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so I answered some but not sure if they are correct so please help me and the last part I need the answer

so I answered some but not sure if they are correct so please help me and the last-example-1

1 Answer

7 votes

x=7

Step-by-step explanation

As the triangles are similar


\begin{gathered} AC=DF \\ AB=DE \\ BC=EF \end{gathered}

in the same way, the angles are the same

so


\begin{gathered} m\measuredangle C=m\measuredangle F \\ \text{replace} \\ 2x+14=4x \\ \text{solve for x} \\ \text{subtract 2x in both sides} \\ 2x+14-2x=4x-2x \\ 14=2x \\ \text{divide both sides by 2} \\ (14)/(2)=(2x)/(2) \\ 7=x \end{gathered}

Hence, when x= 7 the triangles are congruent.

the sides have 2 sides at common and one side, so


\text{SAS}

I hope this helps you

User Michael Marsee
by
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