If OP=17 and QP=6, what is OQ? First, complete the Segment Addition Postulate for this problem.

Mathematics

1 answer:

LenaWriter [7]4 years ago

5 0

Answers:

OQ + QP = OP

OQ = 11

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Explanation:

The smaller pieces OQ and QP glue together to form the larger segment OP. This is effectively what the Segment Addition Postulate says. This only works if all three points are on the same single line segment.

We know that OP is 17, so QP = 6 adds to the other unknown piece to get 17. The other piece must be 11 units long. Algebraically you could write,

OQ + QP = OP

OQ + 6 = 17

OQ + 6-6 = 17-6 ... subtracting 6 from both sides

OQ = 11

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