how is comparing the absolute vallues of two rational numbers different from comparing the actual value

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126

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?

For a research project in a political science course, a student has collected information about the quality of life and the degree of political democracy in 50 nations. specifically, she used infant mortality rates to measure quality of life and the percentage of all adults who are permitted to vote in national elections as a measure of democratization. her hypothesis is that the quality of life is higher in more democratic nations. read this research description carefully. pay attention to the following: how many variables are in this research? what is the scale of the variable for infant mortality? p1c4. what is the dependent variable in this research problem? p1c4. is this research descriptive or inferential? does this research involves single variable analysis or two or more variable analysis?