The table shows the amounts of food collected by two homerooms. homeroom a collects 21 additional items of food. how many more items does homeroom b need to collect to have more items per student homeroom a homeroom b
students 24 16
canned food 30 22
dry food 42 24

Given: hf || jk; hg ? jg prove: fhg ? kjg to prove that the triangles are congruent by asa, which statement and reason could be used as part of the proof? fgh ? kgj because vertical angles are congruent. jkg ? hfg because vertical angles are congruent. fhg ? jkg because right angles are congruent. hfg ? kjg because alternate interior angles are congruent.

Circle a has a diameter of 7 inches, a circumference of 21.98 inches, and an area of 38.465 square inches. the diameter of circle b is 6 inches, the circumference is 18.84 inches, and the area is 28.26 square inches. part a: using the formula for circumference, solve for the value of pi for each circle. (4 points) part b: use the formula for area and solve for the value of pi for each circle. (4 points)

Since we have computer algebra systems that can solve polynomial division problems for us, why is it necessary to learn how to do these things by hand?