Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and sin ∠X = .

Part A: Use complete sentences to explain the special relationship between the trigonometric ratios of triangles XYZ and ABC. You must show all work and calculations to receive full credit. (5 points)

Part B: Explain how to find the measures of segments CB and AB. You must show all work and calculations to receive full credit. (5 points)

What is the simplified form of 7 √x • 7 √x • 7 √x • 7 √x?

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?

You are designing a rectangular pet pen for your new baby puppy. you have 30 feet of fencing you would like the fencing to be 6 1/3 feet longer than the width