Answer:
The equation of circle C is ( x-5 )2 + ( y-7 )2 = 80 .
Step-by-step explanation:
<h3>
Answer: 31 degrees</h3>
This is because rotations preserve angles. The angle measures won't change. That's why angle BCD is the same as angle B'C'D'. This applies to any rotation (regardless how much you rotate), any translation, any reflection, and any dilation.
Note: dilations will change the side lengths
Answer:

Step-by-step explanation:
Notice that
.
The diagram already marks
, so we just need to find
.
and
are vertical angles, which means they are equal in measure.
Therefore,

Since there are
on each side of a line, we have the following equation:
.
Plugging in
, we have:
.
Therefore,
.
Answer:
C. The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
Step-by-step explanation:
The initial number of accidents = 5200 = Po
It increases 5% every year.
So r = 5% = 0.05
y = Po(1 + r)^x
y = 5200(1 + 0.05)^x
y = 5200(1.05)^x
This sequence is an exponential. Which is a geometric sequence.
Answer: C. The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
Thank you.
1. X=2+1/2y+1/2z
2. X=-1+2y+z
3. X=16/3-1/3y-1/3z