Help.. Suppose Q is the midpoint of PR

Question

asked Aug 18, 2022 27.9k views

1 Answer

Ankit Bhardwaj · Answer 1 · 2022-08-23T15:56:46+0000

Answer:

3x+41 or 38

Explanation:

If Q is the midpoint of Line PR, then lines PQ and QR add up to equal Line PR. We then get

$PQ=6x+25\\QR=16-3x\\PQ+QR=PR\\6x+25+16-3x=PR\\3x+41=PR\\$

If you want to know the exact number that PR is, we can do additional steps where PQ = QR.

$PQ=6x+25\\QR=16-3x\\PQ=QR\\6x+25=16-3x\\9x+25=16\\9x=-9\\x=-1\\\\3x+41=PR\\3(-1)+41=PR\\-3+41=PR\\38=PR\\PR=38$