Joe biked 1 9/12 miles from home to the lake, then went some miles around the lake, and then back home Joe biked a total of 4 9/12 how many miles did joe bike around the lake

The answer to your question is 5/4 or 1 1/4

Step-by-step explanation:

Data

distance traveled from home to the lake = 1 9/12

total distance = 4 9/12

distance traveled around the lake = ?

Process

1.- Convert the mixed fractions to improper fractions

a) 1 9/12 = (12 + 9)/12 = 21/12 = 7/4

b) 4 9/12 = (48 + 9)/ 12 = 57/12 = 19/4

2.- Multiply the distance from home to the lake by two

        7/4 x 2 = 14/4 = 7/2

3.- Subtract the result of "2" from the total distance

        19/4 - 7/2 = 19/4 - 14/4 = 5/4

5.- The distance around the lake is 5/4 or 1 1/4                  

i hope this is what you were looking for.

see attached graph

60

step-by-step explanation:

every triangle measures a total of 120 degrees. you have to find angle c. we know that isosceles triangles angles are equal. 60 degrees plus 60 degrees gives you 120.