(b) In the figure below, a tangent and a secant are drawn to a circle from exterior point \( U \) . Suppose that \( U G = 15 \) and \( U D = 22.5 \) . Find \( U C \) . 

\(U C = \square\)

Find the surface area of a box with no top and width \(5\) inches, length \(2 ft\) , and height \(6\) inches. Type in your work and final answer including units in the answer box. 

Quadrilateral \( A B C D \) and quadrilateral GHIJ are similar. If \( m \angle B = 103 , D A = 28 , C B = 14 \) , and IH \( = 24 \) , find \( m \angle H \) and \( J G \) . lesson 65) 

Find the number of sides of a polygon if the sum of the interior angles is equal to three times the sum of the exterior angles. 

 In \( \triangle T U V , m \angle T = 21 \) and \( m \angle V \) is one-half \( m \angle U \) . What is the measure of the angle opposite the in longest side of \( \triangle T U V \) ?

Given: \( AB = 3 , BC = 6 , CA = 7 \) 

\( GH = 1.2 , HJ = 1.4 , JG = 0.6 \) 

Complete the similarity statement if the triangles constructed with th side lengths given above are similar, otherwise choose the "Not Similar" button. 

\( \triangle CAB \sim \triangle \)