In the figure below, if point Q is the center of the circle and points X, Q, and W are collinear, find the following: 15. mXY + mYZ, if 23 = 100° 16. mYZ + mZW,if 21 = 25° 17. mXY + mYz + mZW 18. mXZ,if 41 = 30°, 2 = 45° %3D %3D 19. mXZ, if mWż = 100° 20. MXWZ, if mXZ= 75°

At a ski resort, the highest ski run, Hattie’s Haven, can only be accessed by taking two lifts. The first lift leaves the lodge area and travels 1200 m at an inclination of 43° to a transfer point. From the transfer point, the new lift travels 1500 m at an inclination of 53° to the top of Hattie’s Haven ski run. The resort is undergoing renovations and is planning on creating a new ski run called Giffin’s Gallop. This run would be 30 m to the right of the top of Hattie’s Haven and 40 m higher. A new lift must be installed that goes directly from the lodge area to the top of Giffin’s Gallop. Determine the angle of elevation of the lift from the lodge area to the top of Giffin’s Gallop

4.

2. Find the arca of the triangle formed by the lines 5z + y – 14 = 0, z + 7y + 38 = 0, and 9r – 5y + 2 = 0