Arrange the absolute value functions from narrowest to widest with respect to the width of their graphs. f(x)=3/2|x-5|+5 f(x)=-5|x+4|+4 f(x)=-2|x-1|+1/2 f(x)=-1/4|x-8|+3 f(x)=-2/5|x+2|+5/2 f(x)=|x+4|+7 f(x)=3/4|x-1|+1

Given: m∠ adb = m∠cdb ad ≅ dc prove: m∠ bac = m∠bca lol

Acompany that manufactures and sells guitars made changes in their product range. from the start they had 20 models. then they reduced the number of models to 15. as a result, the company enjoyed a 10% increase in turnover. - how much did the stock level change? in (%)

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? )