7
c. 10.7
d. 12.7

Answers

Answer:

b) 11.7

Step-by-step explanation:

Find the volume of the figure. Use 3.14 for pi

Answers

Answer:

1494.64

Step-by-step explanation:

Divide 28 by 2 = 14

14 times 3.14 times 34

I hope thats right

draw the grid of 3y- 4x=12

Answers

this is the grid of 3y - 4x = 12

Elijah went to the store and bought a pack of note cards for $3.80. If the tax was 7%, how much did he pay for the note cards?

Answers

Answer:

4.066

Step-by-step explanation:

7% of $3.80 = 0.266

Tax = 0.266

0.266 + 3.80 = 4.066

Hope this helps!! Have a great day and remember, you are loved.

find the area of the faded region. Round your answer to the nearest HUNDREDTH. Just put in the answer.​

Answers

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u this is irrelevent but idrc lol

Step-by-step explanation:

THIS IS TO ALL THE PEOPLE ANSWERING WITH UN KNOWN LINKS

Answers

Answer:

right i hate that so much

Step-by-step explanation:

Answer:

I feel the same though. So no need to feel bad. I hope you don't get scammed by anymore of them. BTW I have some more information on them on some of my questions if you wanna look. :) If they are still there though. Lol...

I need help with this question!

Answers

Answer:

h+c=28

4h+2c=80

Step-by-step explanation:

The total amount of horses and chickens is 28. So h+c=28. Each horse has 4 legs. Each chicken has 2 legs. There are h amount of horses and c amount of chickens. So 4h+2c=80.

h+c=28

4h+2c=80

Jasmine is borrowing $5,200 to purchase her first used car. She can take out a loan
from the car dealership for 42 months at an 8% annual simple interest, or she can
borrow the money from her bank for 36 months at a 7% annual simple interest
rate.
Calculate the interest charged for the car dealership loan.

Answers

Answer:

$1456

Step-by-step explanation:

5200 × 8% = $416(interest in 1 yr/12mnths)

42months ÷ 12months(1year) = 3.5 yrs

$416 × 3.5 yrs = $1456(interest in 42mnths/3.5yrs)

The population of Medford High School is
800 students and the population of
Westville High School is 1240 students.
The population of Medford High is
increasing at a rate of 30 students per
year, while the population of Westville
High is decreasing by 25 students per
year. In about how many years will the
population of the two schools be the
same?

Answers

Answer:

in 8 years each school will have about 1,040 students

Step-by-step explanation:

let 'x' = years

y = 30x + 800

y = -25x + 1240

30x + 800 = -25x + 1240

55x = 440

x = 8

Which choice is a rational number?

A.

2

B.

4

C.

8

D.

10

Answers

The answer is B. I’m very sure
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