Solve the following equation: x – 2 = 7 Solution x – 2 = 7 On rearranging the terms we get x=7+2 x=9 Answer x=9... View Article
Solve the following equation: t/5 = 10 Solution t/5 = 10 On rearranging the terms we get t = 10 × 5 t = 50 Answer t = 50... View Article
Solve the following equation: y + 3 = 10 Solution y + 3 = 10 On rearranging the terms we get y = 10 –3 (Subtracting 3 from both sides of the equation) y = 7 Answer y = 7... View Article
Solve the following equation: 2x/3 = 18 Solution 2x/3 = 18 Multiplying both sides by 3 2x = 18 × 3 2x = 54 x = 54/2 x = 27 Answer x = 27... View Article
Solve the following equation: 17 + 6p = 9 Solution 17 + 6p = 9 Rearranging the like terms we get 6p = 9 – 17 6p = -8 p = -8/6 Simplifying the equation p = -4/3... View Article
Solve the following equation: 7x – 9 = 16 Solution 7x – 9 = 16 On rearranging the terms 7x = 16+9 7x = 25 x = 25/7 Answer x = 25/7 ... View Article
All rhombuses are kites. (True or False) All rhombuses are kites. Ans: True In the rhombus, diagonals bisect each other which is similar to kites. ... View Article
All kites are rhombuses. (True or False) All kites are rhombuses. Ans: False All sides are not equal in Kite. The length of the sides of a kite are not of same length.... View Article
Solve the following equation: 1.6 = y/15 Solution 1.6 = y/1.5 On rearranging the terms we get y/1.5 = 1.6 y = 1.6 × 1.5 y = 2.4 Answer y = 2.4... View Article
Solve the following equation: 14y – 8 = 13 Solution 14y – 8 = 13 Rearranging the like terms we get 14y = 13+8 14y = 21 y = 21/14 y = 3/2 Answer y = 3/2 ... View Article
Which term of the A.P. 3, 8, 13, 18, … is 78? Given that The A.P. series 3, 8, 13, 18, … Find out We need to find out which term is 78 Solution First-term, a = 3 Common... View Article
Without adding, find the sum: 1 + 3 + 5 + 7 + 9 Solution The Sum of first n odd natural numbers is n2 (i) 1 + 3 + 5 + 7 + 9= 25 The sum of the first 5 odd natural numbers is 52 52 = 25.... View Article
In Fig.PQR = PRQ, then prove that PQS = PRT. Given, ∠PQR = ∠PRQ Considering ST is a straight line, so the sum of all angles made on it is 180° => ∠PQS +... View Article
Solve the following equation: (8x – 3) /3x = 2 (8x – 3)/3x = 2 On multiplying we get ⇒ 8x/3x – 3/3x = 2 ⇒ 8/3 – 1/x = 2 ⇒ 8/3 – 2 = 1/x ⇒ (8... View Article
Simplify the following expression: (√5 + √2) 2 (iii) (√5+√2)2 On opening the brackets and solving, we get, (√5+√2)2 =... View Article
In Fig. AP || BQ || CR. Prove that ar(â–³AQC) = ar(â–³PBR) . Solution Given: AP || BQ || CR Prove: ar(AQC) = ar(PBR) Proof: ar(ΔAQB) = ar(ΔPBQ) ------------------(1)(Lie on the same base... View Article
Solve the following equation: x/3 + 1 = 7/15 Solution x/3 + 1 = 7/15 Rearranging the like terms we get x/3 = 7/15 – 1 Making common denominator x/3 = (7 – 15)/15 ... View Article
Solve the following equation: 3/7 + x = 17/7 Solution 3/7 + x = 17/7 On rearranging the terms we get x = 17/7 – 3/7 x = 14/7 x = 2 Answer x = 2... View Article
Solve the following equation: z/(z + 15) = 4/9 z/(z + 15) = 4/9 ⇒ z = 4/9 (z + 15) ⇒ 9z = 4(z + 15) ⇒ 9z = 4z + 60 Rearranging the equation and combining like terms we get... View Article
Solve the following equation: 9x/(7 – 6x) = 15 9x/(7 – 6x) = 15 ⇒ 9x = 15(7 – 6x) On simplifying we get ⇒ 9x = 105 – 90x ⇒ 9x + 90x = 105 ⇒ 99x = 105... View Article
