Consider that ΔQRS is similar to ΔLMN and the measure of ∠N is 42°. What is the measure of ∠S? A) 42° B) 48° C) 56° D) 58°

The answer is A) 42°

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42° is the answer

Step-by-step explanation:

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intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

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3x + 4y -25 =0 represents the amount of change sianna should recieve