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Mathematics, 18.12.2019 22:31 AnwarWeirdLol8811
Katya decided that she could not afford the $48,000 it would cost her to attend college and get her four-year degree. instead, she entered the full-time workforce four years earlier than her peers who went to college. during those four years, she earned a total of $90,000. however, without a college degree, katya made an average of $10,000 less than she could have with a degree every year for the 40 additional years of her career. what was the long-term financial cost of katya deciding to not attend college?
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Given: ab ≅ cd and ad ≅ bc prove: abcd is a parallelogram. statements reasons 1. ab ≅ cd; ad ≅ bc 1. given 2. ac ≅ ac 2. reflexive property 3. △adc ≅ △cba 3. ? 4. ∠dac ≅ ∠bca; ∠acd ≅ ∠cab 4. cpctc 5. ∠dac and ∠bca are alt. int. ∠s; ∠acd and ∠cab are alt. int. ∠s 5. definition of alternate interior angles 6. ab ∥ cd; ad ∥ bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3? triangle angle sum theorem sas congruency theorem sss congruency theorem cpctc
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