Question

Please help me with this question ASAP.

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{67}}}}}`

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

`\sf{UV + VW = UW}`

`\longrightarrow{ \sf{19 + 4x - 20 = 6x - 35}}`

`\longrightarrow{ \sf{ - 1 + 4x = 6x - 35}}`

`\longrightarrow{ \sf{4x - 6x = - 35 + 1}}`

`\longrightarrow{ \sf{ - 2x = - 34}}`

`\longrightarrow{ \sf{ ( - 2x)/( - 2) = ( - 34)/( - 2)}}`

`\longrightarrow{ \sf{x = 17}}`

Value of x = 17

Replacing / Substituting the value of x in 6x - 35 in order to find the value of UW

`\sf{UW = 6x - 35 = 6 * 17 - 35 = 67}`

UW = 67

Hope I helped!

Best regards! :D

Answer 2

UW = 67

Step-by-step explanation:

1. Find UV in terms of x.
6x - 35 - (4x - 20) = 2x - 15
2x - 15 = 19

2. Solve for x.
2x - 15 = 19
2x = 34
x = 17

3. Use the value of x to find UW.
UW = 19 + (4(17) - 20) = 67