Using a system of equations, it is found that a value of h = 4 will result in an infinite number of solutions.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
If two equations are equal, the system has infinite solutions.
In this problem, the equations are:
4x - 16 = h(x - 4).
Then:
4(x - 4) = h(x - 4).
h = 4.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
Step-by-step explanation:
<u>The two marked angles must have same value as corresponding angles:</u>
- 3x + 48 = 6x - 36
- 6x - 3x = 48 + 36
- 3x = 84
- x = 28
<u>The angle measure:</u>
Answer:
The lines are parallel.
Step-by-step explanation:
Given the lines


Writing the equations in the slope-intercept form

where m is the slope and b is the y-intercept


Thus, the slope = m₁ = -2/3
also

Thus, the slope = m₂ = -2/3
- We know that parallel lines have equal slopes
As
m₁ = m₂
Thus, the lines are parallel.