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Montano1993 [528]
3 years ago
6

If m is the midpoint of segment JK, JM equals 7x minus 32, and MK equals 89 minus 4x, what is MK?

Mathematics
1 answer:
KonstantinChe [14]3 years ago
4 0

Step-by-step explanation:

Imagine this segment, given that m is the midpoint of segment JK...

      J________M________K

   JM = 7x-32        MK = 89 - 4x (given)

If m is the midpoint, then JM and MK are the same lengths (equal to each other). We can use that to first find what <em>x</em> is.

7x -32 = 89 - 4x\\

Steps to find x (we have to get x by itself):

7x - 32 + 4x = 89 - 4x  +4x

11x -32 = 89

11x -32 +32 = 89 +32

11x = 121

\frac{11x}{11} = \frac{121}{11}

x=11 (we haven't found the answer yet! we only found x)

Now that we found x, we can find segment MK. Now we know that:

MK = 89 - 4x  

x= 11

Let's plug x into the equation:

MK = 89 - 4(11)\\MK = 89- (44)\\MK = 45

Answer: MK= 45

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