Answer:
By power of a point, AC⋅CB=DC⋅CE. That is, 12⋅12=6⋅(2R–6).
Then, R=15.
Answer:
The coordinates of point C are (8,8.5)
Step-by-step explanation:
The picture of the question in the attached figure
Let
----> coordinates of point C
we have that
The horizontal distance AB is equal to

The vertical distance AB is equal to

Find the horizontal coordinate of point C
we know that

so

----> equation A
----> equation B
substitute equation A in equation B



so
The x-coordinate of point C is equal to the x-coordinate of point A plus the horizontal distance between the point A and point C

Find the vertical coordinate of point C
we know that

so

----> equation A
----> equation B
substitute equation A in equation B



so
The y-coordinate of point C is equal to the y-coordinate of point A plus the vertical distance between the point A and point C

therefore
The coordinates of point C are (8,8.5)
-4 line under > SO -4 > x + 2 < 1
(-4 > x + 2) and (x + 2 < 1)
(x < -6) and (x < 1)
Now combine the ranges
x line under < SO
x < -6 is your answer
Brainliest if satisfied!!!
Answer:
73 Papers
Step-by-step explanation:
Let's start by finding out how many papers Mrs. Thiel has already graded.
56 + 49 = 105
Now, let's subtract how many papers she has already graded from how many she has to grade in total.
178 - 105 = 73
So, Mrs. Thiel has to grade 73 papers this evening.