In a triangle all the angles add up to 180 degrees.So we know that
(6x-1)+20+(x+14)= 180
6x+x+14-1+20=180
v v
7x + 13 + 20= 180
v
7x + 33=180
-33 -33
0 147
7x/7 = 147/7
x = 21
x=21
Then you substitute:
(6x-1) (x+14)
(6×21-1) (21+14)
v v
126-1 35
125 degrees / 35 degrees
125+35+20=180
<span>(x')² - (y')² = 8
this is your answer hope it helps</span>
Answer:
48
Step-by-step explanation:
if 1 ft is 12 in
transfer 20 ft in to in
and you get 240
then do 240 divided by 5
then you get your answer of 48
Answer: 11,244,000
Step-by-step explanation:
From the question, we are informed that In 2013 the population of New York state was approximately 19.65 million and the population of New York City was 8,406,000.
To know the number of people in New York State did not live in New York City, we subtract 8,406,000 from 19.65 million. This will be:
= 19,650,000 - 8,406,000
= 11,244,000
Answer:
0.134 = 13.4% probability that a message is spam, given that it contains the word "text" (or "txt")
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Contains the word "text", or "txt".
Event B: Spam message.
The word "text" (or "txt") is contained in of all messages, and in of all spam messages.
This means that 
747 of the 5574 total messages () are identified as spam. The word "text" (or "txt") is contained in all of them. So

Then

0.134 = 13.4% probability that a message is spam, given that it contains the word "text" (or "txt")