the hypotenuse of a 30-60-90 degree right triangle has a measure of 10. what is the measure of the shortest side

How many real and imaginary solutions does the equation x^2-3x=-2x-7 have?

Atransformation t : (x,y) (x-5,y +3) the image of a(2,-1) is

If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other. which set of triangles shows the similar triangles created by the altitude in the diagram?