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Mathematics, 09.09.2021 14:00 cyriagirl
Out of the 200 students enrolled in the major, 137 students registered for Software Engineering (KTPM), 50 students registered for Computer Science (KHMT) and 124 students registered for Information Systems (HTTT). The number of students registered for both software engineering and environmental science is 33, the number of students registered for all three majors is 29, software engineering and information systems are 92, and the number of students registered for all three majors is 18. What is the probability that any student (out of 200 students) registers at least 1 out of 3 majors?
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Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality
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Out of the 200 students enrolled in the major, 137 students registered for Software Engineering (KTP...
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