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

Which statement is true about the box plots? Select three options.

Both box plots show the same range.
Both box plots show the same interquartile range.
The data for Mr. Ishimoto has an outlier.
Mr. Ishimoto had the class with the greatest number of students.
The smallest class size was 24 students.

Answers

Answer:

B,D,E

Step-by-step explanation:

Remove the brackets using the distributive law for the following: -7(2x - 5y)

Answers

the answer is -14x+35

What is the value of x in the diagram?
A right angled triangle with base 2x+2, altitude x and hypotenuse 2x+3.

Answers

Answer:

x = 5

Step-by-step explanation:

x² + (2x+2)² = (2x+3)²

x² + 4x² + 8x + 4 = 4x² + 12x + 9

x² - 4x - 5 = 0

(x - 5)(x + 1) = 0

x = -1  This can be discounted as the answer because you cannot have a negative length

answer: x = 5

$9000.00 decreased by 0.5% make sure to show your work

Answers

Answer: 8550

Step-by-step explanation:

9000(1-0.5)

9000(0.95)

8550

A city planner knows that the number of daily riders on the subway is expected to increase by 12% over the next year. If the current number of daily riders is represented by d,
which expression does NOT represent the expected number of daily riders next year?

A.d+0.12d
B. 1.12d
C. (1 + 0.12)d
D.0.12d

Answers

Answer:

Step-by-step explanation:

B

because it doesn’t start off or have 0.12 in the equation.

In 2.5 hours, 0.64 inch of rain fell. At about what rate did the rain fall? A 0.18 inch per hour 8 0.26 inch per hour 0 0.32 inch per hour D 1.60 Inches per hour​

Answers

Answer:

0.26 per Hour

Step-by-step explanation:

0.26x2=0.52

0.26/2=0.13

0.52+0.13=0.65

0.65 is the closest to your question

12 more to go please help me

Answers

Step-by-step explanation:

Total number of people = 48 + 32 + 16

= 96

P(2 or more items) =

[tex] \frac{32}{96} \\ = \frac{1}{3} [/tex]

I need help QUICKLY on this algebra question!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = -1

Step-by-step explanation:

to find axis of symmetry, use the following equation:

x = -b/2a

in this problem, a = 3, b = 6, c = -12

x = -6/2(3)

x = -6/6

x = -1

Solve. 40 = -10x + 20

Answers

X=-2 hope this helped :)

Answer:

hi

Step-by-step explanation:

40= -10x+20

40-20= -10x

20= -10x

x=20/-10

x=-2

hope it helps

have a nice day

You have $210 and save $5 a week. Your friend has $265, saves nothing, and spends $10 a week. Determine how many weeks it will take before you have more money than your friend.

a. 4 weeks

b. 3 weeks

c. 2 weeks

d. 6 weeks

Answers

Answer:

This answer is A

Step-by-step explanation:

Im fast to answer :)

There is a 3 out of 20 chance that you can win a game. How many "wins" would you predict if you played the game 50 times?

Answers

Answer:

7.5

Step-by-step explanation:

The probability of winning = 3 out of 20 ;

P(winning) = 3/20

Predicted Number of winnings if game is played 50 times ;

P(winning) * number of games played

(3 /20) * 50

0.15 * 50

= 7.5

Predicted Number of winnings = 7.5

Answer:7.5

Step-by-step explanation:

first you want to clarify the numbers which is 3 and 20 and your chance is 3/20 which equals 7.5 but round to the nearest whole number so 8,

please help 3/4x 2 1/7

Answers

Answer:

1 17/28 or 1.6071428571429 round: 1.61 in decimal form.

Find the volume of a pyramid with a square base, where the area of the base is
8.3 mº and the height of the pyramid is 6.3 m. Round your answer to the nearest
tenth of a cubic meter.

Answers

Answer: 17.4 m^3

Step-by-step explanation:

V= 1/3 Bh

B=8.3

H=6.3

V=1/3 (8.3)(6.3)

V=17.43

V=17.4m^3

Tim's family toured the Astronaut Hall of Fame from 2:05P.M. To 2:45 P.M. Explain how you know that the tour was more than 30 minutes.

Answers

Answer: See explanation

Step-by-step explanation:

Since Tim's family toured the Astronaut Hall of Fame from 2:05P.M. To 2:45 P.M, the time taken during the tour will be:

= 2.45 pm - 2.05pm

= 40 minutes.

Since Tim's family toured the Astronaut Hall of Fame for 40 minutes, this shows that they spent more than 30 minutes during the tour.

(-9)5 ∙ (-9)7
what's the answer

Answers

Answer:

2835

Step-by-step explanation:

-9×5= -45

-9×7= -63

-45×(-63)=2835

An aluminum can has a capacity of 2.37 L. What is the capacity of the can in milliliters?
(1 L = 1,000 mL)

Answers

Answer:

2,370 mL

Step-by-step explanation:

1000mL = 1 L, so I multiplied 1000 by 2.37

If they ask for it to be set up as a proportion, I would write 1/1000 = 2.37/x and cross multiply. x = 2,370

I need so much help with these could you help me?

Answers

Answer:

Step-by-step explanation:

In ΔBCA and ΔDCA,

BC ≅ CD                 Given

∠BCA ≅∠DCA        Given

AC ≅ AC                    Reflexive property

ΔBCA ≅ ΔDCA          S A S congruent

∵ BA ≅ AD                CPCT {Corresponding part of congruent triangle}

Solve the system: {-2(a-b)+16=3(b+7), 6a-(a-5)=-8-(b+1)

Answers

Answer:

a=−3 and b=1

Step-by-step explanation:

Please help with this question

Answers

Answer:

Point G and Point B

Step-by-step explanation:

The quadrant on the top right is quadrant 1 and the quadrant on the top left is quadrant 2. The quadrant on the bottom right is quadrant 4 and the quadrant on the bottom left is quadrant 3.

The volume of a cone is 8003π cubic yards. The height is 8 yards. Find the radius

Answers

Question:-

The volume of a cone is 8003π cubic yards. The height is 8 yards. Find the radius.

Solution:-

Height (h) of a cone is 8 yards. (Given)

We have to find the radius (r) of a cone.

Now,

ATQ ,

[tex] \frac{1}{3} [/tex]πr²h = 8003π

[tex] \frac{1}{3} [/tex]r²h = 8003 [ ' π ' is cancelled from both sides ]

[tex] \frac{1}{3} [/tex]r² × 8 = 8003

r² = [tex] \frac{8003 \: × \: 3}{8} [/tex]

r² = [tex] \frac{24,009}{8} [/tex]

r² = 3001.125

r = [tex]\sqrt{3001.125}[/tex]

r = 54.78

The radius of a cone is 54.78 yards. [Answer]

A banana split costs $2.50. A milkshake costs $1.70. Bobby,Jack, and Ted ordered one of each and split the cost. How much does each boy owe?

Answers

Answer:

$4.20

2.50+1.70=4.20

Answer:

Jack= $4.20

Bobby=$4.20

Ted=$4.20

Step-by-step explanation: This is the answer because if you add up all the drinks the total they payed is $12.60 so you just divided that by how many people there are and get $4.20

please help me and I have more too​

Answers

Answer:

b. x=3

Step-by-step explanation:

i hope this helps :)

Answer:

4x+20=6x+14

Step-by-step explanation:

20=2x+14

6=2x

3=x

Alan has read 70% of a book. He has 15 more pages to finish. How many pages are there in the
book?

Answers

50 pages. See the details in the attached picture.

In the diagram, x is a negative number and y is a positive number. Select the expression that is a positive.

Answer choices:
x(y)

x - y

y/x

y - x

Answers

Answer:

Option 4: y -x

Step-by-step explanation:

Option 1

Multiplying a positive and a negative number will result in a negative number.

For example, if x= -1 and y=5,

x(y)= -1(5)= -5 (a negative number)

Thus, option 1 is incorrect.

Option 2

In this option, we are essentially multiplying -1 to y, a positive number, before adding the result with x.

Since y is a positive number, -y is a negative number and hence x -y (when x is a negative number) will result in a negative number. Let's plug in values into x and y to check this.

For example, x= -2 and y=3.

x -y= -2 -3= -5

Option 2 is thus incorrect.

Option 3

Dividing a positive number with a negative number will result in a negative number.

For example: 6÷(-2)= -3

Option 3 is also incorrect.

Option 4

Subtracting a negative number from a positive number will result in a positive number.

For example: x= -1, y= 8

y -x= 8 -(-1)= 8 +1= 9

As seen from the example above, when the negative number is multiplied to negative 1, a positive sign results.

In summary, when a positive number is multiplied to a positive number, the resulting number is positive.

When a negative number is multiplied to a negative number, the resulting number is positive.

When a positive number is multiplied to a negative number, the resulting number is negative.

+(+)= +

-(-)= +

+(-)= -

This applies to division too.

Find the value of x
−0.5x−0.75=2.15

Answers

Answer:

-5.8

Step-by-step explanation:

13 ft 10 ft 18 ft Find the area of the trapezoid. [?] square feet​

Answers

Step-by-step explanation:

A=a+b

2h=13+10

2×18=207

formula a=a+b/2×18

If u know ,
Help me please .

Answers

Answer:

50cm³

Step-by-step explanation:

Multiply the dimensions then divide by three to get the volume of the pyramid

Find the value of y.
120°

Answers

Answer:

y = 60°

Step-by-step explanation:

The tangent- chord angle y is half the measure of its intercepted arc , then

y = [tex]\frac{1}{2}[/tex] × 120° = 60°

The value of y is 60 °

What is the tangent- chord angle theorem?"The angle generated by a tangent to a circle and a chord is equal to half the angle measure of the intercepted arc," is another way to state the Tangent-Chord theorem. Since the angle measure of an intercepted arc is double that of the inscribed angle that subtends it, this is equivalent to what we have demonstrated.The measure of an angle formed by a tangent and a chord meeting at the point of tangency is half the measure of the intercepted arc.

Given , the angle is 120°

Now apply the  tangent- chord angle theorem, " a chord meeting at the point of tangency is half the measure of the intercepted "

y = 1/2 × 120°

y = 1/2 × 120° = 60°

Therefore, the value of angle y is 60°.

Learn more about the Tangent-Chord theorem brainly.com/question/2193714

#SPJ2

Find the value of x. X=​

Answers

Answer: x=9

Step-by-step explanation:

24/36=6/x

24/36=2/3

2*3=6

3*3=9

Answer:

x= 12

Step-by-step explanation:

On Sunday the temperature was 5 degrees lower on Saturday. What was the temperature on Sunday?

Answers

-2

........................

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