Given: UR ∥ ST ∠R, ∠T right angles Prove: ∆RSU ≅ ∆TUS

It is proved that ∆ R S U ≅ ∆ T U S

Step-by-step explanation:

Compare Δ R S U & Δ T U S

∠ R = ∠ T

Side S U is common in both triangle.

So in these two triangles one angle & one side are same, so Property of similarity of triangles is satisfied. so

∆ R S U ≅ ∆ T U S

Proved.

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)