Complete the following proof.

prove: the opposite sides of a parallelogram are equal.

(fill in the blanks of the equation in the second picture with the correct number/letter/sign based off the first picture.)

Select all the correct locations on the image. select all the expressions that result in a product that is a rational number. mulitiple choice4/3 x 12/3 32/4 x 15/4[tex]\sqrt{\frac{3}{2} }[/tex] x 22/7[tex]\sqrt{11}[/tex] x 2/3

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.

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes