Respuesta :

we know that property of in center we get

DW = FW = EW

compare the equations and solve for x:

DW = FW

7x - 13 = 15x - 37

15x - 7x = 37 - 13

8x = 24

x=24/8

x = 3

now

DW = 7x - 13 = 7×3 - 13 = 8 units

The measure of WE is same as DW=WE = 8 units

Let's check

[tex]\\ \rm\rightarrowtail DW=EW[/tex]

[tex]\\ \rm\rightarrowtail 7x-13=15x-37[/tex]

[tex]\\ \rm\rightarrowtail 15x-7x=-13+37[/tex]

[tex]\\ \rm\rightarrowtail 8x=25[/tex]

[tex]\\ \rm\rightarrowtail x=3[/tex]

  1. WE=15(3)-37=45-37=8

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