... cost $87.00 and 9% sales tax was added at the register. ms.taylor gave the cashier five $20 bills. how much change should she have received ...
Answer:
13) Is a linear function. The points form a straight line
14) Is an exponential function. The points form a curved line.
AC is a tangent so by definition, it touches the circle at exactly one point (point C) and forms a right angle at the tangency point. So angle ACO is 90 degrees
The remaining angle OAC must be 45 degrees because we need to have all three angles add to 180
45+45+90 = 90+90 = 180
Alternatively you can solve algebraically like so
(angle OAC) + (angle OCA) + (angle COA) = 180
(angle OAC) + (90 degrees) + (45 degrees) = 180
(angle OAC) + 90+45 = 180
(angle OAC) + 135 = 180
(angle OAC) + 135 - 135 = 180 - 135
angle OAC = 45 degrees
Side Note: Triangle OCA is an isosceles right triangle. It is of the template 45-45-90.
This is the work shown with the answer. I hope this helps. God bless
2x+30y=12x+17
30y=10x+17
y=(10/30)x+(17/30)
x-intercept:
0=(10/30)x+(17/30)
-17/30=(10/30)x
-17/10=x
