+292 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! 
+128456 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
