The following table shows how the average constituency changes for two regional governing boards, Joshua and Salinas, when a new representative is added to each board. Joshua's
average
constituency Salinas's
average
constituency
Joshua receives
new board
member 1232 1520
Salinas receives
new board
member 1448 1333
(a) Determine the relative unfairness of an apportionment that gives a new board member to Joshua rather than to Salinas. Round to the nearest thousandth.

(b) Determine the relative unfairness of an apportionment that gives a new board member to Salinas rather than to Joshua. Round to the nearest thousandth.

(c) Using the apportionment principle, determine which regional governing board should receive the new board member.
Joshua
Salinas

i think the answer is seven, for if i'm being useless °ω°

step-by-step explanation:

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft

(2,0) and (-3,0)

step-by-step explanation: