Point P is on line segment \overline{OQ} OQ ​ . Given OQ=4x-10,OQ=4x−10, OP=2x,OP=2x, and PQ=x,PQ=x, determine the numerical length of \overline{OP}. OP .

Question

segment addition postulate (algebra)

Answer 1

According to segment addition postulate, OP +PQ = OQ

Substituting the values, we have

2x +x = 4x -10

3x = 4x -10

Subtract 3x on both sides

0 = x -10

Add 10 on both sides

10=x

OP = 2x (Given)

Substitute x =10 above

OP = 20 units

Hope this helps!