If M is the midpoint of segment XY and XM= 3x + 1 and MY=4x - 2, what is the measure of XY?
To find the measure of XY, we need to set up an equation using the information given.
We know that M is the midpoint of segment XY, which means that the distance from X to M is equal to the distance from M to Y.
So, we can set up the equation:
XM = MY
Substituting the given expressions for XM and MY, we have:
3x + 1 = 4x - 2
Now we solve for x:
3x - 4x = -2 - 1
-x = -3
Dividing both sides by -1:
x = 3
Now that we have the value of x, we can substitute it back into one of the expressions to find the measure of XY. Let's use XM = 3x + 1:
XM = 3(3) + 1
= 9 + 1
= 10
Therefore, the measure of XY is 10.
Wouldn't XM and MY have to be equal?
so, simply solve
3x + 1 = 4x - 2
then find the length