Answer:
7/12
Step-by-step explanation:
To find the probability of drawing a blue marble you need to find how many marbles there are in total.
So you have to add 3 red marbles, 7 blue marbles, and 2 green marbles to get the total.
So 3 + 7 + 2 = 12
There are 12 marbles in total so now you have to find how many blue marbles there are.
There are 7 blue marbles out of 12 marbles.
Now you have to put this as a fraction to see if it can be simplified.
7/12 cant be simplified, so the probability of drawing a blue marble is 7/12.
Answer:

Step-by-step explanation:
The measure of arc which the right triange cuts from the circle is
this means the central angle has the same measure.
Angle with measure
is inscribed angle subtended on the given arc. Its measure is half the measure of the central angle, hence

Angles with measures
and
are complementary angles (add up to 90°), so

Answer:
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