(04.03 MC) A point M on a segment with endpoints X (1, −2) and Y (10, 3) partitions the segment in a 5:1 ratio. Find M. You must show all work to receive credit.

(05.01 MC) Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and cos ∠X = . Part A: Use complete sentences to explain the special relationship between the trigonometric ratios of triangles XYZ and ACB. You must show all work and calculations to receive full credit. (5 points) Part B: Explain how to find the measures of segments AC and AB. You must show all work and calculations to receive full credit. (5 points)

(05.02 LC) The picture below shows a right-triangle-shaped charging stand for a gaming system: Which expression shows the length of side AB?

(05.03 LC) The sail of a boat is in the shape of a right triangle. Which expression shows the length, in meters, of the sail?

(04.03 MC) Find the perimeter of a quadrilateral with vertices at C (2, 4), D (1, 1), E (5, 0), and F (3, 4). Round your answer to the nearest hundredth when necessary.

(05.03 MC) Jim is designing a seesaw for a children’s park. The seesaw should make an angle of 30° with the ground, and the maximum height to which it should rise is 2 meters, as shown below: What is the maximum length of the seesaw?

(05.01 MC) If the sin 90° = 1, then which statement is true?

(05.03 MC) A 43-foot ladder is leaning against a building and forms a 29.37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.

(05.03 HC) Charlie is watching hot air balloons. Balloon A has risen at a 50° angle. Balloon B has risen at a 78° angle. If the distance from balloon A to the ground is 1,000 feet, how far is balloon B from balloon A? Round your answer to the nearest whole number.

(05.02 MC) If sin f° = and the measure of is 24 units, what is the measure of ?