Given that point M bisects segment JK, the numerical length of segment JK and segment JM are 80 and 40 respectively.
What is the numerical value of JK and JM?
Given the data in the question;
- Point M bisects segment JK.
- Segment JM = 7x + 5
- Segment MK = 8x
A bisector divides a line or angle into two equal halves.
Hence
Segment JM = Segment MK
7x + 5 = 8x
Solve for x
8x - 7x = 5
x = 5
Now, numerical value of segment JM will be;
Segment JM = 7x + 5 = 7(5) + 5 = 35 + 5 = 40
Segment JK = (7x + 5) + 8x = 7(5) + 5 + 8(5) = 80
Given that point M bisects segment JK, the numerical length of segment JK and segment JM are 80 and 40 respectively.
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