Given: AB≅ BC and AK ≅ KC, ∠AKE ≅ ∠CKP, Prove: ∆AKE ≅ ∆CKP
PLEASE HELP!!!!!!!!!!!!!

Given: AB BC And AK KC, AKE CKP, Prove: AKE CKPPLEASE HELP!!!!!!!!!!!!!

Answers

Answer 1

Answer:

Step-by-step explanation:

Given:

AB ≅ BC

AK ≅ KC

∠AKE ≅ ∠CKP

To Prove:

ΔAKE ≅ ΔCKP

         Statements                               Reasons

1). AB ≅ BC                                          1). Given

2). ∠BAC ≅ ∠BCA                              2). Property of Isosceles triangles

3). ∠EKA ≅ ∠PKC                               3). Given

4). ΔAKE ≅ ΔCKP                               4). ASA Postulate of congruence

Hence ΔAKE ≅ ΔCKP.


Related Questions

The probability of getting bonus points is 8/19

Answers

Answer:

11/19

Step-by-step explanation:

If the probability is 8/19, the reverse is 11/19. That is the odds.

Hope this finds you well on a cold day!  

32. Parallelogram ABCD has vertices A(0,0), B(2,4), and C(10,4). Find the coordinates of D.
Answer:

Answers

Answer:

The fourth vertex is D(8, 0)

Step-by-step explanation:

Let A(0, 0), B(2, 4), and C(10, 4) be the three vertices of a parallelogram ABCD and let its fourth vertex be D(a, b).

Join AC and BD. Let AC and BD intersect at point O.

We have known that the diagonals of a parallelogram bisect each other.  

So, O would be the midpoint of AC as well as that of BD.

[tex]A\left(0,\:0\right)=\left(x_1,\:x_2\:\right)[/tex]

[tex]C\left(10,\:4\right)=\left(x_2,\:x_2\:\right)[/tex]

The midpoint of AC is:

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(10,\:4\right)[/tex]

[tex]=\left(\frac{10+0}{2},\:\frac{4+0}{2}\right)[/tex]

[tex]=\left(5,\:2\right)[/tex]

The midpoint of BD is:

[tex]=\left(\frac{a+2}{2},\:\frac{b+4}{2}\right)[/tex]

so

∵  [tex]\frac{a+2}{2}=5[/tex]

[tex]a+2=10[/tex]

[tex]a=8[/tex]

∵ [tex]\frac{b+4}{2}=2[/tex]

[tex]b+4=4[/tex]

[tex]b=0[/tex]

Hence, the fourth vertex is D(8, 0)

Solve: -6n + 5 < 11
Wich graph shows the solution?

Answers

Answer:

The last graph

Step-by-step explanation:

You have to solve for n that is where you get the plot then you have to remember in inequalities if you divide by a negative you have to switch the sign. The inequality is not a less than or equal to or greater than or equal to so the plot would be an open circle. Because we switched the sign it goes down the left side of the graph because of the direction the sign is pointing to.

Answer:

second graph

Step-by-step explanation:

when you solve for the value of n, you will obtain

n=-1

introducing the sign

which is n>-1

hence the above response

expand and simplify 3(2a+3b)+2(2a+2b)​

Answers

Answer:

=10a+13b

Step-by-step explanation:

Let's simplify step-by-step.

3(2a+3b)+2(2a+2b)

Distribute:

=(3)(2a)+(3)(3b)+(2)(2a)+(2)(2b)

=6a+9b+4a+4b

Combine Like Terms:

=6a+9b+4a+4b

=(6a+4a)+(9b+4b)

=10a+13b

At the store, 10 ounces of candy cost $3.20. What is the price of 6 ounce of candy?

Answers

divide $3.20 to get the cost per ounce, and multiply it by 6 to get the price for 6 ounces.

6 ounces = $1.92

hope this helps!! :)

Select the correct answer.
Which equation represents the vertical line passing through (1,-9)?
A.
x = -9
B.
X = 1
y = -9
D.y = 1

Answers

Answer:

I think A because we can't see the thing

Answer:

x=1

Step-by-step explanation:

Sarah had 16 stickers. Al gave her 25 more. How many stickers does Sarah have now?

Answers

Answer:

Sarah had 16 stickers. Al gave her 25 more. How many stickers does Sarah have now? 41

Step-by-step explanation:

Answer: 41

Step-by-step explanation: The key word in this sentence is more. She already has 16 and she is getting another 25. So that means you have to add 16 and 25 to find out how much she has now. The answer would be 41.

Find the value of n for which the vectors a⃗ =(3,2)a→=(3,2) and b⃗ =(9,n)b→=(9,n) are collinear.​

Answers

Answer:

For n=6, the given vectors will be collinear.

Step-by-step explanation:

Collinear vectors are the vectors which lie on the same line or parallel lines. In order to find if two vectors are collinear, their ratio is found. If the ratio is same for all unit vectors then the vectors are collinear.

Given

[tex]a = (a_1, a_2) = (3,2)\\b = (b_1, b_2) = (9,n)[/tex]

The ratio of first unit vectors is:

[tex]\frac{a_1}{b_1} = \frac{3}{9} = \frac{1}{3}[/tex]

In order for the vectors to be collinear the other ratio should also be 1/3

[tex]\frac{a_2}{b_2} = \frac{1}{3}[/tex]

Writing it mathematically

[tex]\frac{2}{n} = \frac{1}{3}\\2*3 = n\\n = 6[/tex]

Hence,

For n=6, the given vectors will be collinear.

How does this step ensure that the new angle will be congruent to the original angle?

Answers

Iidkdndhwbwjwjw wiebwbwjw kanwkw

Pls look in file below for question

Answers

Answer:

the answer to the question is 7

A new drug on the market is known to cure 30% of patients with cervical cancer. If a group of 18 patients is randomly selected, what is the probability of observing, at most, one patient who will be cured of cervical cancer?

Answers

Answer:

Probability cured of cervical cancer =  18C0 (0.30)⁰(0.70)¹⁸ +  18C1(0.30)(0.70)¹⁷

Step-by-step explanation:

Given:

Patients cured = 30% = 0.30

Number of patients (n) = 18

Probability cured of cervical cancer = P(X≤1)

Probability cured of cervical cancer  = P(X=0) + P(X=1)

Probability cured of cervical cancer =  18C0 (0.30)⁰(0.70)¹⁸ +  18C1(0.30)(0.70)¹⁷

Una pizza grande de queso cuesta $18. Cada ingrediente extra cuesta $1.50

Answers

Answer:

3

Step-by-step explanation:

Toda la futura variación de pizzas se ha elaborado con cuatro ingredientes distintos: la base, la salsa, el queso y la cobertura. Pero, dado que no hay cobertura, la respuesta sería 3.

-LavenderVye

Is the following relation a function?

A. Yes
B. No

Answers

Yes............................

Answer:

Yes, it's a function.

Step-by-step explanation:

Help with 2 things plz I will give brainliest

Answers

Answer:

x is 3 y is 52        x is 50, y is 70

Step-by-step explanation:

1

we know y=14x=12x+6 since they are vertical angles, and correlating angles.

14x=12x+6

2x=6

x=3

subsitute x=3

y=14(x)   turns into y=52

x is 3 y is 52

2.

x+20=y  since alternate interior

y+2x+10=180    because they are supplementary

x+20+2x+10=180    subsitute  for y

3x+30=180

3x=150

x=50

50+20=y

70=y

Two lines are perpendicular. The slope of the first line is. What is the slope of the second line?

Answers

Answer:

Therefore, the slope of the original line is 1/2. A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line. The negative reciprocal of the original line is –2, and is thus the slope of its perpendicular line.


A school is electing students for class officers. There are four offices: president, vice president, secretary, and treasurer. The student with the most votes becomes president, second highest number of votes is vice president, and so on. If there are students in this class, how many ways can students be elected?

Answers

Answer:

84,264

Step-by-step explanation:

Answer:

84,264

Step-by-step explanation:

35 POINTS!!! Show your work and write an expression using the following criteria:
1. A dividend is greater than 1,000
2. The quotient is 37 with a reminder of 4

Answers

Answer:  3704 / 100=37R4

Step-by-step explanation:

3704 / 100=37R4

Answer:

listen

Step-by-step explanation:

Just breathe! I know Im late but please take notes and not ask everyone on here to do stuff for you! Thanks

Find an equation of the sphere that passes through the point (6, -2, 3) and has center (-1, 2, 1). Find the curve in which the sphere intersects the yz-plane. Find the center and radius of the sphere

X^2 + y^2 + z^2 -8x + 2y +6z + 1 = 0

Answers

Answer:

A)  x^2 + 2x+ y^2 - 4y + z^2 - 2z - 63 = 0

B) radius = 5

center  = (4,-1,-3)

Step-by-step explanation:

[tex]x^2 + y^2 + z^2 - 8x + 2y + 6z + 1 = 0[/tex]

A ) Determine the curve in which the sphere intersects the yz-plane

determine the radius ( r ) =  √((6-(-1))2+(-2-2)2+(3-1)2) = √69

next the equation of the sphere ( curve in which the sphere intersects the yz-plane )

x^2+2x+y^2-4y+z^2-2z-63 = 0

B) determine the center and radius of the sphere

X^2 + y^2 + z^2 -8x + 2y +6z + 1 = 0

(x-4)2+(y+1)2+(z+3)2 = 25 = 52

radius = 5

center  = (4,-1,-3)

NEED HELP ILL GIVE BRAINLIEST PLEASE!!!

Answers

Answer:

13 feet

Step-by-step explanation:

If more airplanes and cars are used (both of which burn fossil fuels), carbon levels will increase.

Group of answer choices

True

False

Answers

Answer:

True

Step-by-step explanation:

Cars and planes use fossil fuels such as, gas, petroleum. These are unrenewable resources.

Answer:

true

Step-by-step explanation:

they both emit carbon so if they are both used more often then carbon emissions will increase.

is 39.81 rational or irrational

Answers

Answer:

its rational

Step-by-step explanation:

:)

Answer:

It is rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Someone help me solve this please, I'd appreciate it if you can walk me through the steps. If not, just answering it is okay :)

Answers

Answer:

c. -8

Step-by-step explanation:

Given:

[tex] \frac{4b \div c}{1 - a} [/tex]

a = 5, b = 8, and c = 1

To evaluate, plug in the values into the expression given.

Thus:

[tex] \frac{4(8) \div 1}{1 - 5} [/tex]

[tex] \frac{32 \div 1}{1 - 5} [/tex]

[tex] \frac{32}{-4} [/tex]

[tex] \frac{8}{-1} = - 8 [/tex]

pretende-se guardar um cano de 42cm de comprimento em uma caixa de ferramentas retangular, cuja as medidas são 36cm de comprimento por 27cm de largura. Verifique se tal feito será possível de ser realizado, demonstrando numericamente seu raciocínio

Answers

Answer:

Step-by-step explanation:

Não porque a caixa seria muito menor que o cano.

can someone help me with this? I’m very confused and my results aren’t matching

Answers

You basically start at the start and whatever answer you get you go that way and if you get your answers right it should lead you to finish.

1.23 x 1.1 equals =

Answers

Answer:

1.23 x 1.1 = 1.32

Math question on bottem

Answers

Answer
C
I could be wrong
Explanation

Answer:

12.56km

Step-by-step explanation:

circumference formula is C= 2(π)(r)

r= 2 so

C=2(π)(2)

C= 12.56

Please Help! Anyone know how to solve Rational Equations?

Answers

Answer:

The answer is D. x = 0 , 5

x equal to 0 and 5.

Tickets for a concert cost $25 each. You have $180 to spend. Write
an expression for the money that you have left after buying
t tickets. Evaluate the expression to find the amount of money left
after buying 6 tickets.

Answers

Answer:

180 - 25(T)= 30

T=6

180 - 25(6)= 30

bubba buys a $95 calculator on sale for 30% off. what's the discount and sales price?

Answers

firstly, we multiply 95 by 30% and divide it by 100.
95 * 30/100= 28,5

95-28,5= 66,5

What role do animals have in the carbon cycle?
Group of answer choices

use water and release oxygen

use sugar and release carbon

use carbon and release oxygen

use carbon and release nitrogen

Answers

I believe it is use sugar and and release carbon. We breath in oxygen so you know it can’t be anything where we release oxygen. And I don’t know how we could release nitrogen so I would go with the second one

Answer:

Animals eat plants, and when they do, they obtain the carbon. Later, they release that carbon by means of respiration. Fungus, Bacteria, Algae and other microorganisms create carbon when they decompose dead plants and animals.

Step-by-step explanation:

hope this helps

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