Irene cut a quadrilateral from construction paper and measured three of the angles with his protractor. they measured 72 degrees,120 degrees, and 85 degrees. her protractor broke before she could measure the last angle. how can irene determine the measure of the missing angle without using a protractor?

(feel free to explain how you got your answer! : )

The center of the circumscribed circle lies on line segment and the longest side of the triangle is equal to the of the circle.

Joel wants to buy a new tablet computer fram a store having a 20% off sale on all tablets. the tablet he wants has an original cost of $190. he also wants to make sure he has enough money to pay the 5% sales tax. part one joel uses the incorect expression 0.95(190)(0.8) to calculate that the tablet will cost him a total of $144.40. describe his error and write the correct expression part two how much will joel pay for the tablet show your work if you answer this question correctly you will receive a prize of 99 points good luck

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?