Vertical angles are equal
5x - 40 = 3x + 8
5x - 3x = 8 + 40
2x = 48
x = 48/2
x = 24
m∠ABC = 3x + 8 = 3 * 24 + 8 = 80°
(or m∠ABC = 5x - 40 = 5 * 24 - 40 = 80°)
Answer:
(f+g)(x) = 
Step-by-step explanation:
First, lets understand what (f+g)(x) means.
(f+g)(x) is when you are taking the values in the function f(x) and adding it to the values in the function g(x).
So, this is what the equation looks like when you substitute the functions in to (f+g)(x):
(f+g)(x) = 
Now, combine like terms and Simplify:
(f+g)(x) = 
This is your final answer.
Answer:
(-1,-2)
Step-by-step explanation:
Generally, the absolute value function can be expressed like so:
f(x) = y = a|x-h|+k, where vertex: (h,k)
Rewriting our function here ever so slightly gives us: y = 3|x-(-1)|+(-2)
So the vertex is at (-1,-2)
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You combine those variables, then solve.
hope that helps :) ✨