PQRS is a parallelogram Given
SR=PQ property of parallelogram
m∠S=m∠Q property of parallelogram
SP=QR property of parallelogram
XP=RY given
SP-XP=QR-RY substitution
SX=QY segment subtraction
ΔSRX is conggruent to ΔQPY SAS theorem (side-angle-side)
XR=YP CPCTC (corresponding parts of congruent triangles are congruent)
Answer:
The equilibrium point is at x = 6
Step-by-step explanation:
Given


Required
Determine the equilibrium point
The equilibrium point is determined by

Substitute values for Demand and Supply

Cross Multiply


Take positive square root of both sides

Hence;
<em>The equilibrium point is at x = 6</em>
Answer:
How though?
Step-by-step explanation:
8.5b.
7a= 5a +3b
-5a -5a
2a = 3b
/2
a= 1.5b
Solve by substitution and you get;
8.5b=8.5b
Because of the lack of constants in the equation there isn't a definite answer.
First, determine the circumference (C) of the circle, the equation,
C = 2πr
Substituting the value or the radius,
C = 2π ( 4) = 8π
The arc length is the product of the circumference and the ratio between the subtended angle and 360. The mathematical expression is already,
S = (8π) x (72 / 360) = 0.8π
Thus, the arc is 0.80π.