A triangle is congruent to another triangle can be because of SSS(side-side-side), ASA(angle-side-angle), SAS(side-angle-side), and AAS(angle-angle-side).
Step-by-step explanation:
845/1160 = 0.728
116.5/174 = 0.669
42.25/58 = 0.728
23.4/29 = 0.806
16.9/23.2 = 0.728
25.35/34.8 = 0.728
Hence the 2nd, 4th and 5th options are correct.
Answer:
The answer is "4.5"
Step-by-step explanation:
Given value:
![\text{time = 11:15 PM}](https://tex.z-dn.net/?f=%5Ctext%7Btime%20%3D%2011%3A15%20PM%7D)
formula:
![\to t^2=\frac{pt}{D} \times \frac{Dt}{P}\\\\_{where}\\\\\text {t= time = noon - sunrise}\\\\\text{p= pat's speed}\\\\\text{D= Dana's speed}\\](https://tex.z-dn.net/?f=%5Cto%20t%5E2%3D%5Cfrac%7Bpt%7D%7BD%7D%20%5Ctimes%20%5Cfrac%7BDt%7D%7BP%7D%5C%5C%5C%5C_%7Bwhere%7D%5C%5C%5C%5C%5Ctext%20%7Bt%3D%20time%20%3D%20noon%20-%20sunrise%7D%5C%5C%5C%5C%5Ctext%7Bp%3D%20pat%27s%20speed%7D%5C%5C%5C%5C%5Ctext%7BD%3D%20Dana%27s%20speed%7D%5C%5C)
![\to t^2= 11.25 \times 5\\\\](https://tex.z-dn.net/?f=%5Cto%20t%5E2%3D%2011.25%20%5Ctimes%205%5C%5C%5C%5C)
![= 56.25\\\\](https://tex.z-dn.net/?f=%3D%2056.25%5C%5C%5C%5C)
![\to t= 7.5](https://tex.z-dn.net/?f=%5Cto%20t%3D%207.5)
if the sunrise value is =12
![\to sunrise = 12- 7.5](https://tex.z-dn.net/?f=%5Cto%20sunrise%20%3D%2012-%207.5)
![= 4.5](https://tex.z-dn.net/?f=%3D%204.5)
Answer:
Step-by-step explanation:
h/w=9/16
h/42=9/16
h=42(9)/16
h=23.625
It will be 3/8 in less than 24 in, but 24 was a good guess. :)