Suppose a triangle has sides a, b, and c, and that a²+b²> c². let theta be the measure of the angle opposite the side of length of c

The triangle is not a right triangle

is an acute angle

Step-by-step explanation:

we know that

If a²+b²>c²

then

Is an acute triangle

therefore

angle theta must be less than 90 degrees

Hence

The triangle is not a right triangle

---> is an acute angle

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.