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Find YZ. Geometry, circles.​
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1 vote
Find YZ.


Geometry, circles.​

Find YZ. Geometry, circles.​-example-1
User Nikita Davydov
by
8.6k points

1 Answer

3 votes

Answer:

YZ = 44

Explanation:

(2x - 6) × 21 = (x + 1) × 30 => intersecting chords theorem

42x - 126 = 30x + 30

Collect like terms

42x - 30x = 126 + 30

12x = 156

12x/12 = 156/12

x = 13

✔️Find YZ:

YZ = 30 + x + 1

Plug in the value of x

YZ = 30 + 13 + 1

YZ = 44

User Yeaske
by
8.8k points
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