Answer:
42*
Step-by-step explanation:
Each triangle's angles in sum give 180 degrees. From here we add 68 and 70 to get 138, then subtract 138 from 180 to get 42, and that would be the third angle.
Tell me if I'm wrong :)
-3. 91 is the sum of -2.16 and -1.75
Answer:
![g(x)=3^{3x}+2](https://tex.z-dn.net/?f=g%28x%29%3D3%5E%7B3x%7D%2B2)
The transformation that occurs from
is compression by 3 units horizontally and shift of 4 units upwards.
Step-by-step explanation:
Given
![f(x)=3^x-2](https://tex.z-dn.net/?f=f%28x%29%3D3%5Ex-2)
Translation Rules:
![f(x)\rightarrow f(cx)](https://tex.z-dn.net/?f=f%28x%29%5Crightarrow%20f%28cx%29)
If
the function is compressed
units horizontally.
If
and
the function stretches
units horizontally.
![f(x)\rightarrow f(x)+c](https://tex.z-dn.net/?f=f%28x%29%5Crightarrow%20f%28x%29%2Bc)
If
the function shifts
units to the up.
If
the function shifts
units to the down.
Applying the rules to ![f(x)](https://tex.z-dn.net/?f=f%28x%29)
Step 1
![f(x)\rightarrow f(3x)](https://tex.z-dn.net/?f=f%28x%29%5Crightarrow%20f%283x%29)
![f(3x)=3^{3x}-2](https://tex.z-dn.net/?f=f%283x%29%3D3%5E%7B3x%7D-2)
[compressed
units horizontally]
Step 2
![f(3x)\rightarrow f(3x)+4=g(x)](https://tex.z-dn.net/?f=f%283x%29%5Crightarrow%20f%283x%29%2B4%3Dg%28x%29)
![f(3x)+4=3^{3x}-2+4](https://tex.z-dn.net/?f=f%283x%29%2B4%3D3%5E%7B3x%7D-2%2B4)
∴ ![g(x)=3^{3x}+2](https://tex.z-dn.net/?f=g%28x%29%3D3%5E%7B3x%7D%2B2)
[shifts 4 nits up]
∴ The transformation that occurs from
is compression by 3 units horizontally and shift of 4 units upwards.