Respuesta :

Answer:

14.2 in

Step-by-step explanation:

If two tangent segments to a circle share a common endpoint outside the circle, then the two segments are congruent.

Each vertex is a common endpoint outside the circle so we can relabel the figure as shown below...

so ..the perimeter of the polygon is:-

[tex]p=2(1.6)+2(1.9)+(1.5)+2(2.1)\\[/tex]

[tex]p=3.2+3.8+3+4.2[/tex]

[tex]p=14.2 in[/tex]

[tex]-----------[/tex]

hope it helps...

have a great day!!

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