Required: find the length of XW. Round to the nearest tenth.
Step-by-step explanation:
We know that,
Secant Theorem: If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
So,
UV2 = VW x VX 112 = 7 x VX
121 7 VX =
VX = €17.2857 VX≈ 17.3
So,
U * V ^ 2 = VWVX 11 ^ 2 = 7VX VX = 121/7 VX = 17.2857 VX≈ 17.3
now,
VX = XW + WV 17.3 = XW + 7 XW = 17.3 - 7 XW = 10.3
Final Answer:
XW = 10.3