Answer:
a). ΔABC ~ ΔBDC
b). m(BD) = 6 units
Step-by-step explanation:
If ΔABC ~ ΔBDC,
a). Ratio of the corresponding sides of both the triangles will be equal.
![\frac{AB}{BD}=\frac{BC}{DC}=\frac{AC}{BC}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BBD%7D%3D%5Cfrac%7BBC%7D%7BDC%7D%3D%5Cfrac%7BAC%7D%7BBC%7D)
![\frac{BC}{DC}=\frac{AC}{BC}](https://tex.z-dn.net/?f=%5Cfrac%7BBC%7D%7BDC%7D%3D%5Cfrac%7BAC%7D%7BBC%7D)
![\frac{12}{9}=\frac{7+9}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B9%7D%3D%5Cfrac%7B7%2B9%7D%7B12%7D)
![\frac{4}{3}=\frac{4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%3D%5Cfrac%7B4%7D%7B3%7D)
Since Ratio of the corresponding sides are same, therefore, both the triangles are similar.
b). ![\frac{AB}{BD}=\frac{BC}{DC}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BBD%7D%3D%5Cfrac%7BBC%7D%7BDC%7D)
![\frac{8}{BD}=\frac{12}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7BBD%7D%3D%5Cfrac%7B12%7D%7B9%7D)
BD = ![\frac{9\times 8}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B9%5Ctimes%208%7D%7B12%7D)
BD = 6
Answer:
For many(n) tickets, the average payoff is 0.5n, in which n is the number of tickets.
Step-by-step explanation:
1/1000 chance of winning.
This means that there is an 1/1000 probability of you earning $500.
1 - 1/1000 = 999/1000 chance of losing.
In this case, you earn nothing.
What is your average payoff from many tickets
![A = \frac{500*1}{1000} + \frac{0*999}{1000} = \frac{500}{1000} = 0.5](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B500%2A1%7D%7B1000%7D%20%2B%20%5Cfrac%7B0%2A999%7D%7B1000%7D%20%3D%20%5Cfrac%7B500%7D%7B1000%7D%20%3D%200.5)
Your average payoff from a ticket is 0.5. So for many(n) tickets, the average payoff is 0.5n, in which n is the number of tickets.
1.2(w + 4.7) = .84
Distribute the 1.2.
1.2*w= 1.2w
1.2*4.7= 5.64
1.2w+5.64=.84
Subtract 5.64 on both sides.
1.2w= -4.8
Divide 1.2 into both sides.
w= -4
I hope this helps!
~kaikers
The mean is the same thing as the average, so just add all of the numbers up and divide the total number of numbers.
(13 + 14 + 14 + 16 + 16 + 16 + 16 + 18 + 19)/10 = 16
Answer:
it increases the the hole
Step-by-step explanation: