We see two parallel lines crossed by a transversal.
The two labelled angles are alternate interior angles, hence they are equal.
The equality allows us to equate the two expressions and hence solve for x.
8x-3=5x+42
transpose terms
8x-5x=42+3
solve for x
3x=45
so x=45/3=15.
This means 5x+42=5*15+42=75+42=117 degrees.
<h2>
Answer:</h2>
(a)
(b)
(c)
<h2>
Step-by-step explanation:</h2>
We are given a function f(x) as :

(a)

We will substitute (x+h) in place of x in the function f(x) as follows:

(b)
Now on subtracting the f(x+h) obtained in part (a) with the function f(x) we have:

(c)
In this part we will divide the numerator expression which is obtained in part (b) by h to get:
B because it is between x: 4 and 6. And it is linear and decreasing
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