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Elan Coil [88]
2 years ago
10

A is the midpoint of JM . If JA = 6x - 4 and JM = 9x + 13, find AM. The length of AM is

Mathematics
2 answers:
bagirrra123 [75]2 years ago
8 0

Answer:

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

MatroZZZ [7]2 years ago
4 0

Answer:

38 = AM

Step-by-step explanation:

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

9x + 13 = 2[6x - 4] \\  \\ 9x + 13 = 12x - 8

-12x - 12x

______________________

−3x + 13 = −8

- 13 - 13

______________

−3x = −21

____ ____

−3 −3

7 = x

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

I am joyous to assist you anytime.

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