Since the three angles of a triangle add to give 180°
The the size of the largest angle 4 = 180° ×
![\frac{4}{2+3+4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B2%2B3%2B4%7D%20)
= 180° ×
∴ the size of the largest angle = 80°
Answer:
90 minutes
Step-by-step explanation:
an hour is 60 minutes+ another 30 minutes= 90
Solution: The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.
Explanation:
Let the speed of old freight train is x miles per minute and the speed of new dart express train is y miles per minute.
It is given that the speed of the dart express train is three times faster than the freight train. So, it can be written as,
....(1)
The trains are moving towards the opposite directions, therefore the distance between them is increased at the speed of
miles per minute.
![Distance=Speed\times Time](https://tex.z-dn.net/?f=Distance%3DSpeed%5Ctimes%20Time)
The distance between both train in 15 minutes is represented by
.
According to the given information the distance between trains is 30 miles in 15 minutes.
![15(x+y)=30](https://tex.z-dn.net/?f=15%28x%2By%29%3D30)
![x+y=2](https://tex.z-dn.net/?f=x%2By%3D2)
Use equation (1) and put ![y=3x](https://tex.z-dn.net/?f=y%3D3x)
![x+3x=2](https://tex.z-dn.net/?f=x%2B3x%3D2)
![4x=2](https://tex.z-dn.net/?f=4x%3D2)
![x=0.5](https://tex.z-dn.net/?f=x%3D0.5)
Put this value in equation (1), to find the value of y.
![y=3(0.5)](https://tex.z-dn.net/?f=y%3D3%280.5%29)
![y=1.5](https://tex.z-dn.net/?f=y%3D1.5)
Therefore, the The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.
First, it's worth noting that angles on a straight line sum to 180°. We can use this information to find out the value of y:
180-52-59=69
y=69°
Another rule is that the angles in a triangle sum to 180° as well. This means that we can now find out x:
63+y+x=180
63+69+x=180
180-63-69=x
x=48°
Answer:
14+16+11=41
11+14+16=41
Step-by-step explanation: