Parallelogram RSTU is shown. Ilan needs to prove that segment RS ≅ segment TU and segment RU ≅ segment TS. His proof is shown in the table below. Step Statement 1 RSTU is a parallelogram 2 Side RS || Side TU and Side RU || Side TS 3 ∠RSU≅∠TUS and ∠RUS≅∠TSU 4 Side SU ≅ Side US 5 ΔRSU≅ΔTUS 6 Side RS ≅ Side TU and Side RU ≅ Side TS Select all reasons that support one or more statements in the proof

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.