Point N divides segment MP into two segments. The length of the segment MN is 19 cm and the length of the segment NP

univerkov | June 15, 2021 | education

Point N divides segment MP into two segments. The length of the segment MN is 19 cm and the length of the segment NP is 8 cm longer than the length of the segment MN find the length of the segment MP.

The segment MN is 19 cm, and the segment NP is 8 cm larger, we find the length NP:

NP = MN + 8 = 19 + 8 = 27 (cm).

Since point N lies on the segment MP, it divides the segment MP into two parts, that is, the segment MP is equal to the sum of the lengths of the segments MN and PN:

MP = MN + NP = 19 + 27 = 46 (cm).

Answer: the length of the MP segment is 46 cm.

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