Question

If EF=9x +11, FG =11, EG=130 find x

Answer 1

Answer:

x = 12

Explanation:

To find the value of x, we can use the information given in the problem.

EF = 9x + 11
FG = 11
EG = 130

The sum of EF and FG should equal EG because they form a line:

EF + FG = EG

Now, plug in the values:

(9x + 11) + 11 = 130

Combine like terms:

9x + 22 = 130

Subtract 22 from both sides:

9x = 130 - 22
9x = 108

Now, divide by 9 to isolate x:

x = 108 / 9
x = 12

So, the value of x is 12.

Answer 2

x = 12

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It is assumed that the full segment is EG and its parts are EF and FG.

According to segment addition theorem we can set up an equation:

• EG = EF + FG

Substitute the values to get:

• 130 = 9x + 11 + 11

Solve it for x:

• 130 = 9x + 22
• 9x = 130 - 22
• 9x = 108
• x = 108/9
• x = 12