Answer:
x = 22.5
Step-by-step explanation:
The tangent- secant angle x is half the difference of the measures of the intercepted arcs, that is
(4x + 5 - 50 ) = x ( multiply both sides by 2 )
4x - 45 = 2x ( subtract 2x from both sides )
2x - 45 = 0 ( add 45 to both sides )
2x = 45 ( divide both sides by 2 )
x = 22.5
Using the mid-point concept, it is found that point B is located at coordinates (-6.5, 0).
<h3>What is the midpoint concept?</h3>The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.
The center is the midpoint of the two coordinates of the diameter, hence:
For the x-coordinate:
x + 0.5 = -6
x = -6.5
For the y-coordinate:
y + 6 = 6
y = 0
More can be learned about the mid-point concept at brainly.com/question/10956693
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