The length of BC = 72
Solution:
Given ΔABC and ΔDEF are similar triangles.
ΔABC
ΔDEF
AB = 54, BC = n, EF = 12, DE = 9
Similar triangle theorem:
If two triangles are similar then the corresponding sides are proportional to each other.
![$\Rightarrow\frac{BC}{EF}=\frac{AB}{DE}](https://tex.z-dn.net/?f=%24%5CRightarrow%5Cfrac%7BBC%7D%7BEF%7D%3D%5Cfrac%7BAB%7D%7BDE%7D)
Substitute the given values, we get
![$\Rightarrow\frac{n}{12}=\frac{54}{9}](https://tex.z-dn.net/?f=%24%5CRightarrow%5Cfrac%7Bn%7D%7B12%7D%3D%5Cfrac%7B54%7D%7B9%7D)
Do cross multiplication.
![$\Rightarrow9\times n=54\times12](https://tex.z-dn.net/?f=%24%5CRightarrow9%5Ctimes%20n%3D54%5Ctimes12)
Divide both sides of the equation by 9.
![$\Rightarrow n=\frac{54\times12}{9}](https://tex.z-dn.net/?f=%24%5CRightarrow%20n%3D%5Cfrac%7B54%5Ctimes12%7D%7B9%7D)
![$\Rightarrow n=6\times12](https://tex.z-dn.net/?f=%24%5CRightarrow%20n%3D6%5Ctimes12)
![$\Rightarrow n=72](https://tex.z-dn.net/?f=%24%5CRightarrow%20n%3D72)
⇒ BC = 72
Option B is the correct answer.
The length of BC = 72.
The answer would be 3. because 3•3=9, square root of 9= 3
The mathematical equation for this word problem would be . . .
3/4 / 8
This equation also equals . . .
3/4 * 1/8
Then you would multiply the numerators together and the denominators together . . .
3 * 1/4 * 8
This simplifies to . . .
3/32
So, each student can get 3/32 of the cake.
Answer: 3/32 of the cake
Answer:
I don't know man but I need the points
Step-by-step explanation:
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