Willow Willow
  • 13-11-2023
  • Mathematics
High School

if N bisects QR and QP = 3x+5 and PR = 5x-19 what is x​

if N bisects QR and QP 3x 5 and PR 5x 19 what is x

Answer :

lhaugustineajidua lhaugustineajidua
  • 06-08-2024

The value of x for the segments of line QR is 12.

A line bisector divides the given line into two equal segments, since the line n is shown to be a segment bisector of line QR, then QP is equal to RP. We can evaluate for the value of x as follows:

5x - 19 = 3x + 5

collecting like terms together we get:

5x - 3x = 19 + 5

2x = 24

Dividing through by 2 we have x value as:

x = 24/2

x = 12.

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