Given: TriangleSTU with Line segment S T is parallel to line segment X Y Prove: StartFraction S X Over X U EndFraction = StartFraction T Y Over Y U EndFraction Triangle S T U is cut by line segment X Y. Line segment X Y goes from side U S to side U T. Angle U Y X is 1, angle Y X U is 3, angle U T S is 2, and angle T S U is 4. Complete the steps of the proof. ♣: ♦:

Point a is located at (0, 4), and point c is located at (−3, 5). find the x value for the point b that is located one fourth the distance from point a to point c. −0.25 −0.5 −0.75 −1

Change negative exponents to positive. then solve. round to four decimal places

At the county fair, animals are judged for the quality of their breeding and health. the animal pens are arranged in an array, with one animal in each pen. a barn can hold at most 10 rows of pens and at most 6 pens in each row, with room for people to walk around them. what different ways can the planners of the county fair arrange the pens for the horses and cows in the same barn?