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

Find the missing length of the
figure.

20 cm and 12 cm

Answers

Answer:

16 cm

Step-by-step explanation:

Since all sides of a square are equal

Side x can be gotten using pythagoras theorem

hypothanous² = adjacent² + opposite²

[tex] {20}^{2} = \: {12}^{2} \: + \: {x}^{2} \\ 400 \: = \: 144 \: + \: {x}^{2} \\ {x}^{2} \: = \: 400 \: - \: 144 \\ {x}^{2} \: = 256 \\ x = \sqrt{256} \\ x = 16cm[/tex]

1. :4
32+4 x (16 x 2)-2-
37:
---

Answers

Answer

Step-by-step explanation:

mulitiply the numbers

add the numbers

rearrange the numbers

What is the value of this expression when a= 3 and b- -2? (3a^-2 b^6)/(2a^-1 b^5)^2

No links please. Will give Brainlest on who is right. (This gamer girl is bad at math uwu)

Answers

Answer:

1

Step-by-step explanation:

Find the volume of the figure

Answers

Answer:

384

Step-by-step explanation:

L times W times H

how do i get only 50 point questions​

Answers

Answer:

what?

Step-by-step explanation:

if your asking to filter out all questions for only those that give you 50 points, its not possible at this moment

HELP ASAP PLSS (NO LINKS OR ILL REPORT)

Answers

Answer:

C is correct.

Step-by-step explanation:

I took this test.

Branliest For Correct answer
Please I need help
Factor Completely

a^2 - a - 20

Answers

Answer:

[tex]\left(a+4\right)\left(a-5\right)[/tex]

Step-by-step explanation:

Break the expression into groups.

=(a^2+4a)+(−5a−20)

Factor out a from a2+4a:     a(a+4)

Factor out −5 from −5a−20:     −5(a+4)

=a(a+4)−5(a+4)

NEED HELP ASAP!!! PLZ HELP!!!!

Answers

Answer:

45.8

Step-by-step explanation:

Find the measure of angle H

Answers

Answer:

80

Step-by-step explanation:

All triangle angles add up to 180 so:

4x - 20 + 2x + 2x = 180

8x - 20 = 180

8x = 200

x = 25

<H:

4x - 20

4(25) - 20

100 - 20

80

Please help..
Solve for the area of the figure below and show work.

Answers

Answer and Step-by-step explanation:

1. We can see that this kite-shape has 4 triangles in it.

The area of a triangle is as follows:

[tex]A = \frac{bh}{2}[/tex]

Where:

b = Base (length)

h = Height

Top Right Triangle Area:

b = 9

h = 3

A = [tex]\frac{3 * 9}{2}[/tex]

A = [tex]\frac{27}{2}[/tex]

Bottom Right Triangle Area:

b = 9

h = 3

A = [tex]\frac{3 * 9}{2}[/tex]

A = [tex]\frac{27}{2}[/tex]

Top Left Triangle Area:

b = 4

h = 3

[tex]A = \frac{4*3}{2}[/tex]

A = [tex]\frac{12}{2}[/tex]

A = 6

Bottom Left Triangle Area:

b = 4

h = 3

[tex]A = \frac{4*3}{2}[/tex]

A = [tex]\frac{12}{2}[/tex]

A = 6

Now, we add all the areas together to get the area of the kite figure.

A = [tex]\frac{27}{2}[/tex] +

A = 27 + 12

A = 39

The area of the kite figure is 39 [tex]m^{2}[/tex].

2. We have to find the area of the trapezoid.

(I'm not sure if the 9 is for the entire bottom side length)

If the bottom side length is 9, then we would use the formula:

A = [tex]\frac{a + b}{2} h[/tex]

to find the area of the entire trapezoid.

A = [tex]\frac{2.4 + 9}{9}[/tex] × 8.2

A ≈ 46.74 [tex]mi^{2}[/tex]

#teamtrees #PAW (Plant And Water)

Solve the equation on the interval [0,2pi)

Answers

The value of θ within the interval is 210 and 330 degrees

Given the equation;

[tex]2sin^2 \theta = 5sin \theta - 3[/tex]

Let P = sinθ

The equation will become;

2P² = 5P - 3

2P² - 5P - 3 = 0

Factorize;

2P² - 6P + P- 3 = 0

2P(P-3) + 1(P -3) =0

2P + 1 = 0 and P - 3  = 0

p = -1/2 and  3

Since P = sinθ

sinθ = -1/2

θ = -30 degres

Since sine is negative in the second 3rd and 4th quadrant

θ = 180 + 30 = 210 degrees

θ2 = 360  - 30 = 330 degrees

Hence the value of θ within the interval is 210 and 330 degrees

Learn more on trigonometry here: https://brainly.com/question/24349828

pls help me I have no idea what I'm doing​

Answers

Answer:

3.2mm ^3

Step-by-step explanation:

First find the scale factor to get the height of the smaller figure

SF= 1/5 or 0.2

Then use the Volume equation for triangular pyramid 1/3*(base area)*(height)

Your equation should look like this:

1/3 (4)(2.4)

9.6/3

Volume= 3.2 mm ^3

The larger triangle is a dilation of the smaller triangle with a center of dilation at (1,−1)
What is the scale factor of the dilation? No Links and brainlest
18
14
4
8

Answers

Answer:

Scale factor = 4

Step-by-step explanation:

Scale factor = [tex]\frac{\text{Dimension of the larger (Image) triangle}}{\text{Dimension of the smaller (Preimage) triangle}}[/tex]

From the given triangle,

Length of one side of the larger triangle = 8 units

Length of the corresponding side of the smaller triangle = 2 units

By substituting the values in the formula of scale factor,

Scale factor = [tex]\frac{8}{2}[/tex]

Scale factor = 4

At a party there are 90 people.
48 are women and 42 are men.
Some women leave.
Some men arrive.
The ratio of women to men is now
10:11
Are there now more than 90 people at the party?
Show working to support your answer.​

Answers

Answer:

No

Step-by-step explanation:

Originally:

48:42

If some leave and some arrive = 10:11 given in question

So 48- 8 leave = 40 women

Therefore 42+2=44

Now the ratio is 40:44 (Actual amount of people)

When you simplify/ divide by 4 = 10:11

Total amount of people is 40+44= 84 which is less than 90

1. A line has a slope of 6 and includes the
points (-1, q) and (0, -7). What is the
value of q?

Answers

Answer:

q = - 13

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 6

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, q) and (x₂, y₂ ) = (0, - 7)

m = [tex]\frac{-7-q}{0+1}[/tex] = - 7 - q , then

- 7 - q = 6 ( add 7 to both sides )

- q = 13 ( multiply both sides by - 1 )

q = - 13

Answer:

q = -13?

Step-by-step explanation:

the equation is y = mx + c

m is the gradient

c is the y-intercept

where the line crosses the y axis

If 6 is the gradient then the equation is

y = 6x + c

Find c by using the coordinates given:

-7 = ( 6× 0) +c

-7 = 0 + c

c = -7

the equation is y = 6x -7

Substitute the other coordinates to find q:

y or q = (6 ×-1) - 7

q = -6 -7

q = -13

x + 2x +17=25 I need the answer and need do you know how to check if it's right ​

Answers

Answer:

x=8/3

Step-by-step explanation:

x+2x+17=25

3x+17=25

3x=8

x=8/3

Answer:

X = [tex]\frac{8}{3\\}[/tex]

Step-by-step explanation:

Find values for p and q so that the equation has infinitely many solutions.
px - 2 = 4x + x + 9
p =

Answers

Px-2= 4x+x+9

First what you should do is subtract the 2 on both sides

You’ll get px = 4x+x+7 then add the x to 4x

Px= 4x^2 +7

Dived the x on the left on both sides like this px/x = 4x^2+7/x

P= 4x+7

can someone help me

Answers

Divide by 4 on each side of the equation. The answer is 6 :)

Please help I'll mark brainliest

Answers

Answer:

(-5,6)

Step-by-step explanation:

5(-5) +6y =11

-25 +6y = 11

6y = 36

y = 6

Answer: (-5,6)
Hope this helps

If (5^n)^3 = 5^12 then n= ?
6

Answers

Answer: n=4

Step-by-step explanation:

Uh I did some trial and error and it came up with the right answer

10
Find the value of x.
8
9
X
*15
X=

Answers

Answer:

x = 19

Step-by-step explanation:

Here, we want to find the value of x

To get this, we use one of the important circle theorems. This is the theorem of secant segments

We have this that;

8(8 + x)= 9(9 + 15)

64 + 8x = 216

8x =

216-64

8x = 152

x =

152/8

x = 19

Doug is in line at the store. He has three items that cost ​$4.50​, ​$3.05​, and ​$1.50. Explain how Doug can add the cost of the items mentally before he pays for them.

Answers

Answer:

He can add through calculater or by doing addition in his mind

Find the area.I will mark the BRAINIEST

Answers

Answer: C. 64 ft

Step-by-step explanation:

Question 10 of 10
Sample A and sample B are from the same population. If the sample
proportion for sample A is 0.53, the sample proportion for sample B has to be
0.53
A. True
B. False


Answer is false

Answers

Answer:

It’s false

Step-by-step explanation:

It doesn’t need to be the same

what value of 3x makes the equation true?
5x+3x=5x+15/2

Answers

Answer:

2.5

Step-by-step explanation:

when you 5x automatically cancels, and 7.5 / 3 is 2.5

is 30x176 is three times larger than 10x176

Answers

Answer:

yes

Step-by-step explanation:

The Ferris wheel at a state fair has a radius of 60 feet,
rotates at a constant speed, and completes 1 rotation in
4 minutes. How many degrees does the Ferris wheel
rotate in 30 seconds?
A. 20°
B. 24°
C. 30°
D. 45°
E. 48°

Answers

I think the answer is E

ASAP HELP NEEDED, TAKING A TEST

Question: Based on the data set above for the hours per day sixth graders spend using an electronic device, what is the mean number of hours sixth graders use an electronic device?
No links, useless words, or anything like that. I will report you.

Answers

Answer:

Step-by-step explanation:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

1+1+1+1+2+3=9

2+4+4+5+6+6+7+8+8=50

50/9=5.55555555556

or

9/50=0.18

Wyatt does 29 push-ups in the morning and 36 more push-ups in the evening. If he does the same number of push-ups every day of the week for 4 weeks, about how many push-ups will he do in all?

Answers

Answer: 1,820 Pushups

Step-by-step explanation: 29+36=65

65 x 7 (days in a week)=455

455 x 4(as in the 4 weeks)=1,820 Pushups total

I hope this helped! let me know if you need more help! :)

The lengths, in cm, of the sides of a triangle are 3x – 5, 2x – 1 and x + 1 (a) Write down an expression, in terms of x, for the perimeter of the triangle.

Answers

Answer: [tex]6x-5[/tex]

Step-by-step explanation:

Given

The side lengths of a triangle are  [tex]3x-5, 2x-1,\text{and}\ x+1[/tex]

Perimeter(P) is the sum of the side length of the triangle i.e.

[tex]\Rightarrow P=3x-5+2x-1+x+1\\\Rightarrow P=6x-5[/tex]

Therefore, the perimeter of the triangle is [tex]6x-5[/tex]

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