Answer:
#1:
[tex]4x - 15 + 2x + 3 = 48\\\\2x + 18 = 48\\\\2x = 30\\\\x = 15[/tex]
#2:
Part 1: Solve for x
[tex]6x - 7 = 5x + 1\\\\x - 7 = 1\\\\x = 8[/tex]
Part 2: Plug in x for PQ
[tex]6(8) - 7\\\\48 - 7\\\\41[/tex]
The length of segment PQ is 41.
Part 3: Plug in x for QR
[tex]5(8) + 1\\\\40 + 1\\\\41[/tex]
The length of segment QR is 41.
Part 4: Length of PQ + length of QR = length of PR
PQ + QR = PR
41 + 41 = PR
82 = PR
The length of segment PR is 82.
