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