Donut star bucks and donald duck
Just plug in the values for m
so the possible values for k are
when m=5

when m=7

when m=9

so the possible values for k are {4,5,6}
Answer:
diameter = m - c
Step-by-step explanation:
In ΔABC, let ∠C be the right angle. The length of the tangents from point C to the inscribed circle are "r", the radius. Then the lengths of tangents from point A are (b-r), and those from point B have length (a-r).
The sum of the lengths of the tangents from points A and B on side "c" is ...
(b-r) +(a-r) = c
(a+b) -2r = c
Now, the problem statement defines the sum of side lengths as ...
a+b = m
and, of course, the diameter (d) is 2r, so we can rewrite the above equation as ...
m -d = c
m - c = d . . . . add d-c
The diameter of the inscribed circle is the difference between the sum of leg lengths and the hypotenuse.
Answer:
The length of each side of the city is 250b
Step-by-step explanation:
Given
--- tree distance from north gate
--- movement from south gate
--- movement in west direction from (b)
See attachment for illustration
Required
Find x
To do this, we have:
--- similar triangles
So, we have the following equivalent ratios

Where:

Substitute these in the above equation


Express as fraction


Cross multiply

Open bracket

Rewrite as:

Expand

Factorize

Factor out x + 284

Split

Solve for x

x can't be negative;
So:

2 x -6 equals 0. add 6 to both sides. divide both sides by two. x equals 3