Question

Please help i have no clue how to this any tips appreciated:))

Answer 1

`\displaystyle PW = \underline{ \quad18 \quad}`

Explanation:

by tangent property we acquire:

`\displaystyle 3x - 6 = x + 10`

add 6 to both sides:

`\displaystyle 3x= x + 16`

cancel x from both sides:

`\displaystyle 2x= 16`

divide both sides by 2:

`\displaystyle x= 8`

so,

`\displaystyle PW = 3x - 6`

plug in the got value of x:

`\displaystyle PW = 3.8 - 6`

simplify multiplication:

`\displaystyle PW = 24- 6`

simplify Substraction:

`\displaystyle PW =18`

hence, The measure of PW is 18 unit