Answer:
∠ABD ≅ ∠CBE
Step-by-step explanation:
So we know that ∠ABC ≅ ∠DBE. Those angles equal the same thing. Let's represent that with x.
So does ABD = CBE?
Well we can model that with our xs.
ABD = ABC + CBD
so ABD = x + CBD
CBE = DBE + CBD
so CBE = x + CBD
Look at what we have!
x + CBD = x + CBD.
You can tell that ∠ABD ≅ ∠CBE because those given angles are equal to each other.
Or for an easier (but lazier) method, you can just look at the diagram, which is actually drawn to a reasonable scale. You can tell right off the bat that none of the other options work.
 
        
             
        
        
        
Me either just ask your teacher or use the app Socratic
        
             
        
        
        
Answer:
its B.
Step-by-step explanation:
all you have to do is y divided by x to find the constant of proportionality
so it would be two  y=2x
 
        
             
        
        
        
Answer:
50+50x
Step-by-step explanation:
they're asking you to use distributive property 
so what you have to do is multiply everything that is in the parenthesis by 10
5x10=50 
5x10x=50x
so the answer is 50+50x
have a great day :D