Answer:
∠A and ∠G is the pair of vertical angles.
Step-by-step explanation:
From the figure attached,
Two lines 'm' and 'n' are two parallel lines. These lines intersect a horizontal line 'l'.
Since, "Pair of opposite angles formed at the point of intersection are the vertical angles and equal in measure."
Therefore, Opposite angles ∠A ≅ ∠G, ∠B ≅ ∠H, ∠C ≅ ∠E and ∠D ∠F are the vertical angles.
From the given options,
∠A and ∠G is the pair representing the pair of vertical angles and thus congruent.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️



The two sides of this equation are exactly the same, so the above equation holds for any value of x , <em>thus we have infinite solution for it.</em>
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
- First, to shift the graph of
1 unit to the right, so 
- Second, to shift the graph of
4 units to the left, so 
<h2>
Explanation:</h2>
To translate the graph of a function is part of Rigid Transformations because the basic shape of the graph is unchanged



In this case, we have the graph of:

And we need to translate it to make it the graph of:

According to our rules we need:
- First, to shift the graph of
1 unit to the right, so 
- Second, to shift the graph of
4 units to the left, so 
But
is the same as
, so the previous steps can be simplified as:
- Shifting the graph of
3 unit to the left.
Below are shown those graphs:
- The blue one is

- The red one is

<h2>Learn more:</h2>
Shifting graphs: brainly.com/question/10010217
#LearnWithBrainly
Answer:
Step-by-step explanation:
54.08
Answer:
k = 11
Step-by-step explanation:
Given the points are collinear then the slopes between consecutive points are equal.
Using the slope formula
m = 
with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)
m =
=
= 
Repeat with another 2 points and equate to 
with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (k, 4)
m =
, then
=
( cross- multiply )
k - 1 = 10 ( add 1 to both sides )
k = 11