C=2πr=2(9)π=18π......
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Answer:
Step-by-step explanation:
910
901
640
631
622
613
604
Answer:
Step-by-step explanation:
∠5 = ∠1 {Alternate exterior angles are congruent}
8x - 19 = 7x - 3
Add 19 to both sides
8x = 7x - 3 + 19
8x = 7x + 16
Subtract 7x from both sides
8x - 7x = 16
x = 16
∠5 = 8x - 19
= 8*16 - 19
= 128 - 19
∠5 = 109
∠5 + ∠4 = 180 {linear pair]
109 + ∠4 = 180
∠4 = 180 - 109
∠4 = 71°
Answer:
<em>Y alone can do the piece of work in 30 days.</em>
Step-by-step explanation:
<u>Proportions</u>
Let's make:
N = days for Y to finish the work alone
Since X alone can do it in 15 days, each day he can do a proportion of 1/15 of the piece of work.
Since Y alone can (possibly) do it in N days, each day he can do 1/N parts of the work.
Together, they do

parts of the work per day. We know they can finish it in 10 days, thus:

Rearranging:

The LCM of 10 and 15 is 30, thus operating:

Solving for N:
N = 30
Y alone can do the piece of work in 30 days.