Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{67}}}}}[/tex]
Step-by-step explanation:
Given,
UV = 19
VW = 4x - 20
UW = 6x - 35
To find : value of UW
First, finding the value of x
Create an equation and solve for x
[tex] \sf{UV + VW = UW}[/tex]
[tex] \longrightarrow{ \sf{19 + 4x - 20 = 6x - 35}}[/tex]
[tex] \longrightarrow{ \sf{ - 1 + 4x = 6x - 35}}[/tex]
[tex] \longrightarrow{ \sf{4x - 6x = - 35 + 1}}[/tex]
[tex] \longrightarrow{ \sf{ - 2x = - 34}}[/tex]
[tex] \longrightarrow{ \sf{ \frac{ - 2x}{ - 2} = \frac{ - 34}{ - 2}}} [/tex]
[tex] \longrightarrow{ \sf{x = 17}}[/tex]
Value of x = 17
Replacing / Substituting the value of x in 6x - 35 in order to find the value of UW
[tex] \sf{UW = 6x - 35 = 6 \times 17 - 35 = 67}[/tex]
UW = 67
Hope I helped!
Best regards! :D
