There are $3.90 worth of nickles and quarters in a piggy bank. there are 6 more quarters than nickels.

how many of each coin are in the piggy bank?

enter your answers in the boxes.

nickels and quarters

For this case, the first thing we must do is define variables.

We have then:

x: number of nickles

y: number of quarters

We now write the system of equations.

We have then:

Solving the system of equations graphically we have:

8 nickels and 14 quarters

Note: see attached image for the graphic solution.

The correct option is;

Yes, the line should be perpendicular to one of the rectangular faces

Step-by-step explanation:

A perpendicular cross-section of a triangular prism resting on a rectangular face will have a triangular cross-section section an either side of the line of the cross-section, therefore we have;

Given that the triangular prism is lying on one of the rectangular faces, the perpendicular cross-section will be represented by a line drawn along the slant height of the triangular prism, therefore the correct option is yes, the line should be perpendicular to one of the rectangular faces.