This figure was broken into a triangle and a rectangle as shown. The base of the triangle b is
inches.

b=8in

Step-by-step explanation:

The base of the triangle is 8in because, as the shape has been split into 2 shapes, the base of the triangle is the same as the length of the rectangle.

Hope this helps :)

go hook jvc hgv cj xk jvc 6756

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