use intersecting chords or secants a. find x. answer: theorem 10.12 substitution simplify
TRANSCRIPT
![Page 1: Use Intersecting Chords or Secants A. Find x. Answer: Theorem 10.12 Substitution Simplify](https://reader035.vdocuments.site/reader035/viewer/2022062217/5697bfd51a28abf838cad5b9/html5/thumbnails/1.jpg)
Secants, Tangents and
Angle Measures
Section 10.6
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KNOW
THIS
PROOF
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Use Intersecting Chords or Secants
A. Find x.
Answer:
Theorem 10.12
Substitution
Simplify.
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Use Intersecting Chords or Secants
A. Find x.
Answer: x = 82
Theorem 10.12
Substitution
Simplify.
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Use Intersecting Chords or Secants
B. Find x.
Theorem 10.12
Substitution
Simplify.
Step 1 Find mVZW.
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Use Intersecting Chords or Secants
Step 2 Find mWZX.
mWZX = 180 – mVZW Definition of supplementary angles
x = 180 – 79 Substitution
x = 101 Simplify.
Answer:
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Use Intersecting Chords or Secants
Step 2 Find mWZX.
mWZX = 180 – mVZW Definition of supplementary angles
x = 180 – 79 Substitution
x = 101 Simplify.
Answer: x = 101
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C. Find x.
Theorem 10.12
Substitution
Multiply each side by 2.
Use Intersecting Chords or Secants
Subtract 25 from each side.
Answer:
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C. Find x.
Theorem 10.12
Substitution
Multiply each side by 2.
Use Intersecting Chords or Secants
Subtract 25 from each side.
Answer: x = 95
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A. 92
B. 95
C. 98
D. 104
A. Find x.
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A. 92
B. 95
C. 98
D. 104
A. Find x.
![Page 12: Use Intersecting Chords or Secants A. Find x. Answer: Theorem 10.12 Substitution Simplify](https://reader035.vdocuments.site/reader035/viewer/2022062217/5697bfd51a28abf838cad5b9/html5/thumbnails/12.jpg)
A. 92
B. 95
C. 97
D. 102
B. Find x.
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A. 92
B. 95
C. 97
D. 102
B. Find x.
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A. 96
B. 99
C. 101
D. 104
C. Find x.
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A. 96
B. 99
C. 101
D. 104
C. Find x.
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Use Intersecting Secants and Tangents
A. Find mQPS.
Theorem 10.13
Substitute and simplify.
Answer:
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Use Intersecting Secants and Tangents
A. Find mQPS.
Theorem 10.13
Substitute and simplify.
Answer: mQPS = 125
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B.
Theorem 10.13
Use Intersecting Secants and Tangents
Substitution
Multiply each side by 2.
Answer:
![Page 20: Use Intersecting Chords or Secants A. Find x. Answer: Theorem 10.12 Substitution Simplify](https://reader035.vdocuments.site/reader035/viewer/2022062217/5697bfd51a28abf838cad5b9/html5/thumbnails/20.jpg)
B.
Theorem 10.13
Use Intersecting Secants and Tangents
Substitution
Multiply each side by 2.
Answer:
![Page 21: Use Intersecting Chords or Secants A. Find x. Answer: Theorem 10.12 Substitution Simplify](https://reader035.vdocuments.site/reader035/viewer/2022062217/5697bfd51a28abf838cad5b9/html5/thumbnails/21.jpg)
A. 98
B. 108
C. 112.5
D. 118.5
A. Find mFGI.
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A. 98
B. 108
C. 112.5
D. 118.5
A. Find mFGI.
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A. 99
B. 148.5
C. 162
D. 198
B.
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A. 99
B. 148.5
C. 162
D. 198
B.
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Use Tangents and Secants that Intersect Outside a Circle
A.
Theorem 10.14
Substitution
Multiply each side by 2.
![Page 27: Use Intersecting Chords or Secants A. Find x. Answer: Theorem 10.12 Substitution Simplify](https://reader035.vdocuments.site/reader035/viewer/2022062217/5697bfd51a28abf838cad5b9/html5/thumbnails/27.jpg)
Use Tangents and Secants that Intersect Outside a Circle
Subtract 141 from each side.
Multiply each side by –1.
![Page 28: Use Intersecting Chords or Secants A. Find x. Answer: Theorem 10.12 Substitution Simplify](https://reader035.vdocuments.site/reader035/viewer/2022062217/5697bfd51a28abf838cad5b9/html5/thumbnails/28.jpg)
Use Tangents and Secants that Intersect Outside a Circle
Subtract 141 from each side.
Multiply each side by –1.
![Page 29: Use Intersecting Chords or Secants A. Find x. Answer: Theorem 10.12 Substitution Simplify](https://reader035.vdocuments.site/reader035/viewer/2022062217/5697bfd51a28abf838cad5b9/html5/thumbnails/29.jpg)
Use Tangents and Secants that Intersect Outside a Circle
B.
Theorem 10.14
Substitution
Multiply each side by 2.
![Page 30: Use Intersecting Chords or Secants A. Find x. Answer: Theorem 10.12 Substitution Simplify](https://reader035.vdocuments.site/reader035/viewer/2022062217/5697bfd51a28abf838cad5b9/html5/thumbnails/30.jpg)
Use Tangents and Secants that Intersect Outside a Circle
Add 140 to each side.
![Page 31: Use Intersecting Chords or Secants A. Find x. Answer: Theorem 10.12 Substitution Simplify](https://reader035.vdocuments.site/reader035/viewer/2022062217/5697bfd51a28abf838cad5b9/html5/thumbnails/31.jpg)
Use Tangents and Secants that Intersect Outside a Circle
Add 140 to each side.
![Page 32: Use Intersecting Chords or Secants A. Find x. Answer: Theorem 10.12 Substitution Simplify](https://reader035.vdocuments.site/reader035/viewer/2022062217/5697bfd51a28abf838cad5b9/html5/thumbnails/32.jpg)
A. 23
B. 26
C. 29
D. 32
A.
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A. 23
B. 26
C. 29
D. 32
A.
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A. 194
B. 202
C. 210
D. 230
B.
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A. 194
B. 202
C. 210
D. 230
B.
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Apply Properties of Intersecting Secants
Theorem 10.14
Substitution
![Page 37: Use Intersecting Chords or Secants A. Find x. Answer: Theorem 10.12 Substitution Simplify](https://reader035.vdocuments.site/reader035/viewer/2022062217/5697bfd51a28abf838cad5b9/html5/thumbnails/37.jpg)
Apply Properties of Intersecting Secants
Multiply each side by 2.
Subtract 96 from each side.
Multiply each side by –1.
![Page 38: Use Intersecting Chords or Secants A. Find x. Answer: Theorem 10.12 Substitution Simplify](https://reader035.vdocuments.site/reader035/viewer/2022062217/5697bfd51a28abf838cad5b9/html5/thumbnails/38.jpg)
Apply Properties of Intersecting Secants
Multiply each side by 2.
Subtract 96 from each side.
Multiply each side by –1.
![Page 39: Use Intersecting Chords or Secants A. Find x. Answer: Theorem 10.12 Substitution Simplify](https://reader035.vdocuments.site/reader035/viewer/2022062217/5697bfd51a28abf838cad5b9/html5/thumbnails/39.jpg)
A. 25
B. 35
C. 40
D. 45
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A. 25
B. 35
C. 40
D. 45
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