step-by-step explanation: the budget of $500 is basically $150 plus the $5.50 and each student plus the 150 equals $500.
they are the same length
to solve this, let's draw lines ae and de. since ab = cd, gd = fa. using the pythagorean theorem, we have that ef^2 = ae^2-fa^2 and eg^2 = de^2-dg^2. because ae and de are radii of the same circle, they are equal, and since dg = fa, we can find that eg^2 = ae^2-fa^2 too, so this means that they are the same length.
i originally put fa switched, so it was an acronym for a bad word. good thing i found out!
first, we need to calculate for x. since,
mp = pn
3x-4 = x+4
2x = 8
x = 4
next, we calculate for ms
ms = 2x + 2 = 10
since, ms = 2sq
10 = 2sq
sq = 5 units
therefore, the correct answer is b.