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Point L is on line segment KM. Given LM = 3x + 3,
KM = 5x + 4, and
KL = 5x + 1, determine the numerical length of KM.

Answer: KM =

Point L is on line segment KM Given LM 3x 3 KM 5x 4 and KL 5x 1 determine the numerical length of KM Answer KM class=

Respuesta :

akposevictor

Answer:

KM = 4

Step-by-step explanation:

[tex] LM = 3x + 3 [/tex]

[tex] KM = 5x + 4 [/tex]

[tex] KL = 5x + 1 [/tex]

[tex] KL + LM = KM [/tex] (segment addition postulate)

[tex] (5x + 1) + (3x + 3) = 5x + 4 [/tex] (substitution)

Solve for x

[tex] 5x + 1 + 3x + 3 = 5x + 4 [/tex]

Combine like terms

[tex] 8x + 4 = 5x + 4 [/tex]

[tex] 8x + 4 - 4 = 5x + 4 - 4 [/tex]

[tex] 8x = 5x + 0 [/tex]

[tex] 8x - 5x = 0 [/tex]

[tex] 3x = 0 [/tex]

[tex] x = 0 [/tex]

[tex] KM = 5x + 4 [/tex]

Plug in the value of x

[tex] KM = 5(0) + 4 [/tex]

[tex] KM = 0 + 4 = 4 [/tex]

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