Pentagon rstuv is circumscribed about a circle. what is the value of x if rs = 6, st = 9, tu = 7, uv = 15, and vr = 14?

Starting at vertex V going until vertex S, we make our calculations.

VR = 14

Rx = x

therefore, xS = VR – Rx

xS = 14 – x                           ---> 1

Now starting at vertex V going left to vertex S, we make our next set of calculations. Assuming x is on VR but nearer R

VR  = 14 - x

at UV = 15 – (14 – x)

at UV = 1 + x

at TU = 7 – (1 + x)

at TU = 6 – x

at ST = 9 – (6 – x)

at ST = 3 + x                        ---> 2

Equate 1 and 2:

14 – x = 3 + x

2 x = 11

x = 5.5

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step-by-step explanation:

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