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Viktor [21]
3 years ago
7

there are 10 students in a classroom, including the triplets Hugh,Stu, ans Lou. if 3 of 10 are randomly selected to give speeche

s, what is the probability that Hughs will be first ,Stu will be second, and Lou will be third?
Mathematics
1 answer:
Keith_Richards [23]3 years ago
3 0
1/10 for Hugh to be first and after he is picked only 9 students remain so 1/9 for stu and after he is picked only 8 remain to be chosen so 1/8 for lou. The chance of all three happening is 1/10×1/9×1/8=1/720 this is the probability that 3 triplets will be chosen in that exact order out of 10 students
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Question 1:

The angles are presented here using Autocad desktop application

The two column proof is given as follows;

Statement                   {}                             Reason

S1. Line m is parallel to line n       {}            R1. Given

S2. ∠1 ≅ ∠2                   {}                            R2. Vertically opposite angles

S3. m∠1 ≅ m∠2                    {}                     R3. Definition of congruency

S4. ∠2 and ∠3 form a linear pear      {}      R4. Definition of a linear pair

S5. ∠2 is supplementary to ∠3 {}      R5. Linear pair angles are supplementary

S6. m∠2 + m∠3 = 180°              {}                Definition of supplementary angles

S7. m∠1 + m∠3 = 180°              {}                 Substitution Property of Equality  

S8. ∠1 is supplementary to ∠3           {}      Definition of supplementary angles

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(e) A property that applies to all parallelogram is that the opposite sides of all parallelogram are equal

Step-by-step explanation:

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