Answer:
A. Because the measure of the angle is and the angles and are Vertical angles. Therefore, they are congruent ( )
B.
Step-by-step explanation:
<h3> <em><u>The missing figure is attached.</u></em></h3><h3 />
You can observe in the figure that the parallel lines and are intersected by a another line (this is a transversal).
Let's begin with PART B:
Observe that the angles and are located inside the parallel lines and they alternate sides of the transversal. Therefore, we can determine that these angles are "Alternate Interior Angles".
Since the lines and are parallel, we know that the Alternate Interior Angles are congruent. Then:
Now we can solve the PART A.
Observe the figure.
Since the angle and the angle share the same vertex, they are "Vertical angles" and, therefore, they are congruent:
-5
This is just to fill out the space of twenty characters
Answer:
Expected number of guests is 100.4.
Step-by-step explanation:
It is given that there are 161 guest if there is a heavy snow fall.
Also, the probability for a heavy snow fall is 0.40.
Therefore, P(X = 161) =0.4.
It is also given that there are 60 guests if there is a light snow fall.
The probability for a light snow fall is 1 - 0.4 = 0.6.
Therefore, P(X = 60) = 0.6.
Expected number of guests = (161)P(X = 161) + (60)P(X = 60)
= 161(0.4) + 60(0.6)
= 64.4 + 36
= 100.4
Answer:
Probability = 4 / 51 = 0.0784
Step-by-step explanation:
We have a deck with 52 cards, and in this deck we have a total of 4 king cards.
If the first card drawn is a jack, now we have only 51 cards left, and we still have 4 king cards in the deck.
So the probability of drawing a king for the second card is the number of king cards (4) over the number of cards in the moment (51):
Probability = 4 / 51 = 0.0784