Pre-Calculus Homework Solutions 186

Pre-Calculus Homework Solutions 186 - Similarity Theorem we...

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10. y 2 y 1 5 m ( x 2 x 1 ) y 2 2 5 3( x 2 2) y 2 2 5 3 x 2 6 y 5 3 x 2 4 11. PQ 5 } 1 2 } EF 20 5 } 1 2 } (3 x 1 4) 20 5 } 3 2 } x 1 2 18 5 } 3 2 } x 12 5 x 12. } 2 4 0 0 c m m } 5 ¬ } 2 4 0 0 } 5 ¬ } 10 x 9 } 2180 5 ¬ 40 x 54.5 5 ¬ x The perimeter of the model is 54.5 cm. 13a. m 5 } (1 ( 6 4 0 2 2 0 4 ) 0) } 5 } 12 4 0 } 5 30 13b. The slope represents the monthly flat rate, so the company charges a flat rate of \$30 per month. 13c. y 2 y 1 5 m ( x 2 x 1 ) y 2 40 5 30( x 2 0) y 2 40 5 30 x y 5 30 x 1 40 13d. The new monthly rate will be \$25 per month, so the equation will be y 5 25 x 1 40. The graph will have a less steep slope. 14a. Using the Triangle Proportionality Theorem, if a line is parallel to one side of a triangle and intersects the other two sides in two distinct points, then it separates these sides into segments of proportional length, so } A A E C } 5 } A A D B } . Since the corresponding sides are proportional and the included angle, / A ,is the same, by SAS
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Unformatted text preview: Similarity Theorem we know that the triangles are similar. 14b. If B is between A and D and C is between A and E , then } B AB C } 5 } D AD E } . } 3 1 5 4 } 5 ¬ } 3500 D 1 E 1500 } } 3 1 5 4 } 5 ¬ } 5 D 00 E } 3500( DE ) 5 ¬ 7,000,000 DE 5 ¬ 2000 If D is between A and B and E is between A and C , then } B AB C } 5 } D AD E } . } 3 1 5 4 } 5 ¬ } 3500 D 2 E 1500 } } 3 1 5 4 } 5 ¬ } 2 D 00 E } 3500( DE ) 5 ¬ 2,800,000 DE 5 ¬ 800 So, DE is 2000 feet or 800 feet. perimeter of model }}} 23 1 40 1 46 Chapter 6 188...
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