Answer:
x = 25
Step-by-step explanation:
A quadrilateral is inscribed in a circle, so it is a cyclic Quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
3x + 21y = 180°.....(1)
2x + 26y = 180°.....(2)
From equations (1) & (2)
3x + 21 y = 2x + 26y
3x - 2y = 26y - 21y
x = 5y
y = 1/5 x
Plug y = 1/5 x in equation (1)
3x + 21*1/5x = 180
15x + 21x = 180*5
(Multiplying both sides by 5)
36x = 900
x = 900/36
x = 25
Answer:
Minimum: 50
Lower Quartile: 59
Median: 66
Upper Quartile: 74
Maximum: 92
Step-by-step explanation:
50, 55, 58, 60, 62, 64, 68, 70, 72, 76, 84, 92
Minimum: 50
Lower Quartile: (58 + 60)/2 = 59
Median: (64 + 68)/2 = 66
Upper Quartile: (72 + 76)/2 = 74
Maximum: 92