Find the values of the variables. ​

x = 82

y = 98

z = 87

Step-by-step explanation:

By inscribed angle theorem:

x° and y° are the measures of the opposite angles of a cyclic quadrilateral.

Opposite angles of a parallelogram are supplementary.

Therefore,

x° + y° = 180°

82° + y° = 180°

y° = 180° - 82°

y° = 98°

y = 98

Similarly,

93° + z° = 180°

z° = 180° - 93°

z° = 87°

z = 87

a

b

d

step-by-step explanation:

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92