Answer:
option C. Angle BTZ Is-congruent-to Angle BUZ
Step-by-step explanation:
Point Z is equidistant from the vertices of triangle T U V
So, ZT = ZU = ZV
When ZT = ZU ∴ ΔZTU is an isosceles triangle ⇒ ∠TUZ=∠UTZ
When ZT = ZV ∴ ΔZTV is an isosceles triangle ⇒ ∠ZTV=∠ZVT
When ZU = ZV ∴ ΔZUV is an isosceles triangle ⇒ ∠ZUV=∠ZVU
From the figure ∠BTZ is the same as ∠UTZ
And ∠BUZ is the same as ∠TUZ
So, the statement that must be true is option C
C.Angle BTZ Is-congruent-to Angle BUZ
Answer:
1,267,200
Step-by-step explanation:
Given that the map reported that the scale is 1 inch to 20 miles.
Recall that there are 63,360 inches in 1 mile, thus, in 20 miles, we have 20 x 63,360 = 1,267,200
Therefore, the scale of 1 inch to 20 miles can also be represented as 1 to 1,267,200
Answer:
0.8894 is the probability that the test result comes back negative if the disease is present
.
Step-by-step explanation:
We are given the following in the question:
P(Disco Fever) = P( Disease) =

Thus, we can write:
P(No Disease) =

P(Test Positive given the presence of the disease) = 0.99

P( false-positive) = 4%

We have to evaluate the probability that the test result comes back negative if the disease is present, that is
P(test result comes back negative if the disease is present)
By Bayes's theorem, we can write:

0.8894 is the probability that the test result comes back negative if the disease is present
.
Answer:
20
Step-by-step explanation: