Which statement correctly names the congruent triangles and justifies the reason for congruence? ΔABC ≅ ΔEFD by HL ΔABC ≅ ΔDEF by HL ΔABC ≅ ΔEFD by AAS ΔBAC ≅ ΔDEF by AAS

ΔABC ≅ ΔEFD by HL

Step-by-step explanation:

The two triangles given, ∆ABC and ∆EFD, are right triangles.

BC in, ∆ABC, is the hypotenuse and has a length of 5 units, which corresponds to hypotenuse, DF, of ∆EFD. DF also has a length of 5 units.

Therefore, BC ≅ DF.

AC in ∆ABC, corresponds to DE in ∆EFD. Both have the same length.

Therefore, AC ≅ DE.

Since we the hypotenuse of both ∆s and 1 of their corresponding legs are equal, we can conclude that both triangles are congruent based on the Hypotenuse-leg congruency statement, which says that if two right triangles have the same hypotenuse length and a corresponding leg that is equal, both triangles are said to be congruent.

Therefore, ΔABC ≅ ΔEFD by HL

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!

what's the question?

step-by-step explanation:

there is no question.