1.given: triangle pqr with m∠p=(2x)° , m∠q=(4x)° , and m∠r=(6x)° . prove: x = 15 by the triangle sum theorem, the sum of the angles in a triangle is equal to 180°. therefore, m∠p+m∠q+m∠r=180° . using the (2x)°+(4x)°+(6x)°=180° . simplifying the equation gets 12x = 180. finally, using the division property of equality, answer to each box to complete substitution property, distributive property, angle addition postulate, x=12 x=15 x=30

Leslie started last week with $1200 in her checking account. during the week, she wrote the checks below. trans typ./ check no. date description of transaction payment/ debit deposit/ credit (+) balance 1,200 00 324 10/6 miller's food market 45.87 45 87 groceries 1,154 13 325 10/7 cyber center computer outlet 218.59 218 59 monitor 935 54 326 10/9 sandy's beauty salon 30.00 30 00 haircut and styling 900 59 deposit 10/10 paycheck 621.33 621 33 1,621 92 evaluate leslie's check register. a. leslie did a good job. everything is correct. b. the final balance is wrong; she did not add everything correctly. c. leslie should have written debit instead of deposit for the transaction type. d. leslie switched the debit and credit columns.