nestorjose6803 nestorjose6803
  • 25-05-2021
  • Mathematics
contestada

Consider the circle.


If points W and X are the endpoints of a diameter on the circle, what is the value of x?

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abidemiokin
abidemiokin abidemiokin
  • 30-05-2021

Answer:

x = 18

Step-by-step explanation:

Find the diagram attached

If W and X are the endpoints of a diameter on the circle, this means that arc WX is 180degres

Since the angle at the vertex is half the angle at the intercepted arcs.

<V = 1/2(arcWX)

4x+18 = 1/2*180

4x+18 = 90

4x = 90-18

4x = 72

x = 72/4

x = 18

Hence the value of x is 18

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