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Point J is between H and K on line segment HK. Use the given information to solve for X. Also find the length of line segment HJ.
HK = 33
HJ = 3x-4
JK = 2x+7
X= ?
The length of line segment HJ= ?

Respuesta :

williamm3246

Answer:

x=-3, so now u plug it in, 3(-3)-4=?

answer: HJ is -13.

Using line segments concepts, it is found that:

  • The value of x is 6.
  • The length of line segment HJ is 14.

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  • Point J is between H and K in a line segment HK, thus:

[tex]HK = HJ + JK[/tex]

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We are given that:

  • [tex]HK = 33[/tex]
  • [tex]HJ = 3x - 4[/tex]
  • [tex]JK = 2x + 7[/tex]

Thus, replacing into the equation, it is possible to solve for x.

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[tex]HK = HJ + JK[/tex]

[tex]33 = 3x - 4 + 2x + 7[/tex]

[tex]5x + 3 = 33[/tex]

[tex]5x = 30[/tex]

[tex]x = \frac{30}{5}[/tex]

[tex]x = 6[/tex]

The value of x is 6.

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The length of line segment HJ is:

[tex]HJ = 3x - 4 = 3(6) - 4 = 18 - 4 = 14[/tex]

A similar problem is given at https://brainly.com/question/24476050

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