Emily works at a music store where she repairs guitars. She keeps track of the types of guitars she's fixed and the types of repairs she's made. Unfortunately, Emily has terrible handwriting. When her manager asks for her records, she can't read all of her numbers. The absolute and relative frequency tables below show the numbers that Emily is able to read. Can you help her figure out the rest?
Fill in the missing values from each table.

Given abc find the values of x and y. in your final answer, include all of your calculations.

35 ! insert < , > , or = to make the sentence true. 12 __ 25 > =

Given: ab ≅ cd and ad ≅ bc prove: abcd is a parallelogram. statements reasons 1. ab ≅ cd; ad ≅ bc 1. given 2. ac ≅ ac 2. reflexive property 3. △adc ≅ △cba 3. ? 4. ∠dac ≅ ∠bca; ∠acd ≅ ∠cab 4. cpctc 5. ∠dac and ∠bca are alt. int. ∠s; ∠acd and ∠cab are alt. int. ∠s 5. definition of alternate interior angles 6. ab ∥ cd; ad ∥ bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3? triangle angle sum theorem sas congruency theorem sss congruency theorem cpctc