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Lets take 18 and 48 as our two numbers for an example.
Break both down into products of their prime factors using factor trees: 18=3x3x3x2 and 48=3x2x2x2x2.
Write the prime factors as a Venn dia...

a) the triangle is isosceles so the two missing angles must be identical. all angles in a triangle add up to 180. therefore, 180-40=140 140/2 = 70* = xb) this triangle has two angles given already, so the...

y = x² + ax + bWhen x=1:47 = (1)² + a(1) + b47 = 1 + a + b46 = a + bWhen x = 260 = (2)² + a(2) + b60 = 4 + 2a + b56 = 2a + b Let this be equation 1Let 46 = a + b be equati...

100 + (3.5 x 15) = 152.50 100 x 1.03¹⁵ = £155.80 Therefore he should choose savings account B because after 15 years he will have gained more money through interest than in account A...

As we know that AC = AB, then it must be the case that BC is the base of the triangle (because it is isosceles). Therefore, the line of symmetry of the triangle ABC goes through the point A, and is perpen...