The figure shows two similar triangles: two triangles are shown. the sides of the triangle on the left are marked 6, 8, 4. the sides of the triangle on the right are marked as 3, 4, and 2. for the triangle on the left, the angle between sides marked 8 and 6 is labeled as m, marked with a single arc, and the angles between the sides marked 8 and 4 is labeled as n, marked with a double arc. the third angle is marked with a triple arc. for the triangle on the right, the angle between sides marked 2 and 4 is labeled as o, marked with a double arc and the angle between the sides marked 4 and 3 is labeled as p, marked with a single arc. the angle between the sides 2 and 3 is labeled as q, marked with a triple arc, and is also the angle on the top vertex of this triangle. which two sets of angles are corresponding angles? ∠m and ∠p; ∠n and ∠o ∠m and ∠o; ∠n and ∠p ∠m and ∠q; ∠n and ∠p ∠m and ∠q; ∠n and ∠o

Beatrice decides she wants to babysit a few children at the same time to earn the money faster. she tells parents that if they allow her to babysit their children at her house, she will eliminate her automatic $5 tip and will give them an additional $5 discount. (a) write an equation showing the total cost for each client. identify all variables. (b) four parents bring their children to beatrice’s house at the same time for babysitting. beatrice wants to find out how many hours she must babysit the 4 children to earn exactly the $100 she needs in order to buy the present for her mother. write and solve an equation to find the number of hours. justify each step in the solution. (c) one parent decides not to drop off her child. the remaining 3 parents drop their children off at 9 a. m. two of the parents say they will be back at 1 p. m. the third parent says she will pick up her child at 2 p. m. at noon, beatrice realizes she needs feeding the 3 ch

Initially 100 milligrams of a radioactive substance was present. after 6 hours the mass had decreased by 4%. if the rate of decay is proportional to the amount of the substance present at time t, find the amount remaining after 24 hours. (round your answer to one decimal place.)

In the diagram, ab is tangent to c, ab = 4 inches, and ad = 2 inches. find the radius of the circle.