The length of JK¯¯¯¯¯ is 12 units. What is the length of the image of the line segment after a dilation with a scale factor of 2/5? Please help fast
Multiply the scale factor with the length of segment JK
12(2/5) = (12/1)(2/5) = (122)/(15) = 24/5 = 4.8
So after applying the dilation, JK shrinks to 4.8 units
Answer: 4.8 units
Step-by-step explanation:
Given: The length of \(\overline{JK}\) is 12 units.
we know that to find the length of the image of the line segment after a dilation with a scale factor of k, we multiply the length of line by k. we get
The length of the image of the line segment after a dilation with a scale factor of 2/5=\(\frac{2}{5}\times12=\frac{24}{5}=4.8 units\)
Hence, The length of the image of the line segment after a dilation with a scale factor of 2/5=4.8 units