Two school buses leave the same school at the same time, but are headed in opposite directions. one bus traveled 45 miles per hour and the other bus traveled 40 miles per hour.
how long until the buses are 170 miles apart?

40 mph: 4 hours 15 minutes

45 mph: 3 hours 46 minutes 40 seconds

Step-by-step explanation:

The rate of separation = 45 + 40 = 85 mph

speed = distance / time

85 = 170 / t

t= 170/85 hour

e) none of the above because the measure of angle cba is 101°

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.