12 The lengths of the two sides of a triangle are 3 units and 7 units, and the degree measure of the included angle is 60. Which one of the following statements is true? A The length of the third side of the triangle must be less than 10 units. B The length of the third side of the triangle is exactly 6 units. The length of the third side of the triangle must be greater than 10 units. There is not enough information to determine the length of the third side of the triangle, G.2

12 The lengths of the two sides of a triangle are 3 units and 7 units, and the degree measure of the included angle is 60. Which one of the following statements is true? A The length of the third side of the triangle must be less than 10 units. B The length of the third side of the triangle is exactly 6 units. The length of the third side of the triangle must be greater than 10 units. There is not enough information to determine the length of the third side of the triangle, G.2

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.4: Relationships: Perpendicular Lines

Problem 28E: In the proof below, provide the missing reasons. Given: 1 and 2 are complementary 1 is acute Prove:...

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In the proof below, provide the missing reasons. Given: 1 and 2 are complementary 1 is acute Prove: 2 is acute PROOF Statements Reasons 1. 1 and 2 are complementary 1. ? 1 2. m1+m2=90 2. ? 3. 1 is acute 3. ? 3 4. Where m1=x, 0x90 4. ? 2 5. x+m2=90 5. ? 5 6. m2=90x 6. ? 4 7. x090x 7. ? 7 8. 90x90180x 8. ? 7, 8 9. 090x90 9. ? 6, 9 10. 0m/290 10. ? 10 11. 2 is acute 11. ?
In the proof below, provide the missing reasons. Given: 1 and 2 are complementary 1 is acute Prove: 2 is also acute PROOF Statements Reasons 1. 1 and 2 are complementary 1. ? 1 2. m1+m2=90 2. ? 3. 1 is acute 3. ? 3 4. Where m1=x, 0x90 4. ? 2 5. x+m2=90 5. ? 5 6. m2=90x 6. ? 4 7. x090x 7. ? 7 8. 90x90180x 8. ? 7, 8 9. 090x90 9. ? 6, 9 10. 0m/290 10. ? 10 11. 2 is acute 11. ?
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