1. From Andy's house to Billy's hometown you can travel by 3 roads. And to get from Billy's hometown to Willie's house you can travel by 5 roads. How many possible ways are there to travel from Andy's house to Willie's house? 2. From Dan's ranch, one road is built to get to Andy's house and two roads are built to get to Willie's house (see previous problem). How many ways are there now to get from Andy's house to Willie's house?

Step-by-step explanation:

Hello,

1. From Andy's house to Billy's hometown I can choose among 3 roads

and for each of them I can choose among 5 roads to go to Willie's house

so it means that I have 3x5= 15 ways to travel from Andy's house to Willie's house

2. From Andy's house we can still pass by Billy's house so we still have the 15 ways but now we can go from Andy's to Dan's ranch and then to Willie's house. it means we have additional 1*2 = 2 ways.

in total it gives 17 ways

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

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