Given that PS is the perpendicular bisector of QR, PQ=4x+19, and PR=2x+32, identify PQ.
Answers
Answer: The answer is 45
Step-by-step explanation:
Answer:
PQ = 4x + 19
Step-by-step explanation:
From the above question,
They have given :
Given that PS is the perpendicular bisector of QR, PQ=4x+19, and PR=2x+32
To identify PQ
The perpendicular bisector of a line segment is a line that cuts the segment into two equal halves at right angles. The equation of the perpendicular bisector can be found by using the midpoint formula to find the coordinates of the midpoint of the line segment and then using the slope formula to find the slope of the perpendicular bisector.
The perpendicular bisector of a line segment with endpoints (x1, y1) and (x2, y2) has an equation of the form
y = mx + b,
where m = -(x2 - x1)/(y2 - y1) and
b = (x1 + x2)/2.
PQ = 4x + 19
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