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

Guest Sep 24, 2020

#1**0 **

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 = ?

hectictar Sep 25, 2020