Given the replacement values x=-3/2 and 17/6 evaluate (a) xy and (b) x÷y

(a) xy

(-3/2) • (17/6)

-51/12

(b) x ÷ y

(-3/2) ÷ (17/6)

(-3/2) • (6/17)

-18/34

-8/17

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value

secant-secant formula:

(whole secant) x (external part) =           (whole secant) x (external part)

(8+y-2) *8=                                           (y+4+6) *6

(y+6)*8 = (y+10) *6

distribute

8y+48 = 6y +60

subtract 6y from each side

2y +48 = 60

subtract 48 from each side

2y = 12

divide by 2

y = 6

sv =     (y+4+6)

sv   = 6+4+6

sv = 16