Question

1. if uw = 6x - 35, find uw.

Explanation:

Step1: Set up an equation

Since $UW = UV+VW$, we have $6x - 35=19+(4x - 20)$.

Step2: Simplify the right - hand side

$19+(4x - 20)=4x+(19 - 20)=4x - 1$. So the equation becomes $6x - 35=4x - 1$.

Step3: Isolate the variable x

Subtract $4x$ from both sides: $6x-4x - 35=4x-4x - 1$, which simplifies to $2x - 35=-1$. Then add 35 to both sides: $2x-35 + 35=-1 + 35$, so $2x=34$. Divide both sides by 2: $x = 17$.

Step4: Find UW

Substitute $x = 17$ into the expression for $UW$. $UW=6x - 35=6\times17-35=102 - 35=67$.

Answer:

67