Answer:
10.75
Step-by-step explanation:
The cost of an adult ticket is £6 more than that of a child ticket, so will be shown by c+6. 
Now, we are told that the cost of four child tickets and two adult tickets is £40.50, so we can put this in an equation and solve for c:
(c+6)+(c+6)+c+c+c+c=40.50
6c+12=40.50
6c=28.50
c=4.75
so, a childs ticket is 4.75
now to find the cost of an adult ticket you add 6,
4.75 + 6 
= 10.75
 
        
             
        
        
        
<h3>
Answer:  1/2</h3>
The midsegment is always exactly half as long compared to the side it's parallel to.
Put another way, the longer side (4x+20) is twice long as the midsegment (3x).
 
        
        
        
I’ve attached a photo with the definition and my answers 
Hope this helps!
 
        
        
        
Answer:
The pattern is that each time, 8 is added. The next 2 numbers are 47, 55.
Step-by-step explanation:
7+8=15
15+8=23
23+8=31
31+8=39
39+8=47
47+8=55
 
        
             
        
        
        
You can solve this by using "similar triangles".
In triangle ABC, we are looking for side AC which is x. Side AC is similar to side DF in triangle EDF.
You can solve for side x by picking two sides in triangle ABC and their corresponding sides in triangle EDF. This is what I mean: 

Substitute for the values of AC, BC, DF and EF:


To solve for y, do the same thing. Pick two sides on triangle ABC and their corresponding sides in triangle DEF. 

Substitute for the values and solve:


We have the value x to be 5.5 units and y to be 6 units.