The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation
and solve it for x: subtract 13x from both sides to get
and add 2 to both sides to get
Check: if we plug the value we found we have
So the angles are actually the same, as requested.
As per the system of linear equations concept, the solution of x is -1.282
Linear equations:
Linear equation is referred as the algebraic equation in which each term has an exponent of 1 and when graphed, the result is always a straight line.
Given,
Here we have the equations -4x - 1 = 5ˣ + 4
Now, we need to find the value of x by using the graph.
In order to plot the graph for the given linear equation,
First, we have to split the equation into two,
Like the following:
y = -4x - 1
y = 5ˣ + 4
Now, we plot the graph of both equations
Then we get the graph like the following.
Where the red line represents the equation y = -4x - 1 and the green line represents the equation y = 5ˣ + 4.
While we looking into the graph, we have identified the solution is,
x = -1.282
Therefore, the solution of x is -1.282
To know more about Linear equation here.
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