contestada

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 .

Respuesta :

calculista

Answer:

[tex]OP=20\ units[/tex]

Step-by-step explanation:

we know that

Point P is on line segment OQ

so

[tex]OQ=OP+PQ[/tex] -----> by addition segment postulate

we have

[tex]OQ=4x-10\\OP=2x \\PQ=x[/tex]

substitute the values and solve for x

[tex]4x-10=2x+x[/tex]

[tex]4x-10=3x[/tex]

[tex]4x-3x=10[/tex]

[tex]x=10[/tex]

Find the numerical length of OP

[tex]OP=2x[/tex]

substitute the value of x

[tex]OP=2(10)=20\ units[/tex]

Answer:

c

Step-by-step explanation:

Otras preguntas