From marios house to school, you can walk in a straight line. in the afternoon he has to stop twice on his way home. his first stop is the gas station that is exactly halfway between the school and his house. the second stop will be at a fast- food restaurant to get something to eat. the fast-food restaurant's location partitions the way from the school to mario's house in the ratio 3: 1. the coordinates of his house are (-3,-4) and the school coordinates are (5,0)
a) find the coordinates for the gas station
b) find the coordinates of the fast food restaurant

Step-by-step explanation:

The difference in coordinates from home to school is ...

  school - home = (5, 0) - (-3, -4) = (8, 4)

The gas station is halfway between home and school, so is (8, 4)/2 = (4, 2) from home:

  gas station = home + (4, 2) = (-3, -4) + (4, 2) = (1, -2)

Similarly, the fast-food restaurant is halfway between the gas station and home, so is (4, 2)/2 = (2, 1) from home:

  fast-food = home + (2, 1) = (-3, -4) + (2, 1) = (-1, -3)

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°