Question

Point P is on line segment O Q ‾ OQ ​ . Given O Q = 4 x − 10 , OQ=4x−10, O P = 2 x , OP=2x, and P Q = x , PQ=x, determine the numerical length of O P ‾ . OP .

Answer 1

Answer:

$OP=20\ units$

Step-by-step explanation:

we know that

Point P is on line segment OQ

so

$OQ=OP+PQ$ -----> by addition segment postulate

we have

$OQ=4x-10\\OP=2x \\PQ=x$

substitute the values and solve for x

$4x-10=2x+x$

$4x-10=3x$

$4x-3x=10$

$x=10$

Find the numerical length of OP

$OP=2x$

substitute the value of x

$OP=2(10)=20\ units$

Answer 2

Answer:

c

Step-by-step explanation: