Question

Segment XZ is bisected by point Y. If XY= 12x, and the measure of XZ= 18x-6, solve for x.​

Answer 1

let's bear in mind that Y is a bisecting point, so it's really cutting XZ into two equal halves.

$\bf \underset{\textit{\Large 18x-6}}{\boxed{X}\stackrel{12x}{\rule[0.35em]{14em}{0.25pt}} Y\stackrel{12x}{\rule[0.35em]{14em}{0.25pt}}\boxed{Z}} \\\\\\ 12x+12x = 18x-6\implies 24x=18x-6 \\\\\\ 6x=-6\implies x=\cfrac{-6}{6}\implies x=-1$

Answer 2

If segment XZ is bisected by point Y and XY=12x and XZ=18x-6 then the value of x=-1.

What is bisection?

Bisection means division of a line segment into two equal parts by  other line or line segment.

How to find length of line after bisection?

We know that bisector cuts line into equal parts so 2XY=XZ

2(12x)=18x-6

24x=18x-6

6x=-6

x=-1

Hence the value of x is -1 if  XZ is bisected by point Y.

Learn more bout bisectors at https://brainly.com/question/11006922

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