Parallel = same slope
Find slope of 3x + 5y = 8
Turn into y = mx + b
5y = -3x + 8
Divide by 5
y = -3/5x + 8/5
Slope is -3/5
Y = -3/5x + b, find y intercept
Plug in the point
4 = -3/5(10) + b
4 = -6 + b, b = 10
Final equation: y = -3/5x + 10
Answer:

Step-by-step explanation:
Answer: A B == 9 + 11 CD == 5 +7 E F == 6 + 10
Step-by-step explanation:
(This reminds me of a "formula" I developed a few years ago when I was photographing formal groups, and had to figyre out how many people to put in each row, and the rows had to be different lengths) Anyway--
Get the sum of the numbers at the angles, subtract that number from 32, and that's the amount needed for the row.
Once I have that number, divide by 2 and split as "n + 1 and n-1
AB side: angles given: 8 +4=12 , 32-12 =20 20/2 = 10; 10+1 =11 10-1=9
CD side: angles given: 8 + 12 =20, 32-20=12; 12/2 =6 6+1 =7 6-1 =5
EF side: angles given: 4 + 12 =16 32-16=16 My formula would have yielded 7+9, but those numbers were already used. Conveniently, 10 + 6 are left over. Same principle, but + or - 2.
Thanks for the opportunity to work in this!
It is a fun way for me to end my participation in Brainly for a while. My school year is over!
Good Luck, Stay Safe!
Answer:
The probability that they purchased a green or a gray sweater is 
Step-by-step explanation:
Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:
P(A∪B)= P(A) + P(B) - P(A∩B)
Where:
P (A): probability of event A occurring.
P (B): probability that event B occurs.
P (A⋃B): probability that event A or event B occurs.
P (A⋂B): probability of event A and event B occurring at the same time.
Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)
In this case, being:
- P(A)= the probability that they purchased a green sweater
- P(B)= the probability that they purchased a gray sweater
- Mutually exclusive events
You know:
- 8 purchased green sweaters
- 4 purchased gray sweaters
- number of possible cases= 12 + 8 + 4+ 7= 21
So:
Then:
P(A∪B)= P(A) + P(B)
P(A∪B)= 
P(A∪B)= 
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