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X is the circumcenter of triangle ABC means that X is the center of the circle circumscribed to triangle ABD, as shown in the figure.
This means that All XA, XB and XC are radii of the circle with center X. Since AX and CX are 5.3 cm, then so is XB.
Answer: XB=5.3 cm.
This means that All XA, XB and XC are radii of the circle with center X. Since AX and CX are 5.3 cm, then so is XB.
Answer: XB=5.3 cm.
Answer: The contestants run for 0.55 hour and they bike for 0.565 hour.
Step-by-step explanation:
Since we have given that
Let the time taken for running be x and the time taken for biking be y
Average speed of running by Jason = 5.8 mi/h
Average speed of his bike = 20.2 mi/h
Total distance = 14.6 miles,
So, it becomes,
--------------------(1)
Average speed of running by Seth = 11.6 mi/h
Average speed of his bike = 18.8 mi/hr
Total distance = 17 miles
------------------(2)
So, From Eq(1), and (2), we get that
x=0.55 and y = 0.565
Hence, the contestants run for 0.55 hour and they bike for 0.565 hour.
