100 degrees, because since it is given that PR and QS are diameters, their arcs are 180 degrees each. To find SR, first you must find arc PS. to find PS, use the 40 degrees of the inscribed angle to find the arc of PS, which is double the amount (80 degrees). Then the other half of the arc must be 100 degrees since it has to be 180 degrees in total. And so 100 degrees is your answer.
1320 ways
This can be solved using something called permutation. There are 12 possible swimmers that can be in first place. After that, 11 swimmers left to be in second place. Finally there are 10 swimmers left for third place. Multiply these together you get 12•11•10=1320. Hope this helps!!
The answer is:
[A]: "
" .
________________________________________Given:
2/ (7x) = 6/5;
→ (6/5) * (7x) = 2 ;
42x / 5 = 2 ;
42x = 2*5 ;
42x = 10 ;
42x /42 = 10/42 ;
x = 10/42 = (10÷2) / (42÷2) = 5/21 ;
x =
;
→ which is:
Answer choice: [A]: "
" .
__________________________________________________
Answer:
153
Step-by-step explanation:
The figure shows a right triangle with acute angle of 27°, this angle is the angle between the water level and the ski ramp.
It is also shown the suplementary angle 27° marked as X°, which is the angle that you must determine.
In the figure is clear that x is the exterior angle of the corner with the angle of 27° and that X° + 27° = 180°.
Then you can solve for X.
X = 180° - 27° = 153°.
Answer: 153°
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