In completing the following proof, which of the following statements should be included? Given: regular ΔDAF; midpoints B, C, E; ∠DBE ≅ ∠FCE
Prove: DB ≅ FC

Option (2) CPCTC

Step-by-step explanation:

In the given regular triangle ADF, all sides and angles of the triangle will be equal

∠A = ∠D = ∠F = 60°  

And DE = EF [Since E is the midpoint of side DF]

                    Statements                   Reasons

1). ∠D ≅ ∠F                                        Given

2). ∠DBE ≅ ∠ECF                              Given

3). DE ≅ EF                                        Given

4). ΔDBE ≅ ΔECF                        By AAS property

Therefore, DB ≅ FC

Option (2) Corresponding parts of the congruent triangles are congruent (CPCTC)

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9