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81101.

the side AB,BC and median AD of the triangle ABC are respectively proprotionl to PQ, QR and median of triangle PQR

Answer»

Given: ΔABC and ΔPQR, AB, BC and median AD of ΔABC are proportional to sides PQ, QR and median PM of ΔPQR

i.e., AB/PQ = BC/QR = AD/PM

To Prove: ΔABC ~ ΔPQR

Proof: AB/PQ = BC/QR = AD/PM

⇒ AB/PQ = BC/QR = AD/PM (D is the mid-point of BC. M is the mid point of QR)

⇒ ΔABD ~ ΔPQM [SSS similarity criterion]

∴ ∠ABD = ∠PQM [Corresponding angles of two similar triangles are equal]

⇒ ∠ABC = ∠PQR

In ΔABC and ΔPQR

AB/PQ = BC/QR ...(i)

∠ABC = ∠PQR ...(ii)

From equation(i)and(ii), we get

ΔABC ~ ΔPQR [By SAS similarity criterion]

👍👍thank you👍👍

81102.

2. In a triangle ABC, E is the mid-point of medianAD. Show that ar (BED) ar(ABC)4

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81103.

The cost of cultivating a rectangular field atき35 per square metre is? 7 1400, If the width ofthe field is 40 m, find its length. Also, find the cost of fencing the field at R 50 per metre

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81104.

e cost of cultivating a rectangular field at 35 per square metre is R 71400. If the width ofthe field is 40 m, find its length. Also, find the cost of fencing the field at 750 per metre

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81105.

6,-phe dimensions ofan oil tin are 26 cm × 26 cm × 45 cm. Find the area of the tin sheet required for making20 such tins. If 1 sq m of the tin sheet costs10, find the cost of tin used for these 20 tins.

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81106.

6. The dimensions of anoil tin are 26 cm × 26 cm × 45 cm. Find the area of the tin sheet required for makin20) such tins. If I sq m of the tin sheet costs乏10, find the cost of tin used for these 20 tins.

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81107.

TUN HUSRELISTIWILI HUVISOLIC CUTUTTI2. The sum of three consecutive odd natural numbers is 69. Find the prime number out of these numbers.edbaumhor which in multi

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22,23,24 is the answer

22,23,24 is the correct answer of this question which I find

22 , 23 , 24 are correct answers

22,23,24 is thw answer

22,23,24 is correct answer

22;23,24 is the right answet

81108.

ek rail45km/h ki gatti see ek khambhe ko par Karne me kitne time me paar karagi yadi 1200miter lami rail hai to time =?

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Speed = distance/time

distance = 1200 m = 1200/1000 = 1.2km

time = 1.2/45time = 0.0267 hrs

81109.

3. The cost of 37 m of silk is6290. What length of this silk can be purchased for R 4420?4625 for ho

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81110.

A man throws a die three times. If in first throw an odd prime occurs then he adds the numbersappearing in next two draws otherwise he multiplies them. Find the probability that number thusobtained is an even number.

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81111.

Find the cardinal number of the following sets(i) A {months of a year )(i) B - (letters in the word MATHEMATICS(iii) C prime numbers less than 10)(iv) D- odd numbers divisible by 2 )(v) E-{even numbers which are prime))

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Cardinality are given belowi) 12

ii) 8

iii) 4

iv) 0

v) 1

81112.

write all prime numbers. (1-100)

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There are 25prime numbersbetween1and100. They are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.

Tnx bro

81113.

Find the silnpe mterest ori「0300 at 8% per annum lor o mWhat sum will amount to6600 in 2 years at 10% per annum sisimple interest?unt to R4495

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LetP=100

R=10%Time=2yr

Amount =6600

Si=pxrxt /100

=100x10x2/00=20

Amount = principal + interest

=100+20=120

According to the question it is 6600

1 unit assumed =6600/120

=55

Then sum or principal =100x55=5500

Like my answer if you find it useful!

81114.

9.What are co-palways prime? Give examples in support of your answerrime numbers? Give examples of four pairs of co- prime numbers. Are co-prime numbers

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it is wrong answer

81115.

6. What is the difference between the compoundinterest and simple interest on 8000 at 15% perannum for 2 years?(a) 280(c) 80(b) R 100(d) No difference

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C.I.A=p[1+r/100]2 = 8000[1+15/100]2 = 8000[100+15/100]2 = 8000[115/100]2 = 8000* 115/100* 115/100 = 10580I = A -P = 10580 - 8000 = 2580S.I.S.I. = P*R*T/100 = 8000 *15 * 2/100 = 2400Difference =C.I. - S.I. = 2580 - 2400 = 180

81116.

Ram borrowed R 1100 from a money-lender for twoyears at the rate of 5% per annum. Its Simpleinterest (S.I.) will be

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81117.

Tthe adjoining figure represents a rectangular lawn with a circular flower bed in themiddle. Find:n the area of the whole land i) the area of the flower bedi) the area of the lawn excluding the area of the flower bedv the circumference of the flower bed.2mIV

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81118.

2.In a triangle ABC, E is the mid-point of medianAD. Show that ar (BED)ABC)

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81119.

In a triangle ABC, E is the mid-point of medianAD. Show that ar (BED)=-ar(ABC)4

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81120.

If sin A, cos A are roots of the equation mx^2+nx+1=0, then find the relation between m and n.

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The equation given is px^2 + qx + r = 0. Its roots are sinθ and cosθ.For this equation,

Product of roots = r/p=> sinθ.cosθ = r/p

Sum of roots = -q/p=> sinθ + cosθ = -q/p (because the roots are sinθ and cosθ)

Squaring both the sides, we'll get

=> (sinθ + cosθ)^2 = (-q/p)^2=> sin^2 θ + cos^2 θ + 2sinθ.cosθ = q^2/p^2=> 1 + 2sinθ.cosθ = q^2/p^2 (using sin^2 θ + cos^2 θ = 1)

Now, here, we will substitute the value of sinθ.cosθ we calculated in the beginning.

=> 1 + 2(r/p) = q^2/p^2=> (p + 2r)/p = q^2/p^2=> (p + 2r) = q^2/p=> p^2 + 2pr = q^2=> p^2 - q^2 + 2pr = 0

81121.

11. The cost of cultivating a rectangular field at 35 per square metre is ? 71400. If the width ofthe field is 40 m, find its length. Also, find the cost of fencing the field at 50 per metre.

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81122.

L, Jasjit was given 7 of a basket of mangoes. What fraction of mangoes was left in the basket

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Mangoes left behind = 1 - (3/7)= 4/7.

81123.

The dimensions of an oil tin are 26 cm x 26 cm x 45 cm. Find the area of tin sheetrequired to make 20 such tins.

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81124.

-GAndr-the-mindthewing Segoencasenmx2

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the series can be written as.. given t1 = 3.and tn = t(n-1)/n² so put n=1 t2 = t1/2² = 3/4 t3 = t2/3² = (3/4)/9 = 1/12t4 = t3/4² = (1/12)/16 = 1/192...and so on..

81125.

14. Express each of the following numbers as the sum of two odd primes:(1) 36(ii) 42(111) 84(iv) 9815. Express each of the following odd numbers as the sum of three odd prime numbers:(1) 31(1) 35(iii) 49(iv) 6316 Fynress each of the following numbere ne the eum of tuin nimee

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81126.

I raciceoAVery Short Answer QuestIfand no are two odd prime numbers 10. Findby alinclusuch that n> n2. then write the nature of

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Letn1=n2+2a,wherea∈NWehave,n12-n22=n2+2a2-n22=n22+4an2+4a2-n22=4an2+4a2=4an2+aHere,ifaisevennumber,then4an2+awillbedivisibleby8Andifaisoddnumber,thenn2+awillbeevennumberandSubsequently4an2+awillbedivisibleby8.Hence,n12-n22ispositivemultipleof8.

81127.

All prime numbers except G are odd.' Find thevalue of G in the statement7.

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The value of G is 2 because it is the only even prime number.

81128.

The sum of the square of two consecutive even numbers is 340. Find the numbers.

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81129.

years3600 amount to4410 at4. In what time willwill a sum double itself in 12 years?f t what rate per cent per annum simple interestin rate of simple interest. Find

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81130.

r annum simple interest and B borrows9100 at 10% per annumA borrows? 8000 at 12% pesimple interest. In how many years will their amounts be equal?

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81131.

in triangle ABC, E is any point of median AD. show that ar(BED)=1/4ar(abc)

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81132.

1 /kmreedti200 from Jamshed at 6% per annum simple interest for 2 year!Halfbnowed this sum at 6% per annum compound interest, what extra amountwldI have to puy?

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81133.

In a tiangle ABC E is the mid-point of medianAD Show that ar (BED)ar(ABC)

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81134.

13. Find lim + an +713.3n + 2n +51Find limnx on +4n+7

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81135.

A rectangular grassy plot is 112 m long and 78 mbroad. It has a gravel path 2.5 m wide all around it onthe side. Find the area of the path and the cost ofconstructing it at Rs 4.50 per square metre.

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81136.

One basket has 48 apples, another basket has 56apples. How many apples are in both baskets?

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total apples will be 48+56 =104 apples

81137.

A woman was carryingwas carrying a basket ofeggs to the market whenpasserby bumped into herdropped the basket and all +eggs broke. The passerby, wishirto pay for her loss, asked, “Howmany eggs were in your basket?"" don't remember exactly”, thewoman replied, “but I do recall thatwhen I divided the number of eggsby 2, 3, 4, 5, or 6, there was alwaysan egg left over. When I took theeggs out in groups of seven, 1emptied the basket." How manyeggs did she have?

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She had 301 eggs in her basket.

81138.

Plot two paints P(1.3) and Q(2 6) on theLoraph sheet. Now plot reflections of P andaTin X-axis and name them as sandrespectuely. Identify the figure PQRS.

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P(1,3)Q(2,6)S(1,-3)R(2,-6)PQRS will be a trapezium.

Hope it helps.Mark as best if I am correct.

PQRS will be atrapezium

its a trapezium.....

make Cartesian plane and plot the points

81139.

ç” [Find the number of numbers less than 1,000 and divisible by 5 which canbe formed with the digits 0, 1, 2, 3, 4, 5, ,6, 7, 8, 9; each digit occurring notmore than once in each number.]

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5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 60, 65, 70, 75, 80, 85, 90, 95

105, 120, 125, 130, 135, 140, 145, 150, 160, 165, 170, 175,180, 185, 190, 195

205, 210, 215, 230, 235, 240, 245, 250, 260, 265, 270, 275, 280, 285, 290, 295,

305, 310, 315, 320, 325, 340, 345, 350, 360, 365, 370, 375, 380, 385, 390, 395

405, 410, 415, 420, 425, 430, 435, 450, 460, 465, 470, 475, 480, 485, 490, 495

510, 520, 530, 540, 560, 570, 580, 590, 605, 610, 615, 620, 625, 630, 635, 640,

645, 650, 670, 675, 680, 685, 690, 695, 705, 710, 715, 720, 725, 730, 735, 740

745, 750, 760, 765, 780, 785, 790, 795, 805, 810, 815, 820, 825, 830, 835, 840,

845, 850, 860, 865, 870, 875, 890, 895, 905, 910, 915, 920, 925, 930, 935, 940

945, 950, 960, 965, 970, 975, 980, 985

81140.

The sum of two consecutive even numbers is 26.Find the numbers.

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81141.

The sum of two consecutive even numbers is 74. Find the numbers.

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81142.

In how many years will a sum of money double itself at 10% Simple Interest per annum?

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Give me solution

81143.

51. Find the sum of first n:(i) natural numbers(ii) odd prime numbers(iii) even prime numbers.

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i. n(n+1)/2ii.n*niii.n(n+1)

81144.

The sum of two consecutive even numbers is 74. Find the numbers

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81145.

per annum сьоinterest.does Aakash get after 3 yearsind the difference between the compound interest and simple interest on a sum50,000 at 10% per annum for 2 years.7

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Note P - Principle or sum of money R - Rate of interest T - TimeThe difference between Compound Interest (CI) and Simple Interest (SI) is = ₹0.......

the answer wrong

81146.

Find the rate of simple interest per annum in each of(1) P = 8850years and I = 1858.50

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81147.

a+b/a=cIn the equation above, if "a" is negative and "b" ispositive, which of the following must be true?A) c > 1B) c = 1C) c = −1D) c < −1

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a is always -ve and b/a is +ve/-ve => -ve

so, -ve +(-ve) = -ve = c

also, when b and a will tend to approach →0then the least value of b/a will become -1... so, the expression a+b/a will always be < -1 so c < -1

option D.

81148.

A borrows 8000 at 12% per annum simple interest and B borrows? 9100 at 10% peannum simple interest. In how many years will their amounts be equal?

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Thanks

81149.

416 32= {1, 2, 3, 4, 5, 6, 7, 8, 9(if 12 = {1, 2, 3, 4, 5, 6, 7, 8, 9A. {1, 2, 8, 9, 10} B1+tan? e6.1+ cotle = ?on7.A. tan? eFaqa ABC # cotA 18

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81150.

\lim _{x \rightarrow 0} \frac{\sqrt{b^{4}+x^{4}}-\sqrt{b^{4}-x^{4}}}{x^{4}}

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are u understand??

are u understand??