Seth is using the figure shown below to prove the pythagorean theorem using triangle similarity
in the given triangle pqr, angle p is 90° and segment ps is perpendicular to segment qr
part a: identify a pair of similar triangles. (2 points)
part b: explain how you know the triangles from part a are similar (4 points)
part c: if rs = 4 and rq = 16, find the length of segment rp. show your work (4 points)

answer: 590

step-by-step explanation:

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.