Y= 4*x^2-32-20-16 pa= (x*SQRT(2)+a+b)/2 pb= (x*SQRT(2)+a+c)/2 pc= (x*SQRT(2)+d+c)/2 pd= (x*SQRT(2)+d+b)/2 pe= (x*(2)+c+b)/2 pf= (x*(2)+a+d)/2 SQRT(pa*(pa-a)*(pa-b)*(pa-x*SQRT(2) ))+x^2/2=32 SQRT(pb*(pb-a)*(pb-c)*(pb-x*SQRT(2) ))+x^2/2=20 SQRT(pc*(pc-d)*(pc-c)*(pc-x*SQRT(2) ))+x^2/2=16 SQRT(pc*(pc-d)*(pc-c)*(pc-x*SQRT(2) ))+x^2/2=y SQRT(pe*(pe-c)*(pe-b)*(pe-x*(2)))+2 *x^2+20+16=4*x^2 SQRT(pf*(pf-d)*(pf-a)*(pf-x*(2)))+2 *x^2=4*x^2

Can someone answer this question for me

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )