Which set of numbers could be the lengths of the sides of a triangle. a)3,6,9 b)5,5,11 c)12,13,20 d)6,7,13 no guessing and show work you.

Answer is C. 12, 13, 20

This deals with the Triangle inequality theorem. This states that the two shortest sides ,when added together, must be greater than the largest side.

12 + 13 = 25 , which is greater than 20.

The others could not work:

A. 3 + 6 = 9 which is equal to 9

B= 5 + 5 = 10 which is less than 11

D. 6 + 7 = 13 which is equal to 13

(-5,-28)

i graphed to on desmos.

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

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m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0