Please help i have no clue how to this any tips appreciated:))
1 answer:
Answer:
![\displaystyle PW = \underline{ \quad18 \quad}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20PW%20%3D%20%5Cunderline%7B%20%20%5Cquad18%20%5Cquad%7D)
Step-by-step explanation:
by tangent property we acquire:
![\displaystyle 3x - 6 = x + 10](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%203x%20-%206%20%3D%20x%20%20%2B%2010)
add 6 to both sides:
![\displaystyle 3x= x + 16](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%203x%3D%20x%20%20%2B%2016)
cancel x from both sides:
![\displaystyle 2x= 16](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%202x%3D%2016)
divide both sides by 2:
![\displaystyle x= 8](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20x%3D%208)
so,
![\displaystyle PW = 3x - 6](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20PW%20%3D%203x%20-%206)
plug in the got value of x:
![\displaystyle PW = 3.8 - 6](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20PW%20%3D%203.8%20-%206)
simplify multiplication:
![\displaystyle PW = 24- 6](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20PW%20%3D%2024-%206)
simplify Substraction:
![\displaystyle PW =18](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20PW%20%3D18)
hence, The measure of PW is 18 unit
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