Which reason justifies the following statement? if cef is complementary to dcf, then dcf = feg .

(A) Complements of the same  angle are congruent.

Step-by-step explanation:

Since, ∠CEF is complementary to ∠DCF, therefore

∠CEF+∠DCF=90°                                 (1)

Also, ∠CEG=∠CEF+∠FEG

⇒90°=∠CEF+∠FEG                              (2)

Therefore, from(1) and (2), we get

∠CEF+∠DCF=90°    

∠CEF+∠FEG=90°

Subtracting both the equations, we get

  ∠DCF-∠FEG=0

∠DCF=∠FEG.

Hence, ∠DCF≅∠FEG by the rule: Complements of the same  angle are congruent.

Answer; Complements of the same angle are congruent.

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step-by-step explanation:

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!