Respuesta :

Answer:

22

Step-by-step explanation:

Since, Point P is on line segment OQ.

[tex]\therefore O - P - Q\\\\

\therefore OP + PQ = OQ\\\\

\therefore 3x - 3 + 4x - 10 = 4x + 2\\\\

\therefore 7x - 13 = 4x + 2\\\\

\therefore 7x - 4x = 2 + 13\\\\

\therefore 3x = 15\\\\

\therefore x = \frac{15}{3}\\\\

\huge \purple {\therefore x = 5} \\\\

OQ = 4x + 2 = 4\times 5 + 2 = 20 + 2\\\\

\huge \orange {\boxed {OQ = 22}} [/tex]

Answer:

OQ=5

Step-by-step explanation:

The formula:

OP+PQ=OQ

Fill in the values for each segment using the values given:

3x-3+4x-10=4x+2

OP^   PQ^    OQ^

Simplify by adding like terms:

3x-3+4x-10=4x+2

7x-3-10=4x+2

add 13 to the right to isolate the variable:

7x-13=4x+2

   +13     +13

7x=4x+15

subtract 4x to the left to isolate the variable:

7x=4x+15

-4x -4x

3x=15

Divide both sides by 3 to get the variable by itself:

3x=15

3    3

x=5 so OQ=5