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By euclid's division algorithm225=135×1+90135=90×1+4590=45×2+0hence the hcf is 45Please like the solution 👍 ✔️

As38220 = 196 x 195 + 0

H.C.F = 196

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We get thatAX=AYBX=BZCY=CZnowper of triangle ABC =ab+bc+ac=ab+(bz+zc)+ac=ab+bx+ac+cy=ax+ay=2axper of triangle ABC =2axtherefore1/2perimeter of triangle =ax

AX=AYBX=BZCY=CZnowper of triangle ABC =ab+bc+ac=ab+(bz+zc)+ac=ab+bx+ac+cy=ax+ay=2axper of triangle ABC =2axtherefore1/2perimeter of triangle =ax .

ans will be 25:9 formula- base×hight/2

AX=AYBX=BZCY=CZnowper of triangle ABC =ab+bc+ac=ab+(bz+zc)+ac=ab+bx+ac+cy=ax+ay=2axper of triangle ABC =2AXtherefore1/2perimeter of triangle =AX

please put the fig

let x be the number of chairs left over 1 row contains 48 chairs 1000 chairs =48/1000 =20.833 rows so consider 20 rows which contain 48×20=960 chairstotally 1000 chair so 1000-960=40 chairs are kept left over

thank you

1 - tan² 30°-----------------1 + tan²30°

1 - (1/√3)²----------------1 + ( 1/√3)²

1 - 1/3-----------1 + 1/3

2/3-----4/3

1/2

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P (2,5)After reflection on x-axis, P' (2, -5).

Let the coordinates of C and D be (a, b) and (c, d)

∴ (3 + a)/2 = 2

⇒ a = 1

and (2 + b)/2 = –5

⇒ b = –12

Also

(c + 1)/2 = –5

⇒ c = 3

and (d + 0)/2 = –5

⇒ d = –10

∴ Coordinate of C and D are (1, –12) and (3, –10)

now substitute the value of x in any of the equation and find the value of y

thanks its right way and right ans

but equation 2-1,then value of x=200/7

From the figure we observe that,

DR = DS (Tangents on the circle from point D) … (i)

AP = AS (Tangents on the circle from point A) … (ii)

BP = BQ (Tangents on the circle from point B) … (iii)

CR = CQ (Tangents on the circle from point C) … (iv)

Adding all these equations,

DR + AP + BP + CR = DS + AS + BQ + CQ

⇒ (BP + AP) + (DR + CR) = (DS + AS) + (CQ + BQ)

⇒ CD + AB = AD + BC

cost of one pen is 64/8 = 8 rupees

x=3, so 3 ki power 3 ka answer hai 27

Analtitudeof atriangleis the perpendicular segment from a vertex of atriangleto the opposite side (or the line containing the opposite side). Analtitudeof atriangle can bea side or maylie outsidethetriangle.

If cost of 8 pens = 144cost of 1 pen = 144/8Then,Cost of 14 pens = 144*14/8 = 18*14 = Rs 252

cost of 8 apples = 8 * cost of one apple = 8*1 = 8 rs.

Thanks

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Given Cos A = m Cos B

⇒ Cos A / Cos B = m / 1. ( apply componendo and dividendo)

⇒ (Cos A + Cos B) / (Cos A - Cos B) = ( m + 1) / (m - 1)

⇒ {(2 Cos ( A+B) / 2 × Cos (A-B) / 2 } / {(- 2 Sin ( A+B) / 2 × Sin (A-B) / 2 } = ( m + 1) / (m - 1)

⇒ {(2 Cos ( A+B) / 2 × Cos (B - A) / 2 } / {( 2 Sin ( A+B) / 2 × Sin (B - A) / 2 } = ( m + 1) / (m - 1)

⇒ {( Cot ( A+B) / 2 × Cot (B - A) / 2 } = ( m + 1) / (m - 1)

⇒ {( Cot ( A+B) / 2 = { ( m + 1) / (m - 1) } Tan (B - A) / 2

Here x = ( m + 1) / (m - 1).

Factors of 48

List of positive integerfactors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16,24

Factors of 72

List of positive integerfactors of 72that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18,24, 36

So thegreatest common factor of 48 and 72is24.

LHS:Cos A - Sin A + 1/ Cos A + Sin A - 1 dividing in numerator & denominator with Sin ACot A - 1 + Cosec A / Cot A - Cosec A + 1now putting 1= Cosec^2 - Cot ^2

= (Cot A + Cosec A) - (Cosec^2 A - Cot^2 A) / (Cot A - Cosec A + 1)

= (Cot A + Cosec A) [1 - Cosec A + Cot A) / (Cot A - Cosec A + 1)]

= (Cot A + Cosec A)

= RHS

Hence Proved