Answer:7/36
Step-by-step explanation:
Firstly, I would draw a table to visually see what the outcomes are. There are many methods but this is what i find to be the easiest so here it goes!!!
I hope the pic helps! If you have any questions feel free to ask!
If it is a punchline the answer would be elepants.
If not a punchline animals can keep themselves warm with thick skin or feathers.
<u>The minimum distance is 492 meters from the house (500 - 8 = 492), and the maximum distance is 508 meters from the house (500 + 8 = 508). The dog may be slightly closer to the house, depending on how long the dog is, or if Morgan is using a leash extender.</u>
<span>180
n is the number of games. In this case it is 15. Enter this number into the function:
b(n) = 12n = 12(15) = 180.
Simply put, 12 balls are needed for each game.
15 x 12 = 180</span>
Given:
ΔABC
ΔDEF
To find:
The length of median CP
Solution:
In ΔABC,
AP = 12, BP = 12 and PC = 3x - 12
In ΔDEF,
DQ = 16, QE = 16 and FQ = 2x + 8
If two triangles are similar, then their median is proportional to the corresponding sides.
![$\Rightarrow \frac{AP}{DQ} =\frac{PC}{FQ}](https://tex.z-dn.net/?f=%24%5CRightarrow%20%5Cfrac%7BAP%7D%7BDQ%7D%20%3D%5Cfrac%7BPC%7D%7BFQ%7D)
![$\Rightarrow \frac{12}{16} =\frac{3x-12}{2x+8}](https://tex.z-dn.net/?f=%24%5CRightarrow%20%5Cfrac%7B12%7D%7B16%7D%20%3D%5Cfrac%7B3x-12%7D%7B2x%2B8%7D)
Do cross multiplication.
![$\Rightarrow 12(2x+8)=16(3x-12)](https://tex.z-dn.net/?f=%24%5CRightarrow%2012%282x%2B8%29%3D16%283x-12%29)
![$\Rightarrow 24x+96=48x-192](https://tex.z-dn.net/?f=%24%5CRightarrow%2024x%2B96%3D48x-192)
Add 192 on both sides.
![$\Rightarrow 24x+96+192=48x-192+192](https://tex.z-dn.net/?f=%24%5CRightarrow%2024x%2B96%2B192%3D48x-192%2B192)
![$\Rightarrow 24x+288=48x](https://tex.z-dn.net/?f=%24%5CRightarrow%2024x%2B288%3D48x)
Subtract 24x from both sides.
![$\Rightarrow 24x+288- 24x=48x- 24x](https://tex.z-dn.net/?f=%24%5CRightarrow%2024x%2B288-%2024x%3D48x-%2024x)
![$\Rightarrow 288=24x](https://tex.z-dn.net/?f=%24%5CRightarrow%20288%3D24x)
Divide by 24 on both sides.
⇒ 12 = x
Substitute x = 12 in CP.
CP = 3(12) - 12
= 36 - 12
= 24
The length of median CP is 24.