Match the reasons with the statements in the proof.
given: c | | d, m 4 = m 5
prove: m 7 = m 8
1. c||d, m∠4=m∠5
substitution
2. m∠4 = m∠7
vertical angles are equal.
3. m∠5 = m∠8
if lines ||, alternate interior angles are equal.
4. m∠7 = m∠8
given

Achel bought 12 rolls of packing tape and paid a total of $33.60. kevin also bought rolls of packing tape. the table shows the total amount he is paid for different numbers of packing tape. number of rolls of packing tape total amount paid 2 $6.40 5 $16.00 8 $25.60 how do the unit rates compare? select from the drop-down menus to correctly complete the statement. rachel's unit rate is than kevin's because is greater than .

Mario has $14.35 left in his wallet. he spent $148.43 for tablecloths. then, he spent $92.05 for napkins. how much money did mario have in his wallet to start with?

Gabriel determined that his total cost would be represented by 2.5x + 2y – 2. his sister states that the expression should be x + x + 0.5x + y + y – 2. who is correct? explain.