Nathaniel has $2 worth of dimes and quarters. He has 6 more dimes than quarters. By following the steps below, determine the number of dimes, x, and the number of quarters, y, that Nathaniel has. Determine three ways to have 6 more dimes than quarters:

Step-by-step explanation:

Equations according the given:

Solve for q by substitution:

Find the value of d:

Nathaniel has 10 dimes and 4 quarters

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.