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
Answer:
44 feet
If it takes the horse 44 feet per second, and it takes the cheetah 88 feet, the difference is 44.
So, the horse must be 44 feet ahead to be safe. Hope it helps!
Answer:
8 and 9
Step-by-step explanation:
8² = 64, and 9² = 81. Equivalently, √64 = 8 and √81 = 9. Since 67 is between 64 and 81, √67 must be between 8 and 9.
You need to be clearer on what the "roots" are, I haven't learned that term ever, but I think I know what you mean...
The answer is 275 because when you multiply 11 by 25 you get 275
