△fgh represents an artist's initial work on a design for a new postage stamp. what must be the values of x, y, and z in order for the artist's stamp to be congruent to △abc? (2x + 5) mm (5y) mm (3z + 11) mm 35 mm 25 mm 25 mm the value of x that will result in congruent triangles is . the value of y that will result in congruent triangles is . the value of z that will result in congruent triangles is

1

Step-by-step explanation:

good job you smart son of a gun you are smarter that einstein. 7

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4