in the diagram, point Y is the midpoint of seg. XZ, XY = 3a +1, & YZ = a+9 for some constant, a. find the length of segment XZ. Pls help
+9479 Since Y is the midpoint of XZ, it must be that
the length of XY = the length of YZ
which means
3a + 1 = a + 9 Let's solve this equation for a.
Subtract a from both sides of the equation.
2a + 1 = 9
Subtract 1 from both sides of the equation.
2a = 8
Divide both sides of the equation by 2
a = 4
Now that we know what a is, we can find the length of XZ.
the length of XZ = 3a + 1 + a + 9
the length of XZ = 3(4) + 1 + 4 + 9
the length of XZ = 12 + 1 + 4 + 9
the length of XZ = ?
