You kayak up a river at a rate of 192 feet every 2 minutes. You kayak down a river at a rate of 423 feet every 3 minutes. How much farther do you
kayak in 5 minutes on the way down the river than in 5 minutes on the way
up the river.

225 feet farther.

Step-by-step explanation:

This question can be solved using rules of three.

Up the river in 5 minutes:

You kayak up a river at a rate of 192 feet every 2 minutes. That is, a rate of 192/2 = 96 feet per minute.

So in 5 minutes, you will kayak 96*5 = 480 feet up the river.

Down the river in 5 minutes:

You kayak down a river at a rate of 423 feet every 3 minutes. That is, a rate of 423/3 = 141 feet per minute.

So, in 5 minutes, you will kayak 141*5 = 705 feet down the river.

How much farther do you kayak in 5 minutes on the way down the river than in 5 minutes on the way up the river.

706 - 480 = 225 feet farther.

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.