Answer/Step-by-step explanation:
1. <ABC and <BCD are alternate interior angles. Alternate interior angles are equal, therefore, since m<ABC = 38°, then m<BCD = 38°
2. m<ECF = m<BCD (corresponding angles)
m<ECF = 38° (substitution)
3. m<DCF + m<ECF = 180° (linear pair)
m<DCF + 38° = 180° (substitution)
m<DCF = 180° - 38° (Subtraction property of equality)
m<DCF = 142°
B. lx+4l +2
hope it helps
The volume of a rectangular prism is given by length x width x height.
Now in the question the volume is given, length is given, and width is given.
Set up a proportion
3 coins:8 notes and then the other one 24 coins : x (unknown notes)
they have a relationship so we can set them equal to each other.
3/8=24/x cross multiply: 8 * 24 = 192
Now divide that by 3: 192/3 = 64
So there are 64 notes in the bag
Considering a discrete distribution, it is found that the expected number of new employees to be hired by the airline is of 446.16.
<h3>What is the mean of a discrete distribution?</h3>
The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.
In this problem, considering the situation described in the text, the distribution is given by:
Hence, the expected value is given by:
E(X) = 0.37(867) + 0.63(199) = 446.16.
More can be learned about discrete distributions at brainly.com/question/24855677
