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Find the coordinate of D:

D is the midpoint of BC

coordinates of D=(1+(-3)/2,5+(-1)/2)

(-1,2)

Find the length AD:

=√(y2-y1)^2+(x2-x1)^2

=√(1-2)^2+(5-(-1)^2

=√37

Answer: The length of AD is √37 units

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The answer is: 2,039,190.

For any addition of consecutive numbers from 1 there’s a simple way of working this out. It’s easier if the final number is even, so take the case of 1 to 6.

1+2+3+4+5+6 = 1+6 + 2+5 + 3+4

All these pairs add to the same (the sum of the first and last) and there are half as many as the total. In other words:

Sum of 1 to N(even) = (1+N) * (N/2)

For final odd numbers there is one less pair which is replaced by the central value, so

Sum of 1 to N(odd) = (1+N) * ((N-1)/2) + ((N+1)/2)

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ThankQ

Statement : Equal chords of a circle subtend equal angles at the centre.

Given : AB and CD are chords of a circle with centre O, such that AB = CD.

To prove : ∠AOC = ∠COD

Proof :

In ΔAOB and ΔCOD,

AO = CO [radii of same circle]BO = DO [radii of same circle]AB = CD [given]

ΔAOB ≅ ΔCOD [SSS]∠AOB = ∠COD [C. P. C. T]

Hence, Equal chords of a circle subtend equal angles at the centre

Average monthly expenditure= {7(8,000)+5(9,000)}/12={56,000+45,000}/12= Rs 59,750

The first 15 odd numbers are: 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29The numbers =15=>n=15Sum of first 15 odd numbers=225∴Mean=225/15=15

5x

i will be using A instead of theta we have , cosA+sinA=√2cosAsquaring both the sides =>(cosA+sinA)²=2cos²A=>cos²A+sin²A+2sinAcosA=2cos²A=>cos²A-2cos²A+2sinAcosA= -sin²A=> -cos²A+2sinAcosA= -sin²A=> cos²A-2sinAcosA=sin²Aadding sin²A on both the sides => cos²A+sin²A-2sinAcosA=2sin²A=> (cosA-sinA)²=2sin²A=> cosA-sinA=√2sinA

These are actually the co - ordinates of points ( vertices ) of trapezium. So , first mark them on graph , then join the points the trapezium will be formed.

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2A+B=1 0 -3 2so 2A=1 0 - 3 2= -2 -2 -3 2 11 4 -14 -2so A=-1 -1 -7 -1

thank you sooo much

The odd multiples are 3,9,15,21,27.Then the average is sum of numbers / total numberwhich will be 15.

The sum of first n positive integers is n(n+1) / 2

So the sum of first 1000 positive integers is

=1000 (1000+1) / 2

=1000 (1001) / 2

=500 × 1001

= 500500

IT industry has changed the image of India in the global arena. Today"s highly developed IT industry is the result of many external and internal factors which worked over a long period of time. This paper based on Secondary data tries to analyze the growth, features and reasons for the development of IT sector in India. Challenges faced by Indian IT sector too were manifold.

1+2+3+4+...+75=75/2(2+74)=75*76/2=2850

part 1

part 2

the correct answer is b

b is the ryt answer of this question

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1.5x + 0.1

correct answer is fffffgfshs

the correct answer

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yes it is right

11,13,15,17,1911+13+15+17+19 by 575 by 515

From which book have you taken this question? Please tell us so that we can provide you faster answer.

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34.700 is correct answer

The right answer is 34.700.

34.700 is the right answer

1/9 is the correct answer of the given question

By substituting the above value we get 9 raise to the power of - 2

x = y .....( alternate interior angles)

and 110+30+x = 180...... (adjacent angles)=> x = 180-140=40° => x = 40°

and angle z = 110° ... ( opposite angles of parallelogram are equal)

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