Question

1. Assume that segments that appear to be tangent are tangent.

Find ML to the nearest tenth.

2. Assume that segments that appear to be tangent are tangent.

Find WY.

Answer 1

1. Applying the pythagroean theorem, ML = 6.4.

2. Applying the two tangents theorem, WY = 37.

What is the Two Tangents Theorem?

The two tangents theorem states that two tangents drawn from a circle to meet at a point outside the circle are congruent.

Thus:

1. ΔJKL is a right triangle, find JL using the Pythagorean theorem:

JL = √(16² - 9.6²)

JL = 12.8

Therefore:

ML = 1/2(JL)

ML = 1/2(12.8) (radius of circle)

ML = 6.4.

2. Based on the two tangents theorem, we have:

43 - 2x = 12x + 1

-2x - 12x = -43 + 1

-14x = -42

x = 3

WY = 43 - 2x

Plug in the value of x

WY = 43 - 2(3)

WY = 37

Learn more about the two tangents theorem on:

https://brainly.com/question/9892082