In the diagram below, PSRM is a circle with centre O. SR is produced to N and MN is drawn. Let <MOS = 2x.
s
R
8.1. Name, with reasons, THREE other angles each equal
to X
82. Express S2 In terms of X.
8.3. Prove, with reasons, whether SRMO is a cyclic
quadrilateral.​

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3

step-by-step explanation:

there are 36 inches in a yard

25 : 36 = 0.69 yards (you can round to 0.70)