Question

What is the value of x?
what is the value of y?
type in an integer or decimal​

Answer 1

9514 1404 393

Answer:

• x = 5.6
• y = 65

Explanation:

There are a couple of relations that are applicable to these questions.

• the product of segment lengths of crossed chords is the same for both chords
• the angle formed at crossed chords is the average of the intercepted arc measures

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The segment lengths relation tells us ...

10x = 8×7 . . . . . . products of segment lengths are equal

x = 56/10 = 5.6 . . . . divide by 10

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The value of y° is the average of the intercepted arcs:

y° = (85° +45°)/2 = 65°

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Additional comment

This diagram does not have enough information to allow computation of z. We would need to know the intercepted arc, or the length of the secant that meets tangent z.