Please help, I am having some difficulty with this problem! The Varners live on a corner lot. Often, children cut across their lot to save walking distance. The diagram to the right represents the corner lot. The children's path is represented by a dashed line. Approximate the walking distance that is saved by cutting across their property instead of walking around the lot. right triangle, the hypotenuse is 42 feet, short leg is x and long leg is x+4
help will be very much appreciated! :)

17.262 feet

Step-by-step explanation:

Assuming they are cutting through using the hypotenuse, the distance they save is x+4+x-42, and is thus 2x-38.

The triangle can be solved using pythag to find the exact distance.

17.262 feet

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh