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Given : x = 2 and y = 1 is solution of 2x + 3y = k

So, 2 × 2 + 3 × 1 = k

k = 4 + 3 = 7

k = 7

So, we get equation 2x + 3y = 7

Two solution

x = 0 and y = 7/3

x = 7/2 and y = 0

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2) Yes3) Yes4) Nothe first one is given

2)yes3)yes4}no is the right answer

2,yes3,yes4,no is the right answer

a.

male to female sex ratior=18/12*100=150

area = 500×300 = 150000 sq meter 1 sq meter = 0.0001 hectares so 150000 sq meter = 15 hectares

length =0.7breadth =0.5=2×(l+b)=2×(0.7+0.5)=2×1.2=2.4

=2.4×4=9.6

x = 2k + 1 y = k is the solution of 5x + 3y - 7 = 0 5(2k+1)+3k - 7 = 0 10k + 5 + 3k - 7 = 0 13k - 2 = 0 13k = 2 k = 2/13

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(27/125)^-(2/3)

= (125/27)^(2/3)= (5/3)²= 25/9

length of land= 80 mbreadth = 50 m

perimeter of land = 2× length + breadth

perimeter = 2 × 80m+ 50m = 2× 130 = 260mhence perimeter of land = length of one strand of wire .

but three (3) strands of wires are required to fence the field .

length of one strand of wire to fence = 260

and length of three wires = 3 × 260m

= 780m

hence length of wire required to fence the field is . 780m.

Given:-Area of the rectangular plot=2000 sq. m=>l×b=2000=>l=2000/b ----------iPerimeter=180 m=>2(l+b)=180=>l+b=90=>2000/b +b =90=>b²-90b+2000=0=>b²-40b-50b+2000=0=>b(b-40)-50(b-50)=0=>b=40 or 50=> l=50 or 40l---->lengthb----->breadth

X takes 5 days to complete the work --> X completes 1/5th of the work in 1 dayY takes 10days to complete the work --> Ycompletes 1/10th of the work in one daytotal work done is one day1/5+1/10= 3/10so they will finish the work in 10/3 days

No work at all because it is already finished.

I tried to do the solution.....I am not perfectly sure that this is the right answer.....

sin theta= 1/2sin theta= sin 30°theta= 30°

thanks

x + 5 + 7x = 8 -248x = 8 -24 - 58x = -21x = -21/8

the ratio is 8000/14400 = 5:9

amount she earns in one month = 1200rupees

amount she earns in twelve months = 1200*12= 14400 rupees

amount she pays as in income tax =8000

therefore the ratio = 14400/8000=9:5

Ans = 9:5 is the ratio

5:9,will be your answer

the ratio is 9:5 is the correct answer

You can simply calculate it by use mathematics algorithm like

Suppose total income = x

Now as your figures : 1/4 on food, 2/3 on rest & 630 on balance,

Let convert it into an equation:

x-1/4x-2/3x=630

After converting to equation we have to solve it:

Lets take x common

x(1–1/4–2/3)=630

x = 7560 which is your income

And now calculating rent:

So, 2/3x we take earlier & x = 7560

Rent = 5020.

= Area of square = a^2. a = length of square.

= 53.18 = a^2

= a = 7.292 m.

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to divisible by 2 last digit should be 2,4,6,8,0and first digit should not be 0so total numbers=9×10×10×5=4500

9 × Area ( ∆PQR) = 16 × Area(∆LMN)

Area of ∆LMN : Area of ∆PQR = 9:16

We know that,

Area of two similar triangles is always Equal to square of their corresponding sides.

Therefore,

Area ( ∆LMN) / Area ( ∆PQR) = (MN/QR)²

9/16 = (MN)² / (20)²

9/16 = (MN)² / 400

(MN)² = 9×400/16

(MN) = √(9×400/16)

MN = 3×20/4

MN = 3 × 5 = 15 cm

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नहीं संभव नहीं है क्योंकि दो भुजाएं तो बराबर दी हैपरन्तु उनके बीच का कोण का कुछ information nhi heअतः हम यह सिद्ध नहीं कर सकते की दोनों त्रिभुज सर्वांगसम है

to prove that triangle PQR is = to triangle SRQ follow :-

pq is equal to sr( given)pr is equal to sq (given)qr is equal to qr (common)