Given: ∠XWU ≅ ∠ZVT; ∠ZTV ≅ ∠XUW; TU ≅ VW Triangles Z V T and X W U overlap and intersect at point Y. Angles Z T U and W U W are congruent. Angles Z V T and X W U are congruent. Lines segment T U and V W are congruent. A line is drawn through point Y to point S on side X W and to point R on side Z T. Another line connects points Z and X.

Which relationship in the diagram is true?

Does anyone know how to do geometryme with this problem

The distance between two cities is 368 miles. if the scale on the map is 1/4 inch=23 miles, what is the distance between the cities on the map?

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size.it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?