Ethan has a map of his town. Three streets form a triangle. He measured the angles between the streets and the lengths of the streets on the map. He lives on street AC and knows it is 0.4 miles long. Which of the following statements are true? Select all that apply.

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

The function f(x) = 14,600(1.1)* represents the population of a town x years after it was established. what was the original population of the town?

Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. how many ways can the letters of emdangl be arranged? identify the correct unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.