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If EF - 3x - 11, FG = 4x-10, and EG - 28, find the values of x, EF, and FG. The drawing is not to scale.
X = 1. EF = 10. FG - 18
x - 1. EF = -8.FG = -6
X-7. EF = 10. FG - 18
x - 7. EF = 32.FG - 38

Respuesta :

calculista

Answer:

Part 1) [tex]x=7[/tex]

Part 2) [tex]EF=10\ units[/tex]

Part 3) [tex]FG=18\ units[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the value of x

we know that

[tex]EG=EF+FG[/tex] ---> by addition segment postulate

we have

[tex]EG=28\ units\\EF=3x-11\\FG=4x-10[/tex]

substitute

[tex]28=(3x-11)+(4x-10)[/tex]

solve for x

[tex]28=7x-21[/tex]

[tex]7x=28+21[/tex]

[tex]7x=491[/tex]

[tex]x=7[/tex]

step 2

Find the value of EF

[tex]EF=(3x-11)[/tex]

substitute the value of x

[tex]EF=3(7)-11=10\ units[/tex]

step 3

Find the value of FG

[tex]FG=(4x-10)[/tex]

substitute the value of x

[tex]FG=4(7)-10=18\ units[/tex]

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