XY = 12a + 19, YZ = 5a + 44 and segment XY\cong≅segment YZ

Question

XY = 12a + 19, YZ = 5a + 44 and segment XY\cong≅segment YZ

Answer 1

When two line segments are congruent it means they are equal in length. Setting the two equations equal to each other we get:

12a + 19 = 5a + 44

-5a -5a

7a + 19 = 44

-19 -19

7a = 25

÷7 ÷7

a = 25/7

XY ≅ YZ ≅ 61.86