3) The length of JM is 9x + 6 units, the length of JK is
5x and the length of KM is 3x +12 units. Find the
Length of JM
J
K
L
M
8

Question

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akposevictor akposevictor · Answer 1 · 2020-12-05T14:56:12+01:00

Answer:

[tex] JM = 60 units [/tex]

Step-by-step explanation:

Given:

[tex] JM = 9x + 6 [/tex]

[tex] JK = 5x [/tex]

[tex] KM = 3x + 12 [/tex]

[tex] JK + KM = JM [/tex] (segment addition postulate)

[tex] (5x) + (3x + 12) = (9x + 6) [/tex] (substitution)

Solve for x

[tex] 5x + 3x + 12 = 9x + 6 [/tex]

Collect like terms

[tex] 5x + 3x - 9x = -12 + 6 [/tex]

[tex] -x = -6 [/tex]

Divide both sides by -1

[tex] x = 6 [/tex]

[tex] JM = 9x + 6 [/tex]

Plug in the value of x

[tex] JM = 9(6) + 6 [/tex]

[tex] JM = 54 + 6 [/tex]

[tex] JM = 60 units [/tex]