The vertex of the given modulus function is (3,-7).
Given information:
The given modulus function is,

It is required to find the vertex of the given function.
<h3>What is the vertex of a modulus function?</h3>
Modulus function is in the shape of V. The notch of V is the vertex of the function.
The given function can be defined as,

From the above function, it can be concluded that the vertex of the function should be (3,-7). Also shown in the attached image.
See the attached image.
Therefore, the vertex of the given modulus function is (3,-7).
For more details about modulus function, refer to the link:
brainly.com/question/18793028
Id take a guess and say line 1 because the rest looks correct
Answer:
X = 102
Step-by-step explanation:
41 + 37 + x = 180
78 + x = 180
X = 180 - 78 = 102
Answer: x = -30
Steps: 19 + x/2 = 4
Subtract 19 from both sides: 19 + x/2 - 19 = 4 - 19
Simplify: x/2 = 15
Multiply both sides by two: x/2 (2) = -15 (2)
Simplify: x = -30