Answer:
1st one is 64 second one is 46
Step-by-step explanation:
For 1. Diagonals in rectangle are bisectors and equal so
[tex]15x + 19 = 2(10x + 2)[/tex]
[tex]15x + 19 = 20x + 4[/tex]
[tex]15x + 15 = 20x[/tex]
[tex]15 = 5x[/tex]
[tex]x = 3[/tex]
QN is half of PN so
[tex]10(3) + 2 = 32[/tex]
PN is 64.
AC and DB are congruent to each other. AE is half of AC so we set them equal to find
[tex]6x - 55 = 3x - 16[/tex]
[tex]6x - 39 = 3x[/tex]
[tex] - 39 = - 3x[/tex]
[tex]x = 13[/tex]
Plug it into each one
we get 23+23=46 so DB is 46
