Answer:
<BAC = 20°
Step-by-step explanation:
It is given in the question that all 9 triangle which are formed are congruent, which means that in all triangles, the angle which is formed at point A is same.
Which means 9 angles collectively can be written as 9 · <BAC
If we consider all the 9 triangles, we can see in the figure that it forms a semicircle.
A semicircle has a total sum of angles equal to 180°
So we can write that:
9 · <BAC = 180°
Simplify for <BAC
<BAC = 20°
Answer:
Post office is true because 3/4 miles is 1320 yards and 3/8 is only 660 yards. So basically it will take A LONG TIME for him to get there at the library. But you know I am not always accurate /:
Answer:
Step-by-step explanation:
2x + y = - 2
<u>x + y = 5 </u> Subtract to get rid of the y
x = -2-5
x = -7
Answer:
4%
Step-by-step explanation:
370.00x4%=$14.80
Answer:
The probability that the next two balls are blue is 
Step-by-step explanation:
There is a total number of 12 balls in the jar (7 Red and 5 blue), if the first marble drawn is a given, that is it is a Red marble, then following the instruction the Red marble and two more Red marbles are added. Therefore making the total number of marbles in the jar to be 14 marbles (9 red and 5 blue).
<u>FIRST EVENT:</u> So the probability of drawing the second marble to be a blue marble becomes = 5/14 [<em>this is the number of blue marbles/ total number of marbles in the jar</em>].
Thereafter the blue marble is returned and two more blue marbles are added to the jar making a total of 16 marbles (9 red and 7 blue}.
<u>SECOND EVENT: </u>So the probability of drawing the third marble to be a blue marble becomes = 7/16 [<em>this is the number of blue marbles/ total number of marbles in the jar</em>].
However, this is not the final answer because the first event and the second event must occur together, therefore, one has to multiply the first events probability and the second events probability to get the probability we are looking for.
So, the probability of picking the next two to be blue = 5/14*7/16 (seven can reduce the 14 to a 2 based on division)
Therefore the probability = 5/32 (the 2 multiplies the 16)