rectangle wxyz was dilated using the rule $d_{z,\\frac{12}{5}}$. what is $wx$? 8 units 10 units 12 units 14…

rectangle wxyz was dilated using the rule $d_{z,\\frac{12}{5}}$. what is $wx$? 8 units 10 units 12 units 14 units

rectangle wxyz was dilated using the rule $d_{z,\\frac{12}{5}}$. what is $wx$? 8 units 10 units 12 units 14 units

Answer

Explanation:

Step1: Understand the dilation rule

Dilation rule (D_{z,\frac{12}{5}}) means the scale factor (k = \frac{12}{5}).

Step2: Apply the dilation formula

For a segment (WX) with length (l = 5), after dilation (W'X'=k\times WX). Substitute (k=\frac{12}{5}) and (WX = 5) into the formula: (W'X'=\frac{12}{5}\times5). [ \begin{align*} W'X'&=\frac{12\times5}{5}\ &=12 \end{align*} ]

Answer:

12 units