12x +13 equal to or not equal to 12x - 6 + 8 or 12x +2
No, these expressions are not equivalent.
Hope this helps!
Answer:
Sqrt 80 = 8.94
Step-by-step explanation:
d = sqrt[(x-x)^2 + (y-y)^2]
d = sqrt [(6-2)^2 + (-9 - - 1)^2]
d = sqrt [(4)^2 + (-8)^2]
d = sqrt (16 + 64)
d = sqrt 80
d = 4 sqrt 5 = 8.94
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.
Let the number of orders Eric served be x
Eric = x
Mai = x+ 8 [Mai served 8 more than Eric]
Dean = 3x [Dean served 3 times as many as Eric]
Given that the total is 103
x + x + 8 + 3x = 103
5x + 8 = 103
5x = 103 - 8
5x = 95
x = 19
x = 19
x + 8 = 19 + 8 = 27
3x = 19 x 3 = 57
Eric served 19
Mai served 27
Dean served 57
