Seeing that both triangles are side by side and share a side, we know that that side of both triangles is congruent.
Then when you look at the angles, you will see that one on each triangle has one curved line. This one curved line shows that these angles are congruent.
There is then the two curved lines you can find on both triangles as well. This shows that both those angles are congruent.
With this information, you should be able to tell that two angles of the triangles are congruent, and one side of both triangles are congruent, with the order that these are shown on the triangles being an angle, then a side, then another angle, the answer would be ASA, or angle, side angle.
Answer: The answers are ![72\dfrac{6}{7},~~17\dfrac{1}{7}~\textup{minutes}.](https://tex.z-dn.net/?f=72%5Cdfrac%7B6%7D%7B7%7D%2C~~17%5Cdfrac%7B1%7D%7B7%7D~%5Ctextup%7Bminutes%7D.)
Step-by-step explanation: Given in the question that Lana completed a 10-mile race in 90 minutes by running and walking both. She usually runs at a pace of 8.5 minutes per mile and walks at a pace of 12 minutes per mile. We need to find the number of minutes for which she ran and walk throughout the race.
Let, Lana runs for 'x' miles and walks for 'y' miles. Then, we have
![x+y=10\\\\8.5x+12y=90.](https://tex.z-dn.net/?f=x%2By%3D10%5C%5C%5C%5C8.5x%2B12y%3D90.)
Multiplying the first equation by 8.5 and subtracting from the second equation, we have
![12y-8.5y=90-85\\\\\Rightarrow 3.5y=5\\\\\Rightarrow y=\dfrac{5}{3.5}\\\\\Rightarrow y=\dfrac{10}{7}.](https://tex.z-dn.net/?f=12y-8.5y%3D90-85%5C%5C%5C%5C%5CRightarrow%203.5y%3D5%5C%5C%5C%5C%5CRightarrow%20y%3D%5Cdfrac%7B5%7D%7B3.5%7D%5C%5C%5C%5C%5CRightarrow%20y%3D%5Cdfrac%7B10%7D%7B7%7D.)
Therefore,
![x=10-\dfrac{10}{7}=\dfrac{60}{7}.](https://tex.z-dn.net/?f=x%3D10-%5Cdfrac%7B10%7D%7B7%7D%3D%5Cdfrac%7B60%7D%7B7%7D.)
Thus, time for which Lana ran is
![\dfrac{60}{7}\times 8.5=\dfrac{510}{7}=72\dfrac{6}{7}~\textup{minutes}.](https://tex.z-dn.net/?f=%5Cdfrac%7B60%7D%7B7%7D%5Ctimes%208.5%3D%5Cdfrac%7B510%7D%7B7%7D%3D72%5Cdfrac%7B6%7D%7B7%7D~%5Ctextup%7Bminutes%7D.)
And, the time for which Lana walks is
![\dfrac{10}{7}\times 12=\dfrac{120}{7}=17\dfrac{1}{7}~\textup{minutes}.](https://tex.z-dn.net/?f=%5Cdfrac%7B10%7D%7B7%7D%5Ctimes%2012%3D%5Cdfrac%7B120%7D%7B7%7D%3D17%5Cdfrac%7B1%7D%7B7%7D~%5Ctextup%7Bminutes%7D.)
Thus, the answers are
![72\dfrac{6}{7},~~17\dfrac{1}{7}~\textup{minutes}.](https://tex.z-dn.net/?f=72%5Cdfrac%7B6%7D%7B7%7D%2C~~17%5Cdfrac%7B1%7D%7B7%7D~%5Ctextup%7Bminutes%7D.)
Answer:
3/2
Step-by-step explanation:
2+1=3
3*3/2=4.5
it would not make sense if it was 2/3 cuz look what u get.......
3*2/3=2
A dilation of 2 was performed (:
1. add the 4 to both sides
2. divide both sides by 3