In centre is the centre of a circle that is inscribed in a triangle, called the incircle, i.e. circle is tangent to all three sides AND located inside the triangle. An incircle is roughly sketched in the accompanying diagram.
Since all radii of an incircle are equal, we have
4x-1=6x-5
Solving for x,
6x-4x=5-1
x=2
consequently, distance from incentre to each side of the triangle is
4(2)-1=7
check 6x-5=6(2)-5=7... checks.
Answers:
The value of x = 2
The distance from incentre to side of triangle is 7
The distance formula is:

We are given two points in the form (x,y), so plug in the values to the distance formula:

Next we can simplify. We know that 12-12 is 0, so we can drop it from the equation, as it will not affect our answer. Also, we know that -10-15 is -25:

The square and square root cancel each other out leaving us with 25.
The answer is 25.
200 times. Because 1000 divided of 5 is 200. You could divide it using the algorithm.
Given:
A number line from -10 to 10 with 20 tick marks.
Point D is 1 tick mark to the left of 5.
To find:
The integer value that represents point D.
Solution:
A number line from -10 to 10 with 20 tick marks. It means, each mark represents the integer values from -10 to 10.
We know that, as we move towards left on a number line the value decreases and as we move towards right the value increases.
Point D is 1 tick mark to the left of 5. It means, point D represents the integer value which is 1 less than 5.

Therefore, point D represents the integer 4.