(4) By definition, a line m is "parallel" to a line l if for any two points P, Q on m, the perpendicular distance from P to l is the (5) It was unnecessary for Euclid to assume the parallel postulate (6) A "transversal" to two lines is another line that intersects both (7) By definition, a "right angle" is a 90° angle. same as the perpendicular distance from Q to L because the French mathematician Legendre proved it. of them in distinct points.

Determine whether each of the following statements are true or false. If true, please explain why. If false, explain why or give a counterexample (whichever is appropriate). Recall that a counterexample is a specific example which shows that a statement is false. So, if I said, "All numbers are even", you would say this statement is false and remark that "3" is a counterexample. No points will be award for a correct answer without a correct explanation/counterexample for questions 1-5. For questions 6-10, no explanation is required. I have put a (C) at the end of each question which requires a counterexample if the statement is false.

what do all these things have in common A. Milk jug, teacup, bathtub B. Mouth, zipper, gears

INSTRUCTIONS: For the assignment below, prepare answers in a Word document (.doc or .docx) and submit a single file to the Dropbox.  You should use Excel to calculate your answers, and be sure to submit both your calculations and final answers. Calculations can be pasted from Excel into your Word document. Note that Excel calculations are supporting documentation, but you still need to explain the exact answers in narrative form in order to receive full credit. In addition to the textbook, check out the Unit 5 Resources section for additional content including  PowerPoints and video tutorials that might aid you in your calculations.  You can find a "case study template" to use under Course Home.  Remember to include a title page, introduction, conclusion, and reference list. See further below for grading rubric. NOTE: You will need to access the 'Analysis Toolpak' in Excel in order to perform the calculations for this case.  If you have not already installed this free add-in, please…

Please refer to the picture given. Instruction: Give a brief interpretation from the table. Provide the ‘Descriptive Equivalent’ of the given tables. The question needed to be answered are marked with color red. Make sure the interpretation is related to the given question in the tables. Please refer to the subsequent picture for your guide. (50 words for each table would suffice your answer.) Title for the tables: Youth Awareness and Perception Towards COVID-19. Answer table 16, 17, & 18 only Legend: SD – Strongly Disagree D – Disagree A – Agree SA – Strongly Agree

Write the following statement as a mathematical statement. Use variable names to denote arbitrary numbers in the domain. Your statements and should be expressed using algebra. "There is no largest integer."

For each statement below, decide whether that statement is true or false.

Please help me answer the following questions. Thank you

On average, Americans consume 13.9 pounds of ice cream per person over an entire year.Ben loves ice cream, but limits himself to one 2-ounce serving each week. Which of the followingstatements is correct? Helpful hint: Assume 1 pound of ice cream is equivalent to 16 ounces andthere are 52 weeks in a year. O Ben consumes less than the annual average.O Ben consumes more than the annual average.O Ben consume about the same as the annual average