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  • 06-09-2022
  • Mathematics
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Segment AC has a length of 60. Find the following values.

Segment AC has a length of 60 Find the following values class=

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praisemickey06
praisemickey06 praisemickey06
  • 06-09-2022

Solution:

DG = 60

Therefore,[tex]4x - 3 + 2x + 21 = 60[/tex]

→[tex]6x+18 = 60 \\ 6x = 60 - 18[/tex]

→[tex]6x = 42[/tex]

Divide both sides by 6

→[tex]x = 7[/tex]

DO =[tex]4x - 3 [/tex]

→[tex]4(7) - 3 \\ 28 - 3[/tex]

DO [tex]= 25[/tex]

OG [tex]= 2x + 21[/tex]

→[tex]2(7) + 21 \\ 14 +21[/tex]

OG [tex]= 35[/tex]

Therefore:

[tex]x = 7[/tex]

[tex]DO = 25 ft[/tex]

[tex]OG = 35 ft[/tex]

I hope this helps

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