natalieareyna
natalieareyna natalieareyna
  • 03-06-2017
  • Mathematics
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Tangent VU and secant VY intersect at point V. Find the length of VY Round the answer to the nearest tenth, if needed.

Tangent VU and secant VY intersect at point V Find the length of VY Round the answer to the nearest tenth if needed class=

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jdoe0001 jdoe0001
  • 03-06-2017
check the picture below

solve for "x"
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eudora eudora
  • 01-04-2019

Answer:

x = 9.9 is the answer.

Step-by-step explanation:

In this question UV is the tangent and VY is the secant intersecting circle at W.

Measurement of VW = WY = x and measurement of UV = 14

We have to calculate the value of x.

From intersecting secant and tangent theorem

VU² = VW × (VW+WY) = (x)(x + x) = x(2x) = 2x²= 14²

2x² = 196

x² = 196/2 = 98

x = √98 = 9.89 ≈ 9.9

Therefore x = 9.9

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