2 years ago

Can someone help with number 28 and explain how todo it

Mathematics

1 answer:

Vesnalui [34]2 years ago

6 0

Base on tangent and secant rule for intersection,

The length of WZ is 12.

The angle of the arc XZ is 39 degrees.

<h3>What is tangent of a circle</h3>

The tangent to a circle is defined as a straight line that touches the circle at a single point.

Therefore,

WX × WY = WZ²

8 × (10 + 8) = WZ²

8 × 18 = WZ²

WZ² = 144

WZ = √144

WZ = 12

74° = 1 / 2(187 - arc XZ)

74 = 93.5 - arcXZ / 2

-19.5 = - arcXZ / 2

-39 = - arcXZ

-arcXZ = 39°

learn more on tangent here: brainly.com/question/12655272

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