The angle measure of ACB is 9 degrees
Answer: Option B
<u>Step-by-step explanation:</u>
To find the solution to the given problem, first we need to look into the point B. It consists two angles and both of them are on a straight angle. So, this means that the sum of angle ABC and CBD is 180 degrees, that is

We know that
. Therefore


Now, in the triangle ABC, we know that all three angles must sum 180 degrees,



Therefore, the angle ACB is 9 degrees.
25 students
194 balloons
194/25 = 7.76
Each student gets 7 balloons, 7 x 25 = 175 balloons will be used
194 - 175 = 19 balloons remaining (Answer to part 1 of this question)
If each student needs 8 balloons
8 * 25 = 200
200 - 194 = 6 ballons needed (Answer to part 2 of this question)
We also could have found the answer to part 2 by saying that we had 19 balloons left over when the students each were given 7 balloons
Each student needs another 1 balloon = 25 balloons,
We have 19 left over
25 - 19 = 6 balloons need to be purchased (we got the same answer both ways so it is very likely we have the correct answer)
Step-by-step explanation:
135 = <2 + 86 [exterior angle of triangle is equal to the sum of its oppsite two interior angles]
or, <2 = 135 - 86
so, <2 = 49°
Answer:
$2.70
Step-by-step explanation:
2.25*1.2 = 2.7
The correct answer is option (c) <span>P(not a hit) = 0.636
</span>The batting average of the baseball player =

= 0.364
Now, the probability of occurrence of any event is say, P, the probability of not occurrence of the event is given as = 1 - P
Therefore, <span>the probability that he will not get a hit at his next at bat = 1- 0.364 = 0.636</span>