Question

Please help me with this question ASAP.

Answer 1

UW = 67

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

Answer 2

Answer:

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

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

$\sf{UV + VW = UW}$

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

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

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

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

$\longrightarrow{ \sf{ \frac{ - 2x}{ - 2} = \frac{ - 34}{ - 2}}}$

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

Value of x = 17

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

$\sf{UW = 6x - 35 = 6 \times 17 - 35 = 67}$

UW = 67

Hope I helped!

Best regards! :D