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2 years ago

Point P is on line segment OQ. Given OQ = 4x + 2, PQ = 4x – 10, and

Mathematics

2 answers:

Verizon [17]2 years ago

7 0

Answer:

Step-by-step explanation:

Since, Point P is on line segment OQ.

$\therefore O - P - Q\\\\\therefore OP + PQ = OQ\\\\\therefore 3x - 3 + 4x - 10 = 4x + 2\\\\\therefore 7x - 13 = 4x + 2\\\\\therefore 7x - 4x = 2 + 13\\\\\therefore 3x = 15\\\\\therefore x = \frac{15}{3}\\\\\huge \purple {\therefore x = 5} \\\\OQ = 4x + 2 = 4\times 5 + 2 = 20 + 2\\\\\huge \orange {\boxed {OQ = 22}}$

Natali5045456 [20]2 years ago

7 0

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

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