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Solve for x. The polygons in each pair are similar.-pls label them

Solve for x. The polygons in each pair are similar.-pls label them-example-1

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1) x=7 2) x=10

Similar Triangles (SSS) have proportional correspondent sides. So, In the case 1.

1) We can write:


\begin{gathered} (42)/(49)=(8x-2)/(63) \\ (8x-2)49=63\cdot42 \\ 392x-98=2646 \\ 392x=2646+98 \\ x=(2646+98)/(32) \\ x=7 \end{gathered}

For the 2nd pair of triangles, let's evaluate using the same criteria, the proportionality between correspondent sides:


\begin{gathered} (6x-6)/(63)=(42)/(49) \\ (6x-6)/(63)=(6)/(7) \\ 6\cdot63=\text{ 7(6x-6)} \\ 378=42x-42 \\ 420=42x \\ x=(420)/(42) \\ x=10 \end{gathered}

Notice that a simplification was proceeded on 42/49 dividing both sides by 7.

User RDavey
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