Drag and drop an answer to each box to correctly complete the proof.Given: m∥nm∥n , m∠1=50∘m∠1=50∘ , and m∠2=42∘m∠2=42∘ .Prove: m∠5=92∘It is given that m∥nm∥n , m∠1=50∘m∠1=50∘ , and m∠2=42∘m∠2=42∘ . By the , m∠3=88∘m∠3=88∘ . Because angles formed by two parallel lines and a transversal are congruent, ∠3≅∠4∠3≅∠4 . By the angle congruence theorem, m∠3=m∠4m∠3=m∠4 . Using substitution, 88∘=m∠488∘=m∠4 . Angles 4 and 5 form a linear pair, so by the , m∠4+m∠5=180∘m∠4+m∠5=180∘ . Substituting gives 88∘+m∠5=180∘88∘+m∠5=180∘ . Finally, by the , m∠5=92∘m∠5=92∘ .

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general 11 months ago 6008

The value of a stock share in a new technology company has been increasing at a rate of 8.6% quarterly. The initial price of one share was $102.15. An investor plans to sell once the value of one share reaches $233.10. If t is the number of quarters since the initial price of one share was set, which equation could be used to determine how long it will take the share to reach $233.10, assuming it continues to grow at the same rate? 102.15 = 233.10(0.086)t

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general 11 months ago 4423