Answer:

Step-by-step explanation:

First, we can work out 5% of our number, by multiplying it by 0.05

Now, if we add and subtract our 5% calculated from our original number, we can work out the minimum and maximum value that our final answer can be in the range of.

We can see that
is in the range of valid answers, as:

So, our final answer is:

X2 + y2 - 14x + 10y = 250
x2 -14x + 49 - 49 + y2 + 10x + 25 - 25 = 250
(x - 7)^2 - 49 + (y+5)^2 - 25 = 250
(x-7)^2 + (y+5)^2 = 250 + 49 + 25
(x-7)^2 + (y+5)^2 = 324
Therefore the radius, r
r = 324^0.5
r = 18
Answer:
The answer to your question is:
x = 13
x + 10 = 23
5x - 42 = 23
Step-by-step explanation:
Data
angle 1 = x + 10
angle 2 = 5x - 42
They are vertical angles so, they measure the same.
x + 10 = 5x -42
x - 5x = -42 - 10
- 4x = -52
x = -52/-4
x = 13
angle 1 = x + 10 = 13 + 10 = 23
angle 2 = 5x - 42 = 5(13) -42 = 65 -42 = 23
Choice A is correct
BC=DC
the two triangles share one angel C
the two triangles each have a right angle
so they are congruent according to Angle-Side_Side Theorem