To solve this we are going to find the least common multiple of 8 and 12.
Remember that the least common multiple (LCM) of tow or more numbers is the smallest positive number that is multiple of those two or more numbers.
To find our LCM we are going to list the multiples of 8 and 12, and then, we are going to select the first common number in those lists:
Multiples of 8: 8,16,24,32,40,....
Multiples of 12: 12,24,36,48,...
Notice that the first common value between the two list is 24, and that is precisely the number of days it will take for drawing sessions to coincide.
We can conclude that after 24 days both<span> art studios will start a new drawing session on the same day.</span>
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Answer:
C)
region C
Step-by-step explanation:
We have to use what is called the zero-interval test [test point] in order to figure out which portion of the graph these inequalities share:

0 ≤ 2 ☑ [We shade the portion of the graph that CONTAIN THE ORIGIN, which is the bottom portion.]

0 ≥ −3 ☑ [We shade the portion of the graph that CONTAINS THE ORIGIN, which is the left side.]
So, now that we got that all cleared up, we can tell that both graphs share a region where the ORIGIN IS VISIBLE. Therefore region C matches the above inequalities.
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Answer:
see explanation
Step-by-step explanation:
Using the ratio equality for circles
= 
(a)
Note the angle at the centre of the shaded arc is 360° - 90° = 270°, thus
=
=
( cross- multiply )
3C = 180 ( divide both sides by 3 )
C = 60 mm
(b)
Note the angle at the centre of the shaded arc is 360° - 135° = 225°, thus
=
( cross- multiply )
225C = 1188 ( divide both sides by 225 )
C = 5.28 cm
Answer:
Answer: D. Q(5, −6) and R(−5, 6)
Step-by-step explanation: