donte ordered the plans shown to build a skateboard ramp. each unit represents one foot. he wants to keep the same slope of the ramp and extend the base of the triangle three feet. how tall will the ramp be

Step-by-step explanation:

Note that (0,0) and (3,1) are points on the ramp.

slope of ramp = (1-0)/(3-0) = ⅓

equation of ramp: y = ⅓x

If the base of triangle is extended to 9 ft, the height of the ramp will be ⅓·9 = 3 ft

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.