Question

Pls help!!!! will give brainliest!!

Answer 1

Answer:

$x=6$

Step-by-step explanation:

Given:

$AB=3x-1\\XZ=34$

Here , A is the midpoint of XY and B is the midpoint of YZ.

Thus, we can say that AB is one-half of XZ.

To solve for x using the midpoint segment theorem, we have:

$AB=\frac{1}{2} *XZ\\3x-1=\frac{1}{2}*34$

Let's solve for x:

$3x-1=17$

Add 1 to both sides:

$3x-1+1=17+1\\3x=18$

Divide both sides by 3:

$\frac{3x}{3} = \frac{18}{3} \\\\x=6$

Answer: $x=6$                        

 

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