Answer:
It's (E) ..................
7n - 4 = 31
move -4 to the other side
sign changes from -4 to +4
7n-4+4= 31+4
7n= 31+4
7n= 35
divide both sides by 7 to get n by itself
7n/7= 35/7
cross out 7 and 7 , divide by 7 and then becomes 1*1*n= n
n= 35/7
answer:
n= 5
The image of the triangle and the corresponding lines is needed in order to answer this question properly. That image is attached.
We are told that point P is the incenter of the triangle, and is the center point of the incircle of the triangle. The incircle is the largest circle that can be made in a triangle and is tangent to each side of the triangle. The radius of the circle is going to be a perpendicular line from point P to any side of the triangle. In the triangle shown, PZ = PY = PX, and each value is equal to the radius of the circle.
Therefore, no further calculations are required for this problem since we already know that PZ = 7 units making the radius, r = 7 units.