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.
Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
Area = L * B = 9 * 3 = 27 square feet
Answer:
75+32·M=X
M=Months she goes to the gym
X=Total she pays
Step-by-step explanation:
you need to variables
M= represents the amount of months she goes to the gym
X= represents the total that she paid
$75(fee)+32·M($ per month)=X(the total)
Example= 1 month
75+32·1=X
107=X-----> Total she pays
Sat + Sun = 52
Sun = Sat + 8
Sat + Sat + 8 = 52
2Sat + 8 = 52
2Sat + 8-8 = 52-8
2Sat = 44
2Sat/2 = 44/2
Sat = 22
Sun = 22 + 8
Sun = 30
Check
Sat + Sun = 52
22 + 30 = 52
52 = 52