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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.

26101.

There is a parallelogram in whichABIICD and AD||BC and prove that

Answer»

ANSWER:

kdslksjfkaodfkskskkfxkw

26102.

6 A vessel is in the form of a hemisphere bowlmounted by a hollow cylinder. The diameter of thehemisphere is 16 cm and the total of height of thevessel is 15 cm. Find the capacity of the vessel.227take, t =722​

Answer»

ANSWER:

Height of cylinder= Height of bowl− RADIUS of hemisphere=13−7=6 cm

Now, CAPACITY of bowl = Volume of hemisphere + volume of cylinder

=

3

2

πr

3

+πr

2

h

=

3

2

×

7

22

×7

3

+

7

22

×7

2

×6

=

3

(2×22×49)

+22×42

=

3

2156

+924

=718.67+924

=1642.67cm

3

Step-by-step EXPLANATION:

hope it helps you

26103.

* If the vertices of a triangle ore A(2,0) B(1,4), C(6.0) then the distance between thecentroid and the orthocenter is​

Answer»

Answer:

CLEARLY given TRIANGLE is an isosceles right angle triangle .

So, we know that  orthocentre will be at vertices A i.E (0,0). 

(At which angle is 900)

And circumcenter will be mid point of HYPOTENUSE i,e (1,1)   

Thus required distance is =12+12=2

Step-by-step explanation:

please follow me and like my answer

26104.

At present Asha’s age (in years) is 2 more than the square of her daughter Nisha’s age. When Nisha grows to hermother’s present age, Asha’s age would be one year less than 10 times the present age to Nisha. Find the present ages of both Asha and Nish​

Answer»

Step-by-step EXPLANATION:

SUPPOSE present age of Nisha = x years

-> Asha's age is 2 more than the square of nisha's age

Therefore, Asha's age = x^2 + 2

-> When Nisha GROWS as much as Asha

i.e. Nisha's age will be x^2 +2

-> Asha's age would be 1year less than 10 times nisha's present age

i.e. Asha's age = 10X - 1

26105.

If one zero of the quadratic polynomial x^2+3x+k is 2 ,then the value of k isa) 10b)-10c) 5d) -5Hey guys ....solve this question yrr​

Answer»

x^2+3x+k=2

x^2+3x-2=k

hope it will HELP U BRO

26106.

Explain step by stepAmy's weight this year is 50 pounds less than twice her weight from last year. If she weighs 120 pounds this year,write an equation for her weight last year and calculate her weight from last year. Choose three or more different weights for amy, maintaining the same conditions, and graph the relationshipfor a variety of cases. based on your observation, does the graph make sense? Explain your finding

Answer»

ANSWER:

let AMY's WEIGHT last year be X

and this year her weight is Y

thus Y=2X-50

Now, According to the question she weights 120 pounds this year i.e Y=120

120=2X-50

120+50=2X

170/2=X

X=85

thus, last year her weight was 85 pounds

26107.

Write down your answers.34go backto the12?27Start15141658gobackfive31079Fraction735moveforwardwo266101725gobackthree2.451gobacktwo9ON91056936.moveforwardthree2.45goback389571 & Finishten​

Answer»

ANSWER:

what is this I didn't UNDERSTAND ur QUESTION WRITE clearly

26108.

Choose which best explains the distributive property.a property of the real numbers that states that the order in which numbers are added or multiplied does not change the valuea property of the real numbers that states that how numbers are grouped in a sum or product does not change the valuea(b + c) = ab + ac, or a(b - c) = ab - ac

Answer»

ANSWER:

not SURE about answer.........

26109.

When a cricket ball is thrown vertically upwards, it reaches a maximum height of 5 metres.(a) What was the initial speed of the ball ?(b) How much time is taken by the ball to reach the highest point ? (g =10 m s-2)​

Answer»

ANSWER:

LOOK in the piccccccccc

26110.

If sec A + tan A = p, prove that sin A = ^2 – 1/p^2 + 1​

Answer»

Step-by-step EXPLANATION:

here you go

hope it HELPS U

26111.

| ਲਗ ਚਾਰQ6.The sum of successive odd numbers1, 3, 5, 7, 9, 11, 13 and 15 isਟਾਂਕ ਸੰਖਿਆਵਾਂ 1, 3, 5, 7, 9, 11, 13 ਅਤੇ 15 ਦਾਜੋੜ ਹੈ ? | ਸਿਲ ਗਿਥਸ ਬੰਦਧਾਮੀਂ 1, 3, 5, 7,੧, 11, 13 ਸੀਦ 15 ਧੀਵੈ ? *O 81O 64O 49O 36​

Answer»

ANSWER:

OPTION B = 64

Step-by-step explanation:

1+3=4

4+5=9

9+7=16

16+9=25

25+11=36

36+13=49

49+15=64

26112.

4. In AABC, D and E are points on the sides AB and AC respectively, such that DE || BC.If AD = 5 cm, DB = 8 cm and AC = 6.5 cm, find AE.​

Answer»

ANSWER:

Converse of basic proportionality theorem :  

If a line divides any two SIDES of a triangle in the same ratio then the line must be parallel to the third side.

SOLUTION :

1)  Given : D and E are the points on sides AB and AC. AB = 12 cm, AD = 8 cm, AE = 12 cm, and AC = 18 cm.

To prove : DE || BC.

DB= AB - AD

DB = 12 - 8

DB = 4 cm

EC = AC - AE

EC = 18 - 12

EC = 6 cm

In ∆ABC,

AD / DB = 8/4 = 2

And,  AE/EC = 12/ 6 = 2

so, AD / DB = AE/EC

Hence, DE || BC.

[By Converse of basic proportionality theorem]

2)  Given : D and E are the points on sides AB and AC.  AB = 5.6 cm, AD = 1.4 cm, AC = 7.2 cm, and AE = 1.8 cm.

To prove : DE || BC.

DB= AB - AD

DB = 5.6 - 1.4

DB = 4.2 cm

EC = AC - AE

EC = 7.2 - 1.8

EC = 5.4 cm

In ∆ABC,

AD / DB = 1.4 /4.2 = 1/3

And,  AE/EC = 1.8/ 5.4 = 1/3

so, AD / DB = AE/EC

Hence, DE || BC.

[By Converse of basic proportionality theorem]

3) Given : D and E are the points on sides AB and AC.   AB = 10.8 cm, BD = 4.5 cm, AC = 4.8 cm, and AE = 2.8 cm

To prove : DE || BC.

AD = AB – DB  

AD = 10.8 – 4.5

AD = 6.3 cm

EC = AC – AE  

EC = 4.8  – 2.8  

EC = 2 cm

In ∆ABC,

AD / DB = 6.3/4.5 = 7/5  = 1.4

MARK AS BRAINLIEST AND GIVE THANKS

26113.

A given wire of resistance 1 2 is stretched to doubleits length. What will be its new resistance ?​

Answer»

ANSWER:

THANKS for FREE POINTS

26114.

05.Therange of the data 30,61,55,56,60, 20, 26, 46, 28,56 is ..../टिंडे शिवडे 30,61,55,56, 60, 20, 26,46,28,56 टी हितप्लठ मीमाचै। / दिए गए आंकड़े 30, 61, 55, 56, 60,20, 26, 46,28,56 की विचलन सीमाहै*1* 26O 30O 41O 61​

Answer»

Given \: data : 30,61,55,56,60,20,26,46,28,56

Least \: value \: in \: the \: data = 20

Heighest\: value \: in \: the \: data = 61

\red{ Range } \green { = Heighest\: value- Least \: value }

= 61 - 20

= 41

THEREFORE.,

\red{ Range\: of \: the \:data }\green { = 41 }

•••♪

26115.

Amy's weight this year is 50 pounds less than twice her weight from last year. If she weighs 120 pounds this year, write an equation for her weight last year and calculate her weight from last year. Choose three or more different weights for amy, maintaining the same conditions, and graph the relationshipfor a variety of cases. based on your observation, does the graph make sense? Explain your finding

Answer»

Given :   Amy's WEIGHT this year is 50 pounds less than twice her weight from last year.  she weighs 120 pounds this year,

To Find : an EQUATION for her weight last year and calculate her weight for last year.

Solution

Assume that last year Amy's weight  =  W pound

Amy's weight this year is 50 pounds less than twice her weight from last year.

= 2 W - 50

she weighs 120 pounds this year

=> 2W - 50  = 120

=> 2W = 170

=> W = 85

Amy's weight last Year = 85 Pound

W    Last Year  Weight

50 50

60 55

70 60

80 65

90 70

100 75

110 80

120 85

130 90

140 95

150 100

Graph is linear

Learn more:

The equation above shows how temperature F

brainly.in/question/8337141

represent the cost of parking for four wheeler in terms of linear ...

brainly.in/question/14142878

26116.

Q 4.In the given polygon, BO = 7x + 4 andOD = 18 Find x. /ft3 HJSH ËJ BO = 7x + 4HD OD = 18 7 x मॅप्ल या व। / दिए गएबहुभुज में, BO = 7x + 4 और OD = 18 हो तो xमान ज्ञात करें*BCAD090203603​

Answer»

QUESTION :- 4.In the given polygon, BO = 7x + 4 and OD = 18. Find x ?

Solution :-

As from image we can see that, we have given

→ BC is parallel to AD .

AB is parallel to DC.

So, Polygon ABCD is a parallelogram.

Now, Diagonals BD and CA of parallelogram are intersecting at O.

As we know :-

  • The diagonals of a parallelogram bisect each other.

Therefore,

  • BO = OD
  • AO = OC.

Than,

BO = OD

→ 7x + 4 = 18

→ 7x = 18 - 4

→ 7x = 14

Dividing both sides by 7,

→ x = 2. (ANS.)

Hence, value of x will be 2.

26117.

Q14. Find the smallest number to beadded in 1300 to make it a perfectsquare. / 1300 हुं युवठ हा प्वटाहिट प्लप्टीਉਸ ਵਿੱਚ ਜੋੜਨ ਵਾਲੀ ਸਭ ਤੋਂ ਛੋਟੀ ਸੰਖਿਆ ਲੱਭੋ ||1300 को पूर्ण वर्ग बनाने के लिए उस में जुड़नेवाली सबसे छोटी संख्या ज्ञात कीजिए।'​

Answer»

Answer:

13 is the smallest number to be added in 1300 to make it a PERFECT

26118.

В5. Line / is the bisector of an angle Z A and B is anypoint on I. BP and BQ are perpendiculars from Bto the arms of Z A (see Fig. 7.20). Show that:(1) AAPB = A AQB(ii) BP = BQ or B is equidistant from the armsof ZABFig. 7.20GUYS PLS HELP ME ITS URGENT ​

Answer»

ANSWER:

i WIL give you ans

Step-by-step EXPLANATION:

I WILL GIVE YOU YOUR ANSWER THEN YOU MARK ME BRAINLIEST

26119.

Q.N.1 . 7×11×13 +11 is a *1 pointPrime numberComposite numberOdd number

Answer»

ANSWER:

1012 is the answer HOPE it will HELP U

26120.

Q 4.In the given polygon, BO = 7x + 4 andOD = 18 Find x. /f83 AJSH ËJ BO = 7x + 4HD OD = 18 7 x ट मॅप्ल पठ वते । / दिए गएबहुभुज में, BO = 7x + 4 और OD = 18 हो तो xमान ज्ञात करें*BCD​

Answer»

Question :- .In the given POLYGON, BO = 7x + 4 and OD = 18. Find x ?

SOLUTION :-

As from IMAGE we can see that, we have given

→ BC is parallel to AD .

→ AB is parallel to DC.

So, Polygon ABCD is a parallelogram.

Now, Diagonals BD and CA of parallelogram are intersecting at O.

As we know :-

  • The diagonals of a parallelogram bisect each other.

Therefore,

BO = OD

AO = OC.

Than,

→ BO = OD

→ 7x + 4 = 18

→ 7x = 18 - 4

→ 7x = 14

Dividing both sides by 7,

→ x = 2. (Ans.)

Hence, value of x will be 2.

26121.

Q3.Number 53934 is divisible by which ofthe following numbers?./ठ प्लिवियां हिंडेमंविना 53934 विम मविभा ठप्प्ल ठातजेठा चै?/निम्नलिखित में से संख्या 53934 किस संख्या सेविभाज्य है?*050403O8​

Answer»

ANSWER:

It is DIVISIBLE by 3

Step-by-step explanation:

Hope it will HELP you

26122.

A right-angled triangle with one of the sides forming the right angle as 3cm and area of the triangle 6cm2 find the perimeterfor 5 grade pls

Answer»

Answer:

12

3+4+5=12

HOPE this will HELP you

26123.

. If a, ß are the zeros of polynomial x2-2x+1, then product1 1of zeros of a polynomial having zerosandB1(a) 1(c)αβ(d) All the aboveα(b) aß​

Answer»

️️️️e5x5xyf6xihugf7g7h7g6g5g6hihicifugygtgrf4

26124.

Write the given numbers and their number names in both international and indiansystem of numeration 123456789 987654321​

Answer»

SOLUTION: 1,23,45,67,89: one tencrore TWENTY THREE crore fourth five lakh sixty seven thousand eight hundred nine

Step-by-step EXPLANATION:

international system: 123,456,789: onehundred twenty three million four hundred fifty six hundred thousand seven hundred eighty nine

26125.

ਹੇਠਾਂ ਦਿੱਤੇ ਚਿੱਤਰ ਦੁਆਰਾ ਦਰਸਾਈ ਗਈ ਸਮੀਕਰਣ ਕਿਹੜੀ ਹੋਵੇਗੀ, ਜੇਕਰ ਪੂਰੇ ਚਿੱਤਰ ਨੂੰ 1 ਪੂਰਨ ਮੰਨਿਆ ਜਾਵੇ। Choose the equation represented by the following diagram. The entire diagram represents 1 as Whole. निम्नलिखित चित्र द्वारा दर्शाया गया व्यंजक कौन सा होगा, अगर पूरे चित्र को एक पूर्ण माना जाए। *Option 1Option 2Option 3none of these(ਇਹਨਾਂ ਵਿੱਚੋਂ ਕੋਈ ਨਹੀ) (इनमें से कोई नहीं)hi​

Answer»

ANSWER:

rkowjelakfbdkdjskbdkdfjsojjs

Step-by-step EXPLANATION:

KWKR

26126.

82 points1. Which one of these haslowest value ? *ग15339/-12949/-0026521/-12499/-Fridge0 Washing machineL.E.DAC​

Answer»

ANSWER:

440 ERROR FOUND answer is not found

26127.

If AB//CD Find x4x and 5x.

Answer»

ANSWER:

where is TRANSVERSAL LINE

26128.

Prove thatcos 55 degrees sin 35 degrees+sin 55 degrees cos 35 degrees=1

Answer»

ANSWER:

cos55°sin35°+sin55°cos35°=1

LHS

cos55sin(90-55)+sin55cos(90-55)

cos²55°+sin²55°

1

26129.

Isosceles triangles ABC and A'B'C' are congruent with base BC and B'C' respectively. If C is represented by (2x + 10) and C' is represented by x + 30, then measure of C isa) 40b) 50c) 70d) 90...​

Answer»

Answer:

#Red official

Follow me for 50 POINT questions.

There is 2X - 10 not 2x + 10

2x - 10 = x + 30

x = 40

26130.

. If - 15mn^p? is divided by = m*n*p. The_90n p4(b)quotient is-5(a)3m?-90(c)3т3(d) -90m3m т​

Answer»

ANSWER:

I am not UNDERSTANDING

26131.

Find all the zeroes of the polynomials1 ). x2-2x2 ).5√5 x2 +30x +8√5

Answer»

ANSWER:

jdkdjdjbdbrbf tvfbtbtbtbtbbtbtbtntjt

26132.

Q8.Which of the following numbers is not a perfect cube? /ਹੇਠ ਲਿਖਿਆਂ ਵਿੱਚੋਂ ਕਿਹੜਾ ਪੂਰਨ ਘਣ ਨਹੀਂ ਹੈ? / निम्नलिखित संख्या में से कौन सा एक पूर्ण घन नहीं है? * 216576125343

Answer»

Answer:

576

Step-by-step EXPLANATION:

it is not the PERFECT CUBE no.

26133.

In a month, a man spent 40% of his incomeon food, 15% on education, 10% on transport,15% on entertainment and 5% on miscellaneous expenditure he saved the rest. if his savings are ₹4500, find a. his monthly salaryb. amount spent on food.c. amount spent on transportd. amount spent on education​

Answer»

ANSWER:

his MONTHLY salary

Step-by-step EXPLANATION:

i HOPE it HELPS you

26134.

33. The reflection of point (-3, 5) with respect to the x-axis is :(a) (-3, - 5) ( b) (-3, 5)c) (3, 5)(d) (3, - 5)plzz explain​

Answer»

ANSWER:

(-3, -5)

Step-by-step EXPLANATION:

HOPE you like the answer. PLEASE MARK as Brainliest answer

26135.

Hey friendsplease go to my profile ... go to question list their solve all the unanswered questions of Trigonometry pleasebut hereby too I'm giving u those two questionsI'm having the problem with calculationsno spam or I'll surely report​

Answer»

ANSWER:

sin C = (Side opposite to ∠C)/(HYPOTENUSE) = AB/AC

cos C = (Side ADJACENT to ∠C)/(Hypotenuse) = BC/AC

tan C = (Side opposite to ∠C)/(Side adjacent to ∠C) = AB/AC = sin ∠C/cos ∠C

cosec C= 1/sin C = (Hypotenuse)/ (Side Opposite to ∠C) = AC/AB

sec C = 1/cos C = (Hypotenuse)/ (Side Opposite to ∠C) = AC/BC

cot C = 1/tan C = (Side adjacent to ∠C)/(Side opposite to ∠C)= BC/AB

26136.

If the mean of a data is 316 and the sum of its observation is 3792.find the number of observations in the data. ( explain it step by step)THANK YOU^^

Answer»

ANSWER:

THANK you for FREE POINTS

26137.

What are points of origin on a cartisian plane?What is equation of X-axis ?What is equation of Y-axis ?​

Answer»

ANSWER:

The points or COORDINATES of ORIGIN on a CARTESIAN plane is (0,0).

The equation of x-axis is (0,y)

The equation of y-axis is (x,0)

26138.

Q => In the given figure, altitudes AD and CE of ∆ ABC intersect each other at the point P. Show that:(i) ∆AEP ~ ∆ CDP(ii) ∆ABD ~ ∆ CBE(iii) ∆AEP ~ ∆ADB(iv) ∆ PDC ~ ∆ BEC​

Answer»

HERE IS YOUR ANSWER MATE.....;

Given that AD and CE are the altitudes of TRIANGLE ABC and these altitudes intersect each other at P.

(i) In ΔAEP and ΔCDP,

∠AEP = ∠CDP (90° each)

∠APE = ∠CPD (VERTICALLY opposite angles)

Hence, by AA similarity criterion,

ΔAEP ~ ΔCDP

(ii) In ΔABD and ΔCBE,

∠ADB = ∠CEB ( 90° each)

∠ABD = ∠CBE (Common Angles)

Hence, by AA similarity criterion,

ΔABD ~ ΔCBE

(iii) In ΔAEP and ΔADB,

∠AEP = ∠ADB (90° each)

∠PAE = ∠DAB (Common Angles)

Hence, by AA similarity criterion,

ΔAEP ~ ΔADB

(IV) In ΔPDC and ΔBEC,

∠PDC = ∠BEC (90° each)

∠PCD = ∠BCE (Common angles)

Hence, by AA similarity criterion,

ΔPDC ~ ΔBEC

Hope It's Helpful....:)

@ItzPyscho17

26139.

3, ರೇಖೆಗಳು ಮತ್ತುAB | CD, PQ ಛೇದಕವು AB ಮತ್ತು CD ಗಳನ್ನು R ಮತ್ತು Sಗಳಲ್ಲಿ ಛೇದಿಸಿದೆPA4R+ B.sDQಕೆಳಗಿನ ಕೋನಗಳನ್ನು ಹೆಸರಿಸು.ಪರ್ಯಾಯ ಕೋನಗಳು​

Answer»

ANSWER:

can't UNDERSTAND....

26140.

Eight years ago the father age was three times that of his sons ,but two years hence the father age would be twice that of the sons .Find the present age of the father and the son.plzzzz help​

Answer»

ANSWER:

LET father PRESENT age be x YEARS and son present age y years.

Eight years ago

Father age = x - 8

Since age = y - 8

so,x - 8 = 3(y - 8)

x - 8 = 3y - 24

x = 3y - 16 ........(1)

After 2 years,

Father age = x + 2

Son age = y + 2

so, x + 2 = 2(y + 2)

3y - 16 + 2 = 2y + 4

y = 18

so, x= 3(18) - 16 = 54 - 16 = 38

26141.

In how many ways can an employer distribute ? 1000/- as Festival bonus to his fiveemployees? No fraction of a Rupee is allowed. The only condition to be followed isEach employee should get at least 50/-​

Answer»

ANSWER:

PLEASE GIVE me answer I will FOLLOW you please eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee eeeeeeeeeeeee

26142.

2রাগ : 16. দুটি কবাডি দলের বিভিন্ন ম্যাচে প্রাপ্ত পয়েন্ট নীচে দেওয়া হলাে। এদের মধ্যমা নিলয়এ 5, 6, 7, 8, 9, 10, 11, 12, 13, 6, 7, 8, 8, 9, 10, 15, 15, 16, 17, 19, 25 [নিজে করি]​

Answer»

ANSWER:

WRITE in urduuuuu PLZZZZZ

26143.

136. Rohit married 21 years ago at the age of 90 years. His wife's present age is 99 years. If 24 yearslater the average age of Rohit, his wife and their son was 90 years, then what is son's presentage?(A) 15 yrs.(B) 14 yrs.(C) 13 yrs.D) 12 yrs. ​

Answer»

Option D 12 YRS.

Please mark me in brianlist

26144.

6. Ramu cycled from his house to school at 10 km/hr andreturned at the rate of 9 km/hr. Babu cycled both ways at12 km/hr. It was found that for the total journey, Babu took10 minutes less than Ramu. What is the distance betweenschool and the house?​

Answer»

Step-by-step explanation:

10 min = 1/6 hr

avg speed of RAMU= 19/2= 9.5

avg speed of BABU= 24/2= 6

9.5-6= 1/6 hr

2.5*6= 15 km

26145.

Ravi purchased 50 kg rice, 2.75 kg sugar and 3.2 kg dal. What is the total weight of itemsbought by Ravi?​

Answer»

Answer:

50+2.75+3.2 = 55.95

Step-by-step EXPLANATION:

BRAINLIEST PLZ I have not GOT TODAY

26146.

Shilpi purchased 5.25 m cloth for her salwar, 3.6 m cloth for kameez and 2 m cloth fordupatta. Find the total length of cloth purchased by Shilpi?​

Answer»

Answer:

9mitar is the ANWER PLESS FLLOW me and MARK me as a brianlest

26147.

L CM of 63 ,70,77L CM of 12 34 13

Answer»

ANSWER:

LCM of 63, 70 ,77 is :

6930

lcm of 12, 34, 13 is :

2652

26148.

ABCD IS A QUASRILATERAL IN WHICH AD=BC AND angle DAB=ANGLE CBA.PROVE THAT TRIANGLE ABDis CONGRUENT TO TRIANGLE BACBAD=ACANGLE ABD=ANGLEBAC​

Answer»

Answer:

Congruence of TRIANGLES:

Two ∆’s are congruent if sides and angles of a triangle are equal to the corresponding sides and angles of the other ∆.

In Congruent Triangles corresponding parts are always equal and we write it in SHORT CPCT i e, corresponding parts of Congruent Triangles.

It is necessary to write a correspondence of vertices correctly for writing the congruence of triangles in symbolic form.

Criteria for congruence of triangles:

There are 4 criteria for congruence of triangles.

SAS( side angle side):

Two Triangles are congruent if two sides and the included angle of a triangle are equal to the two sides and included angle of the the other triangle.

----------------------------------------------------------------------------------------------------

First use, SAS rule to show congruence of triangles and then use CPCT to show ii & iii parts.

Given:

In quadrilateral ABCD,

AD = BC &

∠DAB = ∠CBA

To Prove:

(i) ΔABD ≅ ΔBAC

(ii) BD=AC

(iii) ∠ABD = ∠BAC

Proof:

i)

In ΔABD & ΔBAC,

AB = BA (Common)

∠DAB = ∠CBA (Given)

AD = BC (Given)

Hence, ΔABD ≅ ΔBAC.

( by SAS congruence rule).

(ii) Since, ΔABD ≅ ΔBAC

Then, BD = AC ( by CPCT)

(iv) Since, ΔABD ≅ ΔBAC

Then , ∠ABD = ∠BAC (by CPCT)

=========================================================

Hope this will help you.....

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DiyaDebeshee

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in triangle ABD and triangle BAC

AB=BC (GIVEN)

∠DAB = ∠ CBA (GIVEN)

AB = BA (COMMON)

THEREFORE, TRIANGLE ABD ≅ TRIANGLE BAC ( BY SAS)

THEREFORE, BD = AC (CPCT)

ALSO, ∠ ABD = BAC (CPCT)

------------------------------------------------------------------------------------------------------------------

hope it is helpful

@ debeshee

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26149.

If 80 cows can graze a field in 36days in how many days with 12 cows graze the same field?​

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ANSWER:

\frac{x \times 12}{80 \times 36 }

x = 240 \: days

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26150.

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