4m+28=44
4m=44-28
4m=16
m=16/4
m=4
From the figure, the vertices of the given triangle are
(-3,4), (1,3) and (5,5).
The given transformation is (x,y) -> (x+3, y-2).
Therefore the coordinates of the transformed triangle are
(-3+3,4-2), (1+3,3-2), (5+3,5-2) = (0,2), (4,1), (8,3)
The transformed triangle is shown in red color.
Answer:
a) 
b) 
c) 
d) 
e) The intersection between the set A and B is the element c so then we have this:

Step-by-step explanation:
We have the following space provided:
![S= [a,b,c,d,e]](https://tex.z-dn.net/?f=%20S%3D%20%5Ba%2Cb%2Cc%2Cd%2Ce%5D)
With the following probabilities:

And we define the following events:
A= [a,b,c], B=[c,d,e]
For this case we can find the individual probabilities for A and B like this:


Determine:
a. P(A)

b. P(B)

c. P(A’)
From definition of complement we have this:

d. P(AUB)
Using the total law of probability we got:

For this case
, so if we replace we got:

e. P(AnB)
The intersection between the set A and B is the element c so then we have this:

The value of 3 in 4,385 is 1/10 times the value of 3 in 3,999.
because, value of 3 in 4,385 is 300 and value of 3 in 3,999 is 3000
Answer:
The number is 10/3
Step-by-step explanation:
<u>Step 1: Convert words into an expression</u>
Three times a number increased by ten is equal to twenty
(3n) + 10 = 20
<u>Step 2: Subtract 10 from both sides</u>
3n + 10 - 10 = 20 - 10
3n = 10
<u>Step 3: Divide both sides by 3</u>
3n / 3 = 10 / 3
n = 10/3
Answer: The number is 10/3