a is the midpoint of jm . if ja = 6x - 4 and jm = 9x + 13, find am.
the length of am is

AM = 38

Step-by-step explanation:

Since A is the midpoint of JM, then

JA = AM = 6x - 4 , and

JA + AM  = JM ← substitute values

6x - 4 + 6x - 4 = 9x + 13, that is

12x - 8 = 9x + 13 ( subtract 9x from both sides )

3x - 8 = 13 ( add 8 to both sides )

3x = 21 ( divide both sides by 3 )

x = 7

Hence

AM = 6x - 4 = (6 × 7) - 4 = 42 - 4 = 38

Step-by-step explanation:

Since A is the MIDPOINT of JM, AM is equivalent to JA, therefore you double up 6x - 4 and set that equal JM at 9x + 13:

-12x - 12x

______________________

−3x + 13 = −8

- 13 - 13

______________

−3x = −21

____ ____

−3 −3

[Plug this back into the equation of 6x - 4 to get the length of 38]

I am joyous to assist you anytime.

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step-by-step explanation: