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In the figure below, UX and UV are tangent to the circle centered at 0. The segment XV passes through the center of the
circle. Given that UX= 15.7 and XV = 8.5, find XW.
Help

Respuesta :

Answer:

2.5

Step-by-step explanation:

The computation of the XW is shown below

As triangle UVX is a right angle

So

VU^2 = XU^2 - VX^2

VU^2 = 15.7^2 - 8.5^2

VU^2 = 246.49 - 72.25

VU^2 = 174.24

VU = 13.2

As VU = WX because of same point tangent

NOw XW is

= UX - UW

= 15.7 - 13.2

= 2.5

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