Need help fast! Jeremiah is working on a model bridge. He needs to create triangular components, and he plans to use toothpicks. He finds three toothpicks of lengths 4 in., 5 in., and 2 in. Will he be able to create the triangular component with these toothpicks without modifying any of the lengths?

Yes, according to the Triangle Inequality Theorem
Yes, according to the Triangle Sum Theorem
No, according to the Triangle Inequality Theorem
No, according to the Triangle Sum Theorem

Yes, according to the Triangle Inequality Theorem

Step-by-step explanation: The Triangle Inequality Theorem is the sum of any 2 sides of a triangle must be greater than the measure of the third side. While 4+2 is greater than 5.

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

angle addition postulate

2x=56

step-by-step explanation: