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monitta
2 years ago
14

PLEASE HELP ME Point J has coordinates (10,8). The midpoint of the line segment JK is (6, 12).

Mathematics
1 answer:
Bad White [126]2 years ago
5 0

Answer:

the coordinates of point K (6, 16)

Step-by-step explanation:

Given the information:

J (0,8).

Let A is the middle point of the line segment => A ( 6, 12).

Let K (a, b)

We have the following formula:

Midpoint(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})\\ where:

J(x_{1},y_{1} )\\K(x_{2},y_{2})

Substitute all the given information, we have:

  • \frac{10+a}{2} = 6

<=> a = 2

  • \frac{8+b}{2} =12

<=> b = 16

=>  the coordinates of point K (6, 16)

Hope it will find you well.

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