A circle has a secant ⎯⎯⎯⎯⎯⎯⎯⎯ and a tangent ⎯⎯⎯⎯⎯⎯⎯⎯⎯ that intersect outside of the circle. If the measure of ∠ is 29° and the measure of ⏜ is 45°, then determine the measure of ⏜ .

One-third of the people from country a claim that they are from country b, and the rest admit they are from country a. one-fourth of the people from country claim that they are from country a, and the rest admit they are from country b. in a combined census of the two countries, one-half of the total claimed to be from a. what is the ratio of the populations of country a to that of country b.

Arectangle with an area of 47 m² is dilated by a factor of 7. what is the area of the dilated rectangle? enter your answer in the box. do not leave your answer as a fraction.

Jackie purchased 3 bottles of water and 2 cups of coffee for the family for $7.35. ryan bought 4 bottles of water and 1 cup of coffee for his family for 7.15. how much does each bottle of water cost? how much does each cup of coffee cost?