A 90° counterclockwise rotation about the origin, and then a reflection across the x-axis performed on shape I proves that shape II is congruent to shape I. Which other sequences of transformations on shape I can also be
used to prove congruence to shape II?

a reflection across the y-axis and a 90° clockwise rotation about the origin
a 90° counterclockwise rotation about the origin and a reflection across the y-axis
a reflection across the y-axis and a 90° counterclockwise rotation about the origin
a 90° clockwise rotation about the origin and a reflection across the x-axis
a reflection across the x-axis and a 90° clockwise rotation about the origin

Find the required measurements of the following trapezoids. a = 8 cm b = 16 cm h = 10 cm

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.

You and three friends will be going out to eat at your favorite restaurant! each of you will order three items of your choice. you will also need to leave a tip. if you split the bill evenly among all four of you, how much will each person need to contribute? locate a menu for your favorite restaurant and pick three items for yourself and each friend. list the restaurant name, items, and prices in a table like the one below. in the column labeled subtotal, determine the cost of each person’s order. the customary tip is 20% of the total bill. in the column labeled tip, calculate the amount of tip each person should leave. in the column labeled total bill, determine the total of each person’s order, including the tip. restaurant name: names item 1 price item 2 price item 3 price subtotal tip total bill your name friend #1 friend #2 friend #3 part 2: questions answer the following questions, showing all work: what is the total cost of the entire bill (all four meals), including tip? write an expression using fractions to show how to determine the amount that each person will pay. then calculate each person's contributions showing all steps in long division. if each person paid an equal amount, who would save the most money? explain your reasoning using at least two complete sentences.