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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

According to above diagram :

RT = RS + ST

that is :

  • [tex]2x + 75 = 4x + 107 + 12[/tex]

  • [tex]2x - 4x = 119 - 75[/tex]

  • [tex] - 2x = 44[/tex]

  • [tex]x = - 22[/tex]

now, RT = 2x + 75

  • [tex](2 \times - 22) + 75[/tex]

  • [tex] - 44 + 75[/tex]

  • [tex]31[/tex]

hence , RT = 31 units

cdj8498

Answer:

RT = 31

Solve for x:

[tex]x=-22[/tex]

Step-by-step explanation:

==>> The sum of the line is RST

[tex]4x+107+12=RST[/tex]

==>> Since [tex]RST = 2x + 75[/tex], the equation will newly become [tex]4x+107+12=2x+75[/tex]

--

To find [tex]4x+107[/tex], we need to find the x.

==>> [tex]x=-22[/tex]

-- Lets check our work

==>> [tex]4(-22) = -88[/tex]

[tex]-88 + 107 = 19 [RS = 19][/tex]

[tex]RS + ST = 19 + 12 =[/tex] 31

--

[tex]2(-22) = -44[/tex]

[tex]-44 + 75 =[/tex] 31

31 = 31

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