Part of a large metal sculpture will be a triangle formed by welding three bars together. the artist has four bars that measure 12 feet, 7 feet, 5 feet, and 3 feet. which bar could not be used with two of the others to form a triangle?

The 12 feet bar cannot be used with 5 feet and 3 feet bar to form a triangle.

Step-by-step explanation:

According to the Triangle Inequality theorem the sum of any two sides must be greater than or equal to the third side of the triangle.

In this case if we chose the 3 bars to be 12 feet,5 feet and 3 feet, the sum of 3 and 5 would be 8 feet which is less than the third side i.e. 12 feet which does not obey the triangle inequality theorem, hence a triangle cannot be built with these side lengths.

Therefore, the 12 feet bar cannot be used with 5 feet and 3 feet bar to form a triangle.

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^