I need to show work..

Since the two sides of the triangle are equal and (it appears) the angle [tex]D[/tex] is bisected by [tex]DG[/tex], then we can say that [tex]EG[/tex] and [tex]GF[/tex] are equivalent.

Knowing this, we can set the two lines equal to each other and solve for [tex]x[/tex]:

[tex]2x + 11 = 14x - 37[/tex]

[tex]2x - 14x = -37 - 11[/tex]

[tex]-12x = -48[/tex]

[tex]x = 4[/tex]

Since we need to find [tex]EG[/tex], we need to plug in [tex]x = 4[/tex] into its equation:

[tex]2x + 11[/tex]

[tex]2(4) + 11[/tex]

[tex]8 + 11[/tex]

[tex]19[/tex]

Hi1315 Hi1315 · Answer 2 · 2020-04-07T12:05:42+02:00

Hi1315 Hi1315

07-04-2020

Answer:

[tex]2x + 11 = 14x - 37 \\11 + 37 = 14x - 2x \\ 48 = 12x \\ \frac{48}{12} = \frac{12x}{12} \\ 4 = x[/tex]

now let's find the value of EG

[tex]eg = 2x + 11 \\ x = 4 \\ \\ 2x + 11 \\ 2 \times 4 + 11 \\ 8 + 11 \\ = 19[/tex]

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