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:
The 16ᵗʰ term of this sequence is 82
Step-by-step explanation:
Here,
First Term = a₁ = 9
Common Difference = (d) = 2
Now, For 16ᵗʰ term, n = 16
<em>aₙ = a + (n - 1)d</em>
a₁₆ = 7 + (16 - 1) × 2
a₁₆ = 7 + 15 × 5
a₁₆ = 7 + 75
a₁₆ = 82
Thus, The 16ᵗʰ term of this sequence is 82
<u>-TheUnknownScientist</u>
57 would be rounded to the number 100
Answer:
Step-by-step explanation:
from08:15 to 12:15=4hour
from1300 to 1730=4 and half hour
altogether # of hours worked=8 and half hour
8 and half hour x $12/hr=$102
Answer:
Step-by-step explanation:
the answer is 13 and 2.2