3.Provide reasons for the proof. Given:2  4 and 2 and 3 are supplementary Prove: 1  3 StatementReason 1. 2  41. Given 2. m2 = m42. Angle congruence postulate 3. 2 and 3 are supplementary3. Given 4. m2 + m3 = 1804. Definition of supplementary angles 5. 1 and 4 are supplementary5. 6. m1 + m4 = 1806. Definition of supplementary angles 7. m1 + m4 = m2 + m3 7. 8. m1 + m4 = m4 + m38. 9. m1 = m39. 10. 1  310.

Acar started driving from city a to city b, distance between which is 620 miles, at a rate of 60 mph. two hours later a truck left city b and started moving towards city a at a rate of 40 mph. what distance from city a is the point where the truck and the car will meet?

Find the maximum value of p= 4x + 5y subject to the following constraints :

Atechnician compares repair costs for two types of microwave ovens (type i and type ii). he believes that the repair cost for type i ovens is greater than the repair cost for type ii ovens. a sample of 6767 type i ovens has a mean repair cost of $79.79$⁢79.79. the population standard deviation for the repair of type i ovens is known to be $19.18$⁢19.18. a sample of 5555 type ii ovens has a mean repair cost of $75.24$⁢75.24. the population standard deviation for the repair of type ii ovens is known to be $21.40$⁢21.40. conduct a hypothesis test of the technician's claim at the 0.050.05 level of significance. let μ1μ1 be the true mean repair cost for type i ovens and μ2μ2 be the true mean repair cost for type ii ovens. step 2 of 4 : compute the value of the test statistic. round your answer to two decimal places.