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Let the 4 numbers are:

a-3d, a-d, a+d, a+3d

where sum of 4 terms = 32,

hence 4a = 32, implies a = 8;

according to question:

(8-3d)(8+3d)/(8-d)(8+d) = 7/15

solving we get answer: 2,6,10,14

can you explain me last 2 line

with the answer

4 no =a-3d,a-d,a+d,a+3dsum , 4a=56a=14(a-3d)(a+3d)/(a-d)(a+d)=5:66(a²-9d²)=5(a²-d²)a²=54d² - 5d²14² =49d²d²=14² /7²d=±14/7=±2for d=2, a-3d=14-6=8a-d=14-2=12a+d=14+2=16a+3d=14+6=20Numbers are 8,12,16,20

( 3y + 1/4y)³

(3y)³ + (1/4y)³ + 3 × 3y × 1/4y ( 3y + 1/4y)

27y³ + 1/64y³+ 9/4 ( 3y + 1/4y)

27y³ + 1/64y³+ 27y/4 + 9/16y

sin^2 18° + sin^2 72°=sin^2 18° + sin^2 (90-18)=sin^2 18° + cos^2 18°=1

multiply 3/5 (both numerator and denominator) with 6similarly multiply 4/5 with 6so, 3×6/5×6=18/30 and 4×6/5×6=24/30 so, 19/30,20/30,21/30,22/30,23/30 are the five rational numbers between 3/5 and 4/5

u just multiply the no with 10 then found 3/5*10=30/50 and 4/5*10=40/50Then the answer is 31/50,32/50,33/50,34/50 and ,35/50

1225this is answer of the your question25

the given fractions have same denominator so,we want 5 rational no,so 5+1=6 always add one more no than the given rational no. we multiply it and divide it by 63/5*6=18/304/5*6=24/30hence the five rational no are 19/30 ,2

x² × ( x/y - y/x)( y/x + x/y) y²

(xy)² ( x² - y²)/(xy) ×( x² + y²)/xy

(x² - y²) ( x² + y²)

x⁴ - y⁴

solve question b

3/5+7/3=44/15and -11/5+(-2/3)=-43/15let subtract 44/15-(-43/15)=44-(-43)/15=44+43/15=87/15

87/15 in the right way and red

87/15 is the correct answer of the given question

Joining of two things is called additionthanksplease like the solution 👍 ✔️

addition of two signed or unsigned numbers called addition😀

addition is thing from which we can add somethingfor eg.12 12 24

गणितमें किसीवास्तविक संख्याकानिरपेक्ष मानया 'निरपेक्ष मूल्य' (absolute value) या 'मापांक' (modulus) |a| उस संख्या के चिह्न के बिना उसके आंकिक मान के बराबर होता है। उदाहरण के लिये 3 का निरपेक्ष मान 3 है, तथा -3 का भी निरपेक्ष मान भी 3 ही है। किसी संख्या के निरपेक्ष मान को उस संख्या की शून्य से दूरी के बराबर समझा जा सकता है।

-2xy =20-xy= 20/2-xy= 10

4/7V147 + 3/8 V192 - 1/5V75 = 4/7 V3x49 + 3/8 V3x 64 - 1/5V3x25 = 4/7 (7)V3 + 3/8 (8)V3- 5V3/5 = 4V3 + 3V3 -V3==7V3-V3=6V3

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7 km= 7000mअनुपात= 140/7000= 14/700= 2/100= 1/50

Let f(x) = x^3 + (p+q) x + a. We use Remainder theorem to derive our result.

Now for (x + p + q) to be a factor of f(x), f(-[p+q]) should be equal to zero.

=> -(p+q)^3 + (p+q)[-(p+q)] + a = 0.

=> a = (p+q)^2 + (p+q)^3

=> a = (p+q+1)(p+q)^2

k + g = 48 2k + 4g = 140 2k + 4g - 2k - 2g = 140 - 96 2g = 44 g = 22 k = 26

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13.5 cm is the correct answer of the given question

peri. of triangle= S+S+S = 6.2+4.2+2.1 = 12.5cm

the correct answer is 12.5cm

12.5cm is the correct answer

perimeter of triangle equals to sum of all side therefore add 6.2 + 4.2 + 2.1 CM equals to 12.5 CM

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tan(90-∅) = cot∅

cot∅/cosec²∅.tan∅= cot²∅/cosec²∅= cos²∅/sin²∅*cosec²∅= cos²∅

∠R + ∠RQS + ∠RSQ = 180 (Angle sum property)

=> ∠R + 35 + 37 = 180=> ∠R = 180 - 72 = 108∠R = ∠P = 108 (∵ Opposite angles of a parallelogram are equal) ∠R + ∠S = 180 (∵ Adjacent angles of a parallelogram are supplementary) ∠S = 72 ∠Q = 72

thanks a lot

139/3

Area of quadrilateral =Area of PQR + Area of PSR= 0.5*12*8 + 0.5*12*4= 48+24.= 72 cm²

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