Step 1. Simplify
![\frac{1}{5} (x+5)](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7D%20%28x%2B5%29)
to
![\frac{x+5}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%2B5%7D%7B5%7D%20)
Step 2. Simplify
![\frac{x+5}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%2B5%7D%7B5%7D%20)
to
![1+ \frac{x}{5}](https://tex.z-dn.net/?f=1%2B%20%5Cfrac%7Bx%7D%7B5%7D%20)
Step 3. Simplify
![\frac{1}{4} (x-3)](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20%28x-3%29)
to
![\frac{x-3}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx-3%7D%7B4%7D%20)
Step 4. Cancel
![1](https://tex.z-dn.net/?f=1)
on both sides
Step 5. Multiply both sides by
![20](https://tex.z-dn.net/?f=20)
(the LCM of
![5,4](https://tex.z-dn.net/?f=5%2C4)
)
Step 6. Expand
Step 7. Subtract
![5x](https://tex.z-dn.net/?f=5x)
from both sides
Step 8. Simplify
![4x-5x](https://tex.z-dn.net/?f=4x-5x)
to
![-x](https://tex.z-dn.net/?f=-x)
Step 9. Multiply both sides by
![-1](https://tex.z-dn.net/?f=-1)
![x=15](https://tex.z-dn.net/?f=x%3D15)
Done! :) Hope this helps! :)
Answer:
1. Domain - All real numbers
Range - y<4
first graph
2. Domain - All real numbers
range - y<8
second graph
Step-by-step explanation:
The missing step in this proof is ∠BAC ≅ ∠BDE ⇒ answer D
Step-by-step explanation:
If two triangles are similar by SAS, then their corresponding angles are
equal and the 3rd corresponding sides have constant ratio
In the two triangles ABC and DBE:
- ∠ABC ≅ ∠DBE
![\frac{AB}{DB}=\frac{BC}{BE}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BDB%7D%3D%5Cfrac%7BBC%7D%7BBE%7D)
Then the two triangles are similar
From similarity:
∠BAC ≅ ∠BDE
∠BCA ≅ ∠BED
∴ The missing step is ∠BAC ≅ ∠BDE
The missing step in this proof is ∠BAC ≅ ∠BDE
Learn more:
You can learn more about triangles in brainly.com/question/3451297
#LearnwithBrainly
10 is the answer because using the Pythagorean theorem 6^2 + 8^2 = 100. The square root of 100 would be 10