Heather drove at a constant rate. she traveled 162 miles in 33 hours. how far did she drive in 11 hours

54 mi  

Step-by-step explanation:

Heather drove 162 mi in 33 h.

          She drove x mi in   11 h.

This is a problem involving ratio-and-proportion.

162/x = 33/11

Reduce the fraction to lowest terms     162/x = 3

Multiply each side by x                           162   = 3x

Divide each side by 3                                   x = 54

Heather drove 54 mi in 11 h.

∠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°

20

step-by-step explanation: