Question: Calculate the bearing of Y from Z. 135° 105° Not drawn accurately Graph: Three connected points X, Y, and Z form a triangle-like shape; X is upper-left, Y is mid-right, and Z is bottom-center. A north arrow is drawn above X, above Y, and above Z. The 135° angle is at X in the top-left area. The 105° angle is at Y in the center-right area. position_hint: top-left, top-right, center, bottom-left, bottom-right An aeroplane flies on a bearing of 055° from city F to city G. What bearing does the aeroplane need to fly on to return from city G to city F? top-center: text block with two centered sentence lines; no graph or shapes visible. Factorise x^2 + 3x − 10 Graph/text located at top-left. Here is the graph of y = x^2 - 3x - 1 What line should be drawn on the graph in order to solve x^2 - 5x + 2 = 0? Give your answer in the form y = mx + c Graph shape: an upward-opening parabola with vertex around (1.5, -3.25), crossing the y-axis at -1 and crossing the x-axis near -0.3 and 3.3, positioned center. To solve x^2 - 5x + 2 = 0 on this graph, draw the line y = 2x - 3, which intersects the parabola at the solutions. What line should you draw on the graph of y = x^2 + 8x - 3 to solve the equation x^2 + 10x - 12 = 0 graphically? Give your answer in the form y = mx + c Graph/shapes: A parabola y = x^2 + 8x - 3 is shown in the center, and to solve x^2 + 10x - 12 = 0 graphically you should draw the line y = -2x + 12, which would intersect the parabola; position_hint: center Select all of the equations below that are a correct rearrangement of x^2 + 5x - 7 = 0 x^2 + 6x - 4 = x - 3 12x + 5 = 7x + 12 - x^2 x^2 + 9x - 8 = 4x - 1 x^2 + 10x - 11 = 5x + 4 Graph/text position_hint: center; the image shows a centered multiple-choice algebra prompt with four centered equation options. Copy and complete the table of values for y = x² - 5x + 3 x -1 0 1 2 3 4 5 6 y 9 3 Copy the axes below and plot the graph of y = x² - 5x + 3 By drawing the line y = 3 on your graph, solve x² - 5x + 3 = 3 Graph shape: a parabola opening upward for y = x² - 5x + 3, with the graph area located in the bottom-center of the page; the table is at the top-center and the instruction text is in the upper-middle.

1. **Problem Statement:** Calculate the bearing of point Y from point Z given the triangle with angles 135° at X and 105° at Y. 2. **Understanding Bearings:** Bearings are measured clockwise from the north direction. We want to find the bearing from Z to Y. 3. **Triangle Angle Sum:** The sum of angles in a triangle is $$180^\circ$$. 4. **Calculate angle at Z:** $$\text{Angle at Z} = 180^\circ - 135^\circ - 105^\circ = 180^\circ - 240^\circ = -60^\circ$$ This is impossible, so re-check angles: 135° and 105° sum to 240°, which is more than 180°, so the angles given are likely exterior or not internal angles. 5. **Interpreting the problem:** Since 135° and 105° are given at X and Y respectively, and the figure is not drawn accurately, assume these are bearings or exterior angles. 6. **Calculate bearing of Y from Z:** - Bearing at X is 135°, so the line XZ is at 135° from north. - Bearing at Y is 105°, so the line YZ is at 105° from north. 7. **Bearing from Z to Y:** The bearing from Z to Y is the direction from Z to Y measured clockwise from north. 8. **Using the triangle and bearings:** Since the bearing at Y is 105°, the line YZ points towards 105° from north. The bearing from Z to Y is the reverse direction, so add or subtract 180°: $$\text{Bearing from Z to Y} = 105^\circ - 180^\circ = -75^\circ$$ Add 360° to get positive bearing: $$-75^\circ + 360^\circ = 285^\circ$$ 9. **Final answer:** The bearing of Y from Z is $$\boxed{285^\circ}$$. --- **Note:** The problem contains multiple questions, but only the first question is solved here as per instructions.