Answer:
C
......................................................
Answer:
x = 9
y = 6
Step-by-step explanation:
ΔABC ~ ΔPQR
Therefore, corresponding sides of these similar triangles will be in the proportional.
![\frac{AB}{PQ}=\frac{BC}{QR}= \frac{AC}{PR}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BPQ%7D%3D%5Cfrac%7BBC%7D%7BQR%7D%3D%20%5Cfrac%7BAC%7D%7BPR%7D)
![\frac{6}{x}= \frac{4}{y}= \frac{8}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7Bx%7D%3D%20%5Cfrac%7B4%7D%7By%7D%3D%20%5Cfrac%7B8%7D%7B12%7D)
![\frac{6}{x}= \frac{8}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7Bx%7D%3D%20%5Cfrac%7B8%7D%7B12%7D)
x = ![\frac{12\times 6}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B12%5Ctimes%206%7D%7B8%7D)
x = 9
Similarly, ![\frac{4}{y}= \frac{8}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7By%7D%3D%20%5Cfrac%7B8%7D%7B12%7D)
y = ![\frac{12\times 4}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B12%5Ctimes%204%7D%7B8%7D)
y = 6
Answer:
3rd option
Step-by-step explanation:
use hypotenuse method
Transformation that changes the size of a shape is referred to as dilation.
- The scale factor that moves the large triangle to the small one is 1/5
- The center of dilation is: (-1,1)
<u>The center of dilation</u>
From the diagram (see attachment), the triangles share a common vertex at (-1,1)
This means that, the center of dilation is (-1,1)
<u>The scale factor of dilation</u>
To do this, we divide the side length of the small triangle with the corresponding side of the large triangle.
From the attached image:
![\mathbf{Base\ of\ small\ triangle = 1}](https://tex.z-dn.net/?f=%5Cmathbf%7BBase%5C%20of%5C%20small%5C%20triangle%20%3D%201%7D)
![\mathbf{Base\ of\ large\ triangle = 5}](https://tex.z-dn.net/?f=%5Cmathbf%7BBase%5C%20of%5C%20large%5C%20triangle%20%3D%205%7D)
So, the scale factor (k) from large to small is:
![\mathbf{k = \frac{Base\ of\ small\ triangle}{Base\ of\ large\ triangle} }](https://tex.z-dn.net/?f=%5Cmathbf%7Bk%20%3D%20%5Cfrac%7BBase%5C%20of%5C%20small%5C%20triangle%7D%7BBase%5C%20of%5C%20large%5C%20triangle%7D%20%7D)
![\mathbf{k = \frac{1}{5} }](https://tex.z-dn.net/?f=%5Cmathbf%7Bk%20%3D%20%5Cfrac%7B1%7D%7B5%7D%20%7D)
Read more about dilation at:
brainly.com/question/13176891
Answer:Measure of angle X=140 degrees and Measure of angle Y= 94 degrees.
Step-by-step explanation: