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1 vote
Umm yesh its another

Umm yesh its another-example-1
User Gaddy
by
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2 Answers

1 vote

Answer:

x=6

EF=34

FG=25

Explanation:

59=8x-14+4x+1

59=12x-13

72=12x

x=6

8(6)-14

48-14

34

4(6)+1

24+1

25

User Andrey Usov
by
7.8k points
3 votes

-------------------------------------------------------------------------------------------------------------

Answer:
\textsf{x = 6; EF = 34; FG = 25}

-------------------------------------------------------------------------------------------------------------

Given:
\textsf{EF = 8x - 14, FG = 4x + 1, EG = 59}

Find:
\textsf{Determine the value of EF and FG}

Solution: In order to determine the value of EF and FG, we need to first create an equation using the given information. We know that EF is equal to 8x - 14, FG is equal to 4x + 1, and EG is equal to 59. Therefore, the equation would have the following format: EF + FG = EG

Now that we have the format, we can plug in the expressions and then simplify the equation.


  • \textsf{EF + FG = EG}

  • \textsf{(8x - 14) + (4x + 1) = 59}

Now, combine like terms on the left side of the equation.


  • \textsf{(8x + 4x) + (-14 + 1) = 59}

  • \textsf{(12x) + (-13) = 59}

After combining like terms, we can solve for x by adding 13 to both sides and then dividing both sides by 12 to isolate the x variable.


  • \textsf{(12x) + (-13 + 13) = 59 + 13}

  • \textsf{12x = 72}

  • \textsf{12x/12 = 72/12}

  • \textsf{x = 6}

Now that we have the value of x, we can plug it into the EF and FG expressions to determine what the length of the segments are.


  • \textsf{EF = 8(6) - 14}

  • \textsf{EF = 48 - 14}

  • \textsf{EF = 34}


  • \textsf{FG = 4(6) + 1}

  • \textsf{FG = 24 + 1}

  • \textsf{FG = 25}

Therefore, we know that the value of the variable x is equal to 6, the length of EF is 34 and the length of FG is 25.

User Kamil T
by
7.7k points

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