Given: CE = DF Prove: CD = EF

It is given that CE = DF. By the Segment Addition Postulate, CE = CD + DE and DF = DE + EF. So, CD + DE = DE + EF by the Substitution Property of Equality.
A) Therefore, CD = EF because of the Subtraction Property of Equality.
B) Therefore, CE = DF because of the definition of congruent segments.
C) Therefore, CD + DE + EF = CF because of the Segment Addition Postulate.
D) Therefore, D is the midpoint of line segment CE because CD = DE.

Landon wallin is an auto mechanic who wishes to start his own business. he will need $4400 to purchase tools and equipment. landon decides to finance the purchase with a 48-month fixed installment loan with an apr of 5.5%. a) determine landon's finance charge. b) determine landon's monthly payment.

Which conjunction is disjunction is equivalent to the given absolute value inequality? |x+2|< 18

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.