It's ASA
<C = <D
CB = DE
<B = <E
hope it helps
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Answer:
![{x}^{y} = {y}^{x} \: - - - (1)](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7By%7D%20%20%3D%20%20%7By%7D%5E%7Bx%7D%20%20%5C%3A%20%20-%20%20-%20%20-%20%20%281%29)
![x = 2y \: - - - (2)](https://tex.z-dn.net/?f=x%20%3D%202y%20%5C%3A%20%20-%20%20-%20%20-%20%282%29)
Substitute (2) into (1):
![{2y}^{y} = {y}^{2y}](https://tex.z-dn.net/?f=%20%7B2y%7D%5E%7By%7D%20%20%3D%20%20%7By%7D%5E%7B2y%7D%20)
Log both sides:
![lg(2 {y}^{y} ) = lg(y^{2y} )](https://tex.z-dn.net/?f=lg%282%20%7By%7D%5E%7By%7D%20%29%20%3D%20lg%28y%5E%7B2y%7D%20%29)
![y \: lg(2y) = 2y(lg \: y)](https://tex.z-dn.net/?f=y%20%5C%3A%20lg%282y%29%20%3D%202y%28lg%20%5C%3A%20y%29)
![y \: lg(2) + y \: lg(y) = 2y \: lg(y)](https://tex.z-dn.net/?f=y%20%5C%3A%20lg%282%29%20%2B%20y%20%5C%3A%20lg%28y%29%20%3D%202y%20%5C%3A%20lg%28y%29)
![y \: lg(2) = 2y \: lg(y) - y \: lg(y)](https://tex.z-dn.net/?f=y%20%5C%3A%20lg%282%29%20%3D%202y%20%5C%3A%20lg%28y%29%20-%20y%20%5C%3A%20lg%28y%29)
![y \: lg(2) = y \: lg(y)](https://tex.z-dn.net/?f=y%20%5C%3A%20lg%282%29%20%3D%20y%20%5C%3A%20lg%28y%29)
Divide by y on both sides:
![lg(2) = lg(y)](https://tex.z-dn.net/?f=lg%282%29%20%3D%20lg%28y%29)
![{10}^{lg(2)} = {10}^{lg(y)}](https://tex.z-dn.net/?f=%20%7B10%7D%5E%7Blg%282%29%7D%20%20%3D%20%20%7B10%7D%5E%7Blg%28y%29%7D%20)
2= y
y= 2 (proved)
Explanation:
• step 5: lg(m)^n= nlg(m)
• Step 6: lg(mn)= lg(m) +lg(n)
Answer: 1.) 180 cubic meters
2.) 302 square centimeters
3.) 16.33 centimeters
Step-by-step explanation:
1.) Volume of pyramid is bh/3
Base is 6×6 Height is 15/3
Multiply to get 180.
2.) Two sides are 5×11=55 each. Two sides are 6×11=66 each, and the two ends are each 5×6=30.
Add 55+66+30=151 then multiply 151×2=302.
3.) V=bh.
Triangular base is ab/2. Given a is 10 and base (edge of square side) is 12.
10×12/2= 60. Divide that into the given Volume: 1080cm^3
1080÷60= 16.33cm^2