Wayne's deli sells whole sandwiches and half sandwiches. The half sandwiches are in the shape of a triangle because they are cut diagonally. Wayne needs to order triangular-shaped containers for the half sandwiches, but he cannot find the file on his laptop that has the measurements. Wayne believes the side lengths of the containers are 9 inches, 3 inches, and 5 inches. Could those be the correct measurements?

No, those are not the correct measurements.

Step-by-step explanation:

Assuming that 9 will equal the hypotenuse we will use the Pythagorean theorem.

a = 5

b = 3

Well

So...that doesn't quite work out.

Let's change our equation to double check.

Once again, that doesn't work out.

So  the final answer is, no. Those are not the correct measurements.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

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.