Answer:
∠RPQ = 27
Step-by-step explanation:
In ΔSRQ,
∠R = 90
∠SQR = 36°
∠R + ∠SQR + ∠RSQ = 180 {Angle sum property of triangle}
90 + 36 + ∠RSQ = 180
126 + ∠RSQ = 180
∠RSQ = 180 - 126
∠RSQ = 54°
∠PSQ +∠RSQ = 180 {Linear pair}
∠PSQ + 54 = 180
∠PSQ = 180 - 54
∠PSQ = 126
In ΔPSQ,
SQ = PS ,
So, ∠SQP = ∠SPQ {Angles opposite to equal sides are equal}
∠SQP = ∠SPQ =x
∠PSQ + x +x = 180 {Angle sum property of triangle}
126 + 2x = 180
2x = 180 - 126
2x = 54
x = 54/2
x = 27
∠RPQ = 27°
Answer:
-128
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Pull terms out from of the radical,assuming positive real numbers .
The equation of a cricle is

h being the x coordinate of the given point and k being the y coordinate of the given point (r also being the radius).
Now we have to plug the points into the equation

now just simplify the the equation
Answer: Total products = 108
Step-by-step explanation: Ratio of solid to liquid products is 3:4 and there are 36 solids, so:


Pl = 27
Ratio of solid to gas is 4:5:


Pg = 45
Total products is the sum of all products:
P = Ps + Pl + Pg
P = 36 + 27 + 45
P = 108
<u>There are a total of </u><u>108</u><u> products.</u>