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Answer : and
Greatest common factor of
If we are able to factor out from each option then that would be our answer.
Lets check with each options
(a), we cannot take out 5.
(b), We can take out common factor and it can be written as
(c) , we cannot take out n^2 because we have only 'n'
(d) , We can take out common factor and it can be written as
(e) , we cannot take out 5 because we have 24
So answer is (b) and (d)
Answer:
(A) AA Similarity Theorem
Step-by-step explanation:
Given: AB ∥ DE
To Prove:
Given Triangle ABC with Line DE drawn inside of the triangle and parallel to side AB. The line DE forms a new triangle DCE.
Because AB∥DE and segment CB crosses both lines, we can consider segment CB a transversal of the parallel lines.
Angles CED and CBA are corresponding angles of transversal CB and are therefore congruent, so ∠CED ≅ ∠CBA.
We can state ∠C ≅ ∠C using the reflexive property.
Therefore, by the AA similarity theorem.
Remark: In the diagram, we can see that the two triangles share Angle C and have two equal angles at E and B. Therefore, they are similar by the Angle-Angle Similarity Theorem.
