In the figure below, ∠ABC ≅ ∠DEC and ∠GFE ≅ ∠DCE. Point C is the point of intersection between segment AG and segment BD , while point E is the point of intersection between segment AG and segment DF. The figure shows a polygon comprised of three triangles, ABC, DCE, and GFE. Prove ΔABC ∼ ΔGEF. (10 points)

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?

Present age of man is 45 years, 5 years back his age was 4 times age of his son what is present age of his son?

Tony has 7/8 of a candy bar he wants to split the bar into servings that are 3/10 of the bar how many servings can he make. step by step? ?