A private hospital gets an average of 2.1 hospital admissions a day from its emergency room. X is the count of hospital admissions from the emergency room in a day. What is the probability that the hospital will see at least 4 admits from the emergency room on a randomly selected day

x = 5 and z = 108

Step-by-step explanation:

We have two intersection lines and since z and 108 lie opposite each other, they are called vertical angles. By definition, vertical angles are congruent to each other, so that means z = 108.

Now, notice that z and 6x + 42 lie on the same line. A line has a measure of 180 degrees, which means that these two will add up to 180 (they are supplementary angles). Then we can write:

z + (6x + 42) = 180

We already know that z = 108, so plug that in and solve for x:

108 + (6x + 42) = 180

6x + 150 = 180

6x = 30

x = 5

Thus, x = 5 and z = 108.