Consider the diagram.

Triangles M N P and A B C are connect between points B and M. Angles P N M and A B C are congruent. Sides P N and B C are congruent. Line segments A M and B N are congruent.

The congruence theorem that can be used to prove △MNP ≅ △ABC is

SSS.
ASA.
SAS.
AAS.

Answers

Answer 1

Answer:

The answer is SAS. ( Option C )

Step-by-step explanation:

Answer 2

S A S congruence theorem is used to prove △MNP ≅ △ABC.

Given MNP and ABC are connect between points B and M.

In △MNP and △ABC

Side PN = Side BC (given)

angle PNM = angle ABC (given)

Side NM = Side AB (since AM and BN are congruent so NM and AB are also congruent)

So, by Side Angle Side Congruence rule  △MNP ≅ △ABC.

Hence S A S congruence theorem is used to prove △MNP ≅ △ABC.

For more details on congruence theorem follow the link:

https://brainly.com/question/19258025


Related Questions

A certain population of insects starts at 16 and doubles every 6 days. What is the population after 60 days?
Please write how you got your answer

Answers

Answer:

16384

Step-by-step explanation:

Day 1=16

Day 6=32

Day 12=64

Day 18=128

Day 24=256

Day 30=512

Day 36=1024

Day 42=2048

Day 48=4096

Day 54=8192

Day 60=16384

what is the value of the angle marked with X?

Answers

Answer:

x = 132

Step-by-step explanation:

In a parallelogram,adjacent angles add to 180

Opposite angles are equal

Answer:

132

Step-by-step explanation:

Obtuse angles. It's a parallelogram, not a triangle.

4
"Free" items only cost the company that gives them away.
O A.
True
B.
False
Reset
Next

Answers

Answer:

I believe the answer is false.

I hope I helped, please correct me if I'm wrong!

Find the area of the parallelogram:

Base = 15 cm
Height = 21 cm

Round to the nearest tenth and include units in your answer

Answers

Answer:

area of parellogtam=base *height

Step-by-step explanation:

15*21=315

Riley is saving up to buy a new television. She needs a total of $1,008.30. Riley has saved $200.80 already and earns $80.75 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?

Answers

Answer: 10 weeks

Step-by-step explanation:

Cos of television = 1008.30

Savings = 200.80

Balance = 1008.30 - 200.80 = 807.50

She needs to work 807.50/80.75 = 10 weeks

Mr. Flores charges $ 530 for car repairs to his credit card, which charges no interest if
paid in full within 9 months. He pays $ 150 the first month. How much must he pay each
month, for the next 8 months so that he pays no interest?​

Answers

Answer:

$47.50

Step-by-step explanation:

530-150=380

380/8=47.50

Use a scientific/statistic calculator to find the correlation coefficient of the data points (1, 1), (2, 5), (4, 7), (5, 12), and (7, 15). Round the correlation coefficient to the nearest thousandth.

A. 0.978
B. 0.875
C. 0.956
D. 0.819

Answers

I think B is your answer

The correlation coefficient of the points is 0.978

How to determine the correlation coefficient?

The points are given as:

(1, 1), (2, 5), (4, 7), (5, 12), and (7, 15)

Next, we calculate the correlation coefficient using a graphing calculator

From the graphing calculator, we have the following calculation summary

X Values

∑ = 19Mean = 3.8∑(X - Mx)2 = SSx = 22.8

Y Values

∑ = 40Mean = 8∑(Y - My)2 = SSy = 124

X and Y Combined

N = 5∑(X - Mx)(Y - My) = 52

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))r = 52 / √((22.8)(124)) r = 0.978

The above means that the correlation coefficient is 0.978

Read more about correlation coefficient at:

https://brainly.com/question/11811889

which table of values can be defined by the function y=4x-2?

Answers

Hello

I think I know the answer:

D

Please mark my answer and comment so I can figure out what was wrong.

Cheers, Jake

Rajesh is working out the area of a circle with radius 10.

he writes:

area = 3.142 x 20

explain why Rajesh's workings are wrong?

Answers

Answer:

Rajesh applied the wrong formula

Step-by-step explanation:

The problem is on mensuration of flat shapes, circles.

Rajesh applied the wrong formula for the calculation of the area of a circle

he used [tex]area= \pi d[/tex]

Rajesh is expected to solve for the area of a circle using the right formula, which is

[tex]area= \frac{ \pi d^{2}}{4} \\or\\area= \pi r^{2}[/tex]

substituting our data we have

[tex]area= 3.142*10^{2} \\area= 3.142*100\\area= 314.2[/tex]

Help me, please ...i dont understand

Answers

C. Use the formula for area of a triangle 1/2(Base * Height). Using that we see that we have 1/2(a*b) + 1/2(c*c) + 1/2(a*b). Cleaning this up we get 1/2(2ab+c^2)

If 560 were surveyed, how many chose red for the color of the new team jerseys?

Blue - 33%
Red - 25%
Orange - 17%
Purple - 15%
Other - 10%

Answers

Answer: 140

Explanation: 560 x .25 = 140. 140 x 4 = 560

2{ 5[7 + 4(17 - 9) - 22]}

Answers

Answer:

170

Step-by-step explanation:

2{5[7+4(8) -22]}

2{5[7+32 - 22]}

2{5[39 - 22]}

2{5[17]}

2{85}

170

Which of the following sets could be the sides of a right triangle?
{2,3, square root 13} {2,2,4}{1,3, square root 3}

Answers

Answer: 2, 3, square root 13

Step-by-step explanation:

Use the Pythagorean Theorem (a^2 + b^2 = c^2)

2^2 = 4

3^2 = 9

4 + 9 = 13

Square root of 13 is c

Answer:

2,3,[tex]\sqrt{13}[/tex]

Step-by-step explanation:

The first choice:

2, 3, [tex]\sqrt{13}[/tex]

Pythagorean theorem states that for a right-triangle of sides a,b and c where c is the hypotenuse; a² + b² = c²

So the hypotunese has to be the longest side of all.

The longest side in this case is [tex]\sqrt{13}[/tex]

So, 2² + 3² must be equal to ([tex]\sqrt{13}[/tex])²

Let's check if its true ...

2² + 3² = ([tex]\sqrt{13}[/tex])²

4 + 9 = 13

13 = 13

Right! Sides 2, 3, [tex]\sqrt{13}[/tex] are sides of a right triangle.

There is no need to check the other sets.

What is the domain of the graphed function?
{x|1 {y|1 {x\ x is a real number}
O fyly is a real number}

Answers

Answer:

y 1 X (a)y=X2—1 y —l 0 l x <b>y= |x2—1| FIGURE |0 x (input) f(g(x)) (output) FIG ... FROM OLD FUNCTIONS 4| I] EXAMPLE 5 Sketch the graph of the function y = |x2 ... a manner similar to the way we add, subtract, multiply, and divide real numbers. ... but we can't divide by O and so the domain of fly is {x E A O B| g(x) 75 O}.

Step-by-step explanation:

Answer:

y 1 X (a)y=X2—1 y —l 0 l x <b>y= |x2—1| FIGURE |0 x (input) f(g(x)) (output) FIG ... FROM OLD FUNCTIONS 4| I] EXAMPLE 5 Sketch the graph of the function y = |x2 ... a manner similar to the way we add, subtract, multiply, and divide real numbers. ... but we can't divide by O and so the domain of fly is {x E A O B| g(x) 75 O}.

Step-by-step explanation:

({2_1} + {4_2}) 4
---------------------- =
2
Plz answer

Answers

l'm not sure you need ask google l think so

pls answer this I really need help

Answers

Answer:

320 ft²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (a + b)

where h is the perpendicular height and a, b are the parallel bases

Here h = 16, a = 18 and b = 12 , thus

A = [tex]\frac{1}{2}[/tex] × 16 × (18 + 12) = 8 × 40 = 320 ft²

Please help and explain!!
i will mark brainliesttt!

Answers

Answer:

Δ OPQ ≅ Δ TSU

Step-by-step explanation:

Imagine if these two triangles were to line with one another, so that the lengths of sides QP, and US match knowing that they have similar lengths;

∠ O corresponds to that of ⇒ ∠T, provided they are each right angles,

∠ P corresponds to ⇒ ∠S, knowing that they share common side with length of 25 km so that they match,

Consecutively ∠Q  corresponds to ⇒ ∠U, for a similar reason,

Solution; Thus we can conclude that Δ OPQ ≅ Δ TSU

Arjun is twice as old as Shreya. If five years ago his age was three times Shreya's age, then Arjun's present age is

Answers

Answer:

Arjun is 20 years old and Shreya is 10 years old.

Step-by-step explanation:

5 YEARS AGO-

Arjun: 2x-5

Shreya: x-5

NOW-

Arjun: 2x

Shreya: x

EQUATION-

2x-5=3(x-5) = 2x-5=3x-15

(add 15 on both sides)

2x+10=3x

(subract 2x from both sides)

x=10

Therefore, Arjun is 20 years old and Shreya is 10 years old :)

Solve for x.
x/p³=1

NO ANSWERS CONTAINING CURSE WORDS OR YOU GET REPORTED!!!!!!!!!!!!!!

Answers

Answer:

Since x/p³ = 1 we can multiply the equation by p³ so x = p³.

Answer:

[tex]$\frac{x}{p^3}=1$[/tex]

Multiply both sides by [tex]p^3[/tex]

[tex]x=p^3[/tex]

and [tex]p^3 \neq 0[/tex] otherwise, it is undefined.

Please help answer ASAP!

Answers

Answer:

A, C

Step-by-step explanation:

In order to do this, you should multiply each fraction in the answer choices. Do this by multiplying the numerators together and then multiplying the denominators together. Then divide the numerator product with the denominator product

For example, with [tex]\frac{2}{5}[/tex] x [tex]\frac{6}{7}[/tex] multiply 2 and 6 to get 12. Then multiply 5 and 7 to get 35. Then, divide 12 and 35 to get 12/35

Answer:

A and C.

hope this helps

The length of a rectangle is twice its width. The perimeter of the rectangle is 156 feet. What is the length and the width of the rectangle?​

Answers

Answer:

Length = 26, Width = 52

Step-by-step explanation:

156/6 = 26

26*2=52

Answer: The length will be 52 and the width will be 26

Step-by-step explanation:

If the formular to calculate Perimeter of a rectangle is

P = 2* (L+W)

and the length L= 2W.

156 = 2* (2W+ W)

156 = 2* (3W)

156 = 6W

Solving for W

W= 26

Since in the question the Length L is 2* W(width)

L= 2* 26 = 52

Matthew obtained a balloon mortgage but was late on a few payments during
the period of the loan. Which of the following is an unlikely option for him
once the balloon payment becomes due?
A. Sell the home
B. Refinance the balloon payment
C. Foreclosure
D. Pay balloon payment in full

Answers

Answer: A

Step-by-step explanation:

This should be ab easy 11 points for someone!
Which graph is represented by the piecewise function?

Answers

The fist one is A and the other one y A

A bucket holds 8 liters of water. If a ladle can scoop out 1/4 of a liter, how many scoops will it take to empty the bucket?

Answers

Answer:

it would take 32 scoops

Step-by-step explanation:

I need help with these two questions. I will mark brainliest

Answers

Answer:

5. A= pi [tex]r^{2}[/tex]                             r=radius              d=diameter

   C= pi 2r/ d

   A= pi [tex]6^{2}[/tex]

   A= 36pi

_____________________

    C=pi 2(6)/12

    C=12pi

____________________________________________________________

6. A=pi [tex]4^{2}[/tex]

   A=16pi

_____________________

  C=pi 2(4)/8

   C=8pi

____________________________________________________________

Sorry I couldn't find the symbol for pi

A box contains all the letters of the word UNDERSTAND. What is the probability of

selecting an 'N' first and a 'D' next, if the first letter is replaced?

1/25

3/50

1/10

2/5

Answers

Answer:

1/25

Step-by-step explanation:

2/10 for n

2/10 for d

2/10 times 2/10 equals 4/100

which simplifies to

The required probability is [tex]\dfrac{1}{25}[/tex]. So, option A is correct.

Important information:

A box contains all the letters of the word UNDERSTAND.Probability:

The number of N's is 2 and the number of D's is 2.

Total number of letters is 10.

Probablity of getting 'N' in first place is [tex]\dfrac{2}{10}=\dfrac{1}{5}[/tex].

The first letter is replaced.

Probablity of getting 'D' in second place is [tex]\dfrac{2}{10}=\dfrac{1}{5}[/tex].

Now, the probability of selecting an 'N' first and a 'D' next is:

[tex]\dfrac{1}{5}\times \dfrac{1}{5}=\dfrac{1}{25}[/tex]

Therefore, the correct option is A.

Find out more about 'Probability' here:

https://brainly.com/question/12995031

use technology to determine an approximate solution to the system
y=-0.44x+12.6 and y=-7.21x-55.6. Explain the procedure.

Answers

Answer:

The approximate solution to both systems is y = 17.03256 & x = - 10.074

Step-by-step explanation:

Because we have 2 equations we can simply graph each of them simultaneously and find the answer.

First we are going to graph y = - 0.44x + 12.6

Now.. We are going to graph y = - 7.21x - 55.6

Now that we have graphed both of our functions we know that the locations where the two lines meet otherwise known as the intersect is the solution to the equation.

Now that we know coordinate of x at the intersection point of the two lines is: - 10.074, we can input this number in as a substitute for our x because x = - 10.074

Therefor to verify,

y = - 0.44(-10.074) + 12.6

y = 17.03256

and now we substitute y into the other equation and find for x...

17.03256 = - 7.21x - 55.6

x = - 10.074

Which choice is equivalent to the product below? √8*√5 A. 4√10 B. 10√2 C. 2√10 D. √13

Answers

Answer:

(C)

Step-by-step explanation:

√8 × √5

= 2√2 × √5

= 2√10

The equivalent expression of √8*√5  is 2√10

How to determine the equivalent expression?

The expression is given as:

√8*√5

Evaluate the product

√8*√5  = √40

Express 40 as 4 * 10

√8*√5  = √4 * 10

Take the square root of 4

√8*√5  = 2√10

Hence, the equivalent expression of √8*√5  is 2√10

Read more about equivalent expression at:

https://brainly.com/question/2972832

#SPJ9

How to simplify it? ​

Answers

The answer is -1 because
First you have to make the denominators equal so
-2(e-3f) = 6f-2e so if you multiply -2 to the numerator and denominator the fraction has the same value.
Once the denominators are equal you can get rid of them so you are left with
-2+1= -1
Hope this helps :)

Encouraged by his investment, Joseph decides to open another CD account. This time, he deposits $1,000 and plans to leave it
untouched for 3 years. In exchange, the bank will pay him 0.3% interest every month. How much will be in the account when the 3
years have passed?

Answers

Answer:

Joseph will have 1,108$ in his bank account when he opens it again.

First, we need to know how much 0.3% of 1000$ is, which is 3$.

Next, since there are 12 months in a year we multiply 3$ by 12 which is 36.

Then, since 3 years have passed we multiply 36$ by 3 which is 108$. So in conclusion, he'll have 1,108$ when he checks his account again.

Answer:

$1,113.87

Step-by-step explanation:

The initial value is 1,000, the rate of increase is 1.003, and the number of times it will increase is 36. y=1000 ( 1.003 ) 36 =1,113.87y equals 1000 left parenthesis 1.003 right parenthesis superscript 36 baseline equals 1113.87.

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