Point x is the circumcenter of triangle abc what is the length of xb? 4.2 cm 4.6 cm 4.8 cm 5.3 cm

XB ≈ 5.3 cm

Step-by-step explanation:

From the diagram :

In ΔXNC,

m∠XNC = 90°

Now, m∠XNC + m∠XNB = 180° ( Sum of angles forming a linear pair is supplementary )

⇒ 90° + m∠XNB = 180°

⇒ m∠XNB = 180° - 90°

⇒ m∠XNB = 90°

Now, in right angled ΔXNB Applying Pythagoras theorem , We have

XB² = NB² + XN²

⇒ XB² = 4.2² + 3.2²

⇒ XB² = 27.88

⇒ XB = 5.28 cm

⇒ XB ≈ 5.3 cm

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.