Sven is trying to find the maximum amount of time he can spend practicing the five scales of piano music he is supposed to be working on. He has 70 minutes to practice piano and would like to spend at least 55 minutes playing songs instead of practicing scales. So, Sven sets up the following inequality, where t is the number of minutes he spends on each scale, and solves it.70 − 5t ≤ 55−5t ≤ −15t ≥ 3Sven has concluded that he should spend 3 minutes or more on each scale. Is this correct? If not, what mistake did he make? Then solve for the correct answer.

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general 11 months ago 8670

1.Given: Triangle PQR with m∠P=(2x)° , m∠Q=(4x)° , and m∠R=(6x)° .Prove: x = 15By the triangle sum theorem, the sum of the angles in a triangle is equal to 180°. Therefore, m∠P+m∠Q+m∠R=180° . Using the ,__________ (2x)°+(4x)°+(6x)°=180° . Simplifying the equation gets 12x = 180. Finally, using the division property of equality, .___________answer to each box to completesubstitution property, distributive property, angle addition postulate, x=12 x=15 x=30

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general 11 months ago 5433