High School

If OP = 17 and QP = 6, what is OQ?

First, complete the Segment Addition Postulate for this problem:
OQ + QP = OP

Fill in what you know and solve for OQ:

OQ + 6 = 17

Solve for OQ.

Answer :

Answer: Answers attached in an image.



Step-by-step explanation: Work is attached on the image.

Answer:

OQ = 11

Step-by-step explanation:

Segment Addition Postulate

If a third point B lies on a line segment with endpoints A and C, then AB + BC = AC

Given:

  • OP = 17
  • QP = 6

Q is the point on the line segment OP, so:

⇒ OQ + QP = OP

Substitute the given values of OP and QP to find OQ:

⇒ OQ + 6 = 17

⇒ OQ + 6 - 6 = 17 - 6

⇒ OQ = 11

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