Answer:
46°
Step-by-step explanation:
When secants intersect each other and a circle, the external angle (A) is half the difference of the intercepted arcs:
∠A = (arcDC -arcBC)/2
12° = (arcDC -22°)/2 . . . . . . . fill in the given numbers
24° = arcDC -22° . . . . . . . . . multiply by 2
46° = arcDC . . . . . . . . . . . . . add 22°
A number x divided by -1 is at least -4.
x / -1 ≥ -4
Multiply both sides by -1.
x ≤ 4
Remember, when multiplying or dividing by a negative, you must change the sign's direction.
~Hope I helped!~
Answer:
C. p(x) = 5x - 12.
Step-by-step explanation:
p(x) = 8x - (3x + 12) (Note you have to put the 3x+12 in parentheses).
p(x) = 8x - 3x - 12
p(x) = 5x - 12
Answer:
24 munchkins.
Step-by-step explanation:
Let C be the number of chocolate and D be number of glazed donut holes in the original box.
We are told if Jacob ate 2 chocolate munchkins, then 1/11 of the remaining Munchkins would be chocolate. We can represent this information as:

We are also told if he instead added 4 glazed Munchkins to the original box, 1/7 of the Munchkins would be chocolate. We can represent this information as:
Upon substituting C's value from equation (2) in equation (1) we will get,
Let us have a common denominator on right side of equation.


Multiplying both sides of our equation by 7, we will get,

Multiplying both sides of our equation by 11, we will get,
Therefore, the total number of Munchkins in original box is 24.