Answer:
(0,-3)
Step-by-step explanation:
Answer:
![WS=8\ units](https://tex.z-dn.net/?f=WS%3D8%5C%20units)
Step-by-step explanation:
we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal and the corresponding angles are also equal
In this problem
![\frac{TU}{TR}=\frac{UW}{RS}=\frac{TW}{TS}](https://tex.z-dn.net/?f=%5Cfrac%7BTU%7D%7BTR%7D%3D%5Cfrac%7BUW%7D%7BRS%7D%3D%5Cfrac%7BTW%7D%7BTS%7D)
we have
![TU=3\ units, RS=15\ units, TW=4\ units,TR=9\ units](https://tex.z-dn.net/?f=TU%3D3%5C%20units%2C%20RS%3D15%5C%20units%2C%20TW%3D4%5C%20units%2CTR%3D9%5C%20units)
Find the value of TS
![\frac{TU}{TR}=\frac{TW}{TS}](https://tex.z-dn.net/?f=%5Cfrac%7BTU%7D%7BTR%7D%3D%5Cfrac%7BTW%7D%7BTS%7D)
substitute
![\frac{3}{9}=\frac{4}{TS}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B9%7D%3D%5Cfrac%7B4%7D%7BTS%7D)
![TS=36/3=12\ units](https://tex.z-dn.net/?f=TS%3D36%2F3%3D12%5C%20units)
![WS=TS-TW](https://tex.z-dn.net/?f=WS%3DTS-TW)
![WS=12-4=8\ units](https://tex.z-dn.net/?f=WS%3D12-4%3D8%5C%20units)
see the attached figure to better understand the problem
Answer:
![\boxed{\frac{5}{12} \ miles}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cfrac%7B5%7D%7B12%7D%20%5C%20miles%7D)
Step-by-step explanation:
Will ran = ![1 \frac{2}{3} \ of \ a \frac{1}{4} \ miles \ track](https://tex.z-dn.net/?f=1%20%5Cfrac%7B2%7D%7B3%7D%20%5C%20of%20%5C%20a%20%5Cfrac%7B1%7D%7B4%7D%20%5C%20miles%20%5C%20track)
Will ran =
[of means to multiply]
=> ![\frac{5*1}{3*4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%2A1%7D%7B3%2A4%7D)
=> 5/12 miles