Respuesta :

hanie82

Step-by-step explanation:

[tex](2x + 23) + (9x - 5) = 11x + 18 \\ 11x + 18 = 95 \: \: \: \: 11x = 77 \\ x = 7 \\ abd = (2 \times 7) + 23 = 37 \\ dbc = (2 \times 9) - 5 = 13[/tex]

mlarsen5000

Answer:

x=7

m<ABD=37°

m<DBC=58°

Step-by-step explanation:

Add the two equations.  They need to equal 95.  Solve for x.

(2x+23)+(9x-5)=95

11x+18=95

11x=95-18

11x=77

x=7

Substitute 7 in for x to both equations to solve for the angle degrees.

m<ABD=2x+23 = 2(7)+23 = 14+23 = 37

m<DBC=9x-5 = 9(7)-5 = 63-5 = 58

CHECK: 37+58=95