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avatar+150 

Question1: https://imgur.com/a/o5jKd

 

Question2: https://imgur.com/a/vl3Fg

 

Question3: https://imgur.com/a/u0Gu3

 

Question4: https://imgur.com/a/SWb3Y

 

Question5: https://imgur.com/a/D5npd

 

Question6: https://imgur.com/a/e2WoX

 

Question7: https://imgur.com/a/7Ndjd

 

Any help is greatly appreciated! smiley

Johnnyboy  Jan 23, 2018
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2+0 Answers

 #1
avatar+85633 
+1

1. 

SAS Similarity Theorem

 

2.   

 

40/ 32  =  x / 4       multiply both sides by   4

 

      4 * 40  / 32  = x

 

      160 / 32 = x

 

        5  =  x

 

3.  Triangle ABC  is similar to triangle DFG

 

So...... each side of DEF  is 6 times that of the corresponding side of ABC

 

So  DG  =  6AC  =  6*6   =  36

 

So.....the perimeter of  DFG  =  18 + 24 +  36   =  78

 

 

4.  A segment drawn parallel to a base splits the sides in  corresponding ratios

 

 AB / BD  =  AC / CE      .....so......

 

AB / 15  = 8 / 10       multiply both sides by   15

 

AB  = 15 * 8  / 10    =   120/10  =   12

 

 

5.  A bisected apex angle sets up the following ratio

 

AC / BC  = AD / BD

 

5 / 6  = x / 4.2       mltiply both sides by  4.2

 

4.2 * 5  /  6  = x    

 

21 / 6  =  x  =  7/2  =   3.5

 

 

 

6.  

 

8 / 12  =  [ x + 4 ] / [ 2x + 1 ]     cross-multiply

 

8 [ 2x + 1 ]  = 12 [ x + 4 ]          simplify

 

16x  +  8   =  12x   +  48        subtract 8, 12x   from both sides

 

4x  =  40          divide both sides by   4

 

x  = 10

 

 

 

7.   path length   =  √ [ 65^2 + 34^2  ]  =  √ [ 5381  =  73.4 m

 

 

 

cool cool cool

CPhill  Jan 23, 2018
 #2
avatar+150 
+1

Thanks so much :DD

Johnnyboy  Jan 23, 2018

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