Answer:
- Q6. x = 17
- Q8. Yes, parallel
- Q9. No, not parallel
Step-by-step explanation:
Q6. Solve for x
<u>Use ratios of similar sides</u>
- 28/(82 - 28) = (2x + 8)/(5x - 4)
- 28/54 = (2x + 8)/(5x - 4)
- 14/27 = (2x + 8)/(5x - 4)
- 14(5x - 4) = 27(2x + 8)
- 70x - 56 = 54x + 216
- 70x - 54x = 56 + 216
- 16x = 272
- x = 272/16
- x = 17
Q8
If ratios are same, the lines are parallel
- 41.8/33 = (102 - 45)/45
- 41.8/33 = 57/45
- 41.8*45 = 33*57
- 1881 = 1881
Yes, lines are parallel
Q9
Incorrect, lines are not parallel
It's going to be 10 because it's closer to ten
Answer:
80 ft
Step-by-step explanation:
We are given two similar triangles ABC and DFG
When two triangles are similar then the ratio of their corresponding sides are equal.

AB=4 ft
BC=5ft
AC=7 ft
DF=20 ft
FG=25 ft



Perimeter of DFG=DF+FG+DG=20+25+35=80 ft
Hence, she would need fence for triangle DFG=80 ft
Answer:
90ft
Step-by-step explanation:
I draw it out and add a dotted line to make a triangle and rectangle then you find the area of them individually and add the two together.
Rectangle:
6*3=18
Triangle:
Add the 6+6 together to get the height of the triangle and subtract the 3 from the 15 to get the base
(12*12)
144/
72
Total area:
18+72
90ft