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Lady_Fox [76]
3 years ago
10

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

Mathematics
1 answer:
Vilka [71]3 years ago
5 0

9514 1404 393

Answer:

  • x = 5.6
  • y = 65

Step-by-step 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

__

The segment lengths relation tells us ...

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

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

__

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

  y° = (85° +45°)/2 = 65°

_____

<em>Additional comment</em>

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.

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