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3 years ago

Please HELP Provide the missing reasons for the proof. Given: ∠C ≅∠E Prove: ABC ~ DBE

2 answers:

8 0

The <u>correct answers</u> are:

#1) Given;
#2) Vertical angles are congruent; and
#3) AA similarity theorem.

Explanation:

#1) This is a "given" for the proof. It requires no further explanation.
#2) ∠ABC and ∠DBE are opposite angles that share only a vertex. This is the definition of vertical angles, and we know that vertical angles are congruent.
#3) The AA similarity theorem states that if two corresponding angles of two triangles are congruent, then the triangles are similar. This is because all triangles have a sum of 180°. If two of the angles are congruent, the third angle in both would have to be the same to make them equal 180°. Thus the triangles are similar.

MrRa [10]3 years ago

5 0

Reason:
1. Given
2. Angles opposite by the vertex
3. Two pair of corresponding angles are congruent (∠C ≅∠E and <span>∠ABC≅∠DBE)</span>

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Given that the number of credit cards, A, that is opened t months since January can be modeled by the function A(t) = 20 + 4t, while the number of credit cards opened at another location, B, is defined by the function B(t)=25−t.

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1 year ago

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