Greg drove at a constant speed in a rainstorm for 282 miles. He took a break, and the rain stopped He then drove 250 mies at a spoed that was 3 miles per hour faster than his previous speed. If he drove for 11 hours, find the car's speed for each part of the trip
The rate of the car in the rain was mph.

9514 1404 393

Step-by-step explanation:

The speed during the first part of the trip can be represented by x. Then the speed during the second part is x+3 and the total time is ...

  time = distance/speed

  11 = 282/x +250/(x+3)

  11(x)(x+3) = 282(x +3) +250(x) . . . . multiply by x(x+3)

  11x^2 -499x -846 = 0 . . . . . . . put in standard form

  (11x +18)(x -47) = 0 . . . . . . . factor

  x = 47 . . . . . positive solution (makes x-47=0)

The rate of the car in the rain was 47 mph. The rate of the car after the break was 50 mph.

step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: