Question

use the figure below to answer questions #19 - 20. find the value of xy. y is the midpoint of $overline{xz}$. #19: xy = 6x - 3 and yz = 5x + 6. your answer #20: xy = 4x + 7 and yz = 8x - 1. your answer

Explanation:

Step1: Set up equation

Since Y is mid - point, $XY = YZ$. For #19, $6x−3 = 5x + 6$.

Step2: Solve for x

$6x−5x=6 + 3$, so $x = 9$.

Step3: Find XY

Substitute $x = 9$ into $XY=6x−3$, $XY=6\times9−3=51$.
For #20:

Step1: Set up equation

$4x + 7=8x−1$.

Step2: Solve for x

$8x−4x=7 + 1$, $4x=8$, $x = 2$.

Step3: Find XY

Substitute $x = 2$ into $XY = 4x+7$, $XY=4\times2+7 = 15$.

Answer:

#19: 51
#20: 15