Question

4. M is the midpoint of XY. If XM = 8-t and MY = 5t-10, find tand XY.​

Answer 1

Answer:

XY = 10

Step-by-step explanation:

By the definition of midpoint, XM would be equal to MY, so we can set both equations equal to each other;

XM = MY

8 - t = 5t - 10

=> Now add "t" to both sides of "="

8 = 6t - 10

=> add 10 from each side;

18 = 6t

=> Finally divide 6 on each side

3 = t

Now that we have the value for t, we can substitute 3 in place of "t" in any of the equation above and solve, when we have the answer, multiply it by 2 to get the value for XY.

=> 8 - 3

=> 5

=> XY = 5 * 2

=> XY = 10

Hope this helps!