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secant Vocabulary

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Concept

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**A. Find x. Theorem 10.12 Substitution Simplify. Answer: x = 82**

Use Intersecting Chords or Secants A. Find x. Theorem 10.12 Substitution Simplify. Answer: x = 82 Example 1

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**B. Find x. Step 1 Find mVZW. Theorem 10.12 Substitution Simplify.**

Use Intersecting Chords or Secants B. Find x. Step 1 Find mVZW. Theorem 10.12 Substitution Simplify. Example 1

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**mWZX = 180 – mVZW Definition of supplementary angles **

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 Example 1

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**Subtract 25 from each side.**

Use Intersecting Chords or Secants C. Find x. Theorem 10.12 Substitution Multiply each side by 2. Subtract 25 from each side. Answer: x = 95 Example 1

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A. Find x. A. 92 B. 95 C. 98 D. 104 Example 1

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B. Find x. A. 92 B. 95 C. 97 D. 102 Example 1

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C. Find x. A. 96 B. 99 C. 101 D. 104 Example 1

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Concept

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**Substitute and simplify.**

Use Intersecting Secants and Tangents A. Find mQPS. Theorem 10.13 Substitute and simplify. Answer: mQPS = 125 Example 2

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**B. Theorem 10.13 Substitution Multiply each side by 2. Answer:**

Use Intersecting Secants and Tangents B. Theorem 10.13 Substitution Multiply each side by 2. Answer: Example 2

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A. Find mFGI. A. 98 B. 108 C D Example 2

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B. A. 99 B C. 162 D. 198 Example 2

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Concept

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**A. Theorem 10.14 Substitution Multiply each side by 2.**

Use Tangents and Secants that Intersect Outside a Circle A. Theorem 10.14 Substitution Multiply each side by 2. Example 3

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**Subtract 141 from each side.**

Use Tangents and Secants that Intersect Outside a Circle Subtract 141 from each side. Multiply each side by –1. Example 3

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**B. Theorem 10.14 Substitution Multiply each side by 2.**

Use Tangents and Secants that Intersect Outside a Circle B. Theorem 10.14 Substitution Multiply each side by 2. Example 3

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**Use Tangents and Secants that Intersect Outside a Circle**

Add 140 to each side. Example 3

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A. A. 23 B. 26 C. 29 D. 32 Example 3

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B. A. 194 B. 202 C. 210 D. 230 Example 3

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**Theorem 10.14 Substitution Apply Properties of Intersecting Secants**

Example 4

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**Subtract 96 from each side.**

Apply Properties of Intersecting Secants Multiply each side by 2. Subtract 96 from each side. Multiply each side by –1. Example 4

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A. 25 B. 35 C. 40 D. 45 Example 4

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