Study the diagram of circle B. Points C, R, and V lie on circle B. The radius, BC¯¯¯¯¯¯¯¯, and the diameter, VR¯¯¯¯¯¯¯¯, are dra wn. Arc CR has a measure of 90∘. If m∠VBC=(3x+4)∘, what is the value of x?
1 answer:
Answer:
<h2>D.
x ≈ 31.3° </h2>
Step-by-step explanation:
The triangle CBV is angled triangle with right angle at ∠VBC.
Since ∠VBC = (3x-4) °
To get the value of x, we will equate the angle ∠VBC to 90°
This results into (3x-4) ° = 90
Simplifying the resulting equation;
3x-4 = 90
Adding 4 to both sides;
3x-4+4 = 90+4
3x = 94
Dividing both sides by 3
3x/3 = 94/3
x = 31.33°
x ≈ 31.3°
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