Pre-Calculus Homework Solutions 185

Pre-Calculus Homework Solutions 185 - 9 Using corresponding...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
9. Using corresponding angles, MAD MCB . C AM M x 25 20 1 3 2 x 300 3 x 2 60 x 0 3 x 2 60 x 300 0 x 2 20 x 100 0 ( x 10)( x 10) x 10 0 x 10 The scale factor is D BM M 1 3 2 x 3( 12 10) 3 1 0 2 or 5 : 2. 10. M PQ L 1 5 0 or 1 2 M PR N 1 6 2 or 1 2 Q LN R 3 6 or 1 2 Corresponding sides are proportional, so the triangles are similar by SSS Similarity. 11. PTS QTR since they are vertical angles. m PTS m QTR 90. m PTS m S m P 180 90 62 m P 180 m P 28 m QTR m R m Q 180 90 66 m Q 180 m Q 24 Since only one pair of corresponding angles is congruent, the triangles are not similar. 12. ED CB so AED ACB and ADE ABC because corresponding angles are congruent. Then the triangles are similar by AA Similarity. 13. G K K J G H H I 8 KJ KJ 1 4 2 4(8 KJ ) 12( KJ ) 32 4( KJ ) 12( KJ ) 32 16( KJ ) 2 KJ 14. G K K J G H H I G 6 K 14 7 7 G 6 K 7 7 7( GK ) 42 GK 6 15. G K K J G H H I 6 4 H 9 I 6( HI ) 36 HI 6 GI GH HI 9 6 or 15 16. Let x represent the perimeter of DEF . C E B F 1 1 0 4 7 10 x 13 1 1 0 4 3 x 0 10 x 420 x 42 The perimeter of DEF is 42 units. 17. CMA ACB and A A , so ABC ACM by AA Similarity. ( AM ) 2 6 2 10 2 ( AM ) 2 36 100 ( AM ) 2 64 AM 8 C B M C A A M C B 6 C 1 8 0 8( BC ) 60 BC 7.5 C B M C ¬ A A B C 7 6 .5 ¬ 8 10 MB 75 ¬4 48 6( MB ) 27 ¬ 6( MB ) 4.5 ¬ MB The perimeter of ABC is 10 7.5 8 4.5 or 30. 18. 19. 4 x ft ¬ 2 6 0 5 i i n n . . 4 x 8 ¬ 2 6 0 5 3120 ¬ 20 x 156 ¬ x The height of the top of the backboard is
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern