Actually Welcome to the Concept of the Similarities.
Since here, first figure is a Triangle, hence similarity of a triangle is given by ratio of it sides and make them equate,
hence for,
1.) 16/12 = x/9 ===> 4/3 = x/9 ===> x = 9*4/3 ==> x = 36/3
hence the value of x is 12 , ===> x = 12 .
2.) here,in the case of a Reactangle the relation is such that, length = 2* breadth,
hence we apply the relation,
x = 2*4.5 ===> x = 9 units.
The number of comic books is an illustration of a linear function
She had 17 comic books already.
So, we have:
Her order of 65 books contains 8 comic books per collection.
So, we have:
This is represented as:
So, we have:
Rewrite as:
Subtract 17 from both sides
Divide both sides by 8
Assume she has 97 books in her collection, then the equation would be represented as:
Subtract 17 from both sides
Divide both sides by 8
The values of b are 6 and 10.
The difference between 6 and 10 is 4
Hence, the value of b has increased by 4
Read more about linear equations at: