statement reason 1. 2  4 1. given 2. m2 = m4 2. angle congruence postulate 3. 2 and 3 are supplementary 3. given 4. m2 + m3 = 180 4. definition of supplementary angles 5. 1 and 4 are supplementary 5. 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3 8. 9. m1 = m3 9. 10. 1  3 10.

The polygon tool to draw a rectangle with a length of 5 units and a height of 3 units. one of the sides of the rectangle falls on line ab , and the rectangle has a vertex of a. each segment on the grid represents 1 unit.

The jewelry store is having a sale. necklaces that were regularly priced at $23.50 are on sale for $18.80. what is the percentage of decrease in the price of necklaces?

An office supply company conducted a survey before marketing a new paper shredder designed for home use. in the survey, 80 % of the people who tried the shredder were satisfied with it. because of this high satisfaction rate, the company decided to market the new shredder. assume that 80 % of all people are satisfied with this shredder. during a certain month, 100 customers bought this shredder. find the probability that of these 100 customers, the number who are satisfied is 69 or fewer.