Answer:
scale factor P to Q: 4/5 scale factor Q to P: 5/4
Step-by-step explanation:
Divide original length over new length and you'll get the scale factor.
Just did a specific one of these; let's do the general case.
The point nearest the origin is (a,b).
The line from the origin through the point is

The line we seek is perpendicular to this one. We swap the coefficients on x and y, negating one, to get the perpendicular family of lines. We set the constant by plugging in the point (a,b):


That's standard form; let's plug in the numbers:


Answers:
- Red = 1/3
- Yellow = 7/15
- Blue = 1/5
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Explanation:
Add up all the frequencies in the table to see that there are 120+168+72 = 360 spins total.
- Of those 360 spins, 120 of them land on red. The probability of landing on red is 120/360 = (120*1)/(120*3) = 1/3
- Since 168 land on yellow, this means the probability of landing on yellow is 168/360 = (24*7)/(24*15) = 7/15
- Lastly, we have 72 occurrences of blue out of 360 total spins. The probability of landing on blue is 72/360 = (72*1)/(72*5) = 1/5
Step-by-step explanation:
l
- lcm 3
- use the lcm to divide the answers by 3
Answer:
Find out the what is the salesman's commission as a percent of his total monthly sales .
To prove
Formula

As given
A car salesman had $65,100 in total monthly sales last month. He made $1,953 in commission from those sales.
Here
Part value = $1953
Total value = $ 65100
Put in the formula


Percentage = 3%
Therefore the salesman's commission as a percent of his total monthly sales is 3% .