+0

0
300
2
+299

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!

Jan 23, 2018

#1
+101360
+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

Jan 23, 2018
#2
+299
+1

Thanks so much :DD

Johnnyboy  Jan 23, 2018