Which of the three sets could not be the lengths of the sides of a triangle {6,10,12} {5,7,10} {4,4,9} {2,3,3}

The triangle theorem which represents the relationship between sides is a-b<c<a+b

First you have four sets.

1) 10-6<12<10+6 => 4< 12 < 16 true

2) 7-5<10<7+5 = 2<10<12 true

3) 4-4<9<4+4 => 0<9<8 not true

4) 3-2<3<3+2 => 1<3<5 true

The set No 3 can not form triangle.

Good luck!!!

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3