At 2: 30 p. m., cayson leaves his house and drives north to the stadium. he arrives at 5: 00 p. m. also leaving at 2: 30 p. m., his brother riley leaves his house and drives south to a lake. he arrives at 5: 30 p. m. the driving distance from the stadium to the lake is 385 mi. cayson and riley drove at the same speed. what was their speed? show your work.

Leaving the house at 2:30 pm, Cayson reaches his destination in 2.5 hours i.e at 5 pm.

Leaving the house at the same time, Riley reaches his destination in 3 hours i.e 5:30 pm

Both the destinations are opposite to each other and are 385 miles apart.

Total time taken by both the brothers is equal to 3 + 2.5 = 5.5 hours

We know,

Speed =

Speed of both the brothers is 70 miles per hour.... Answer

∠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°

answer is 144

step-by-step explanation: