Answer:
z = 4.5
Step-by-step explanation:
∠B = ∠B ∠BAD = 90° - ∠B = ∠C
ΔBAD ~ ΔBCA
AB / z = BD / AB
z = AB * AB / BD = 3*3 / 2 = 4.5
Answer:
C. 7 hours
Step-by-step explanation:
Let the time for the trip out be represented by t. Then the time for the return trip is t-1. The distance was the same for both trips, so we have ...
distance = speed × time
300t = 350(t -1)
300t = 350t -350 . . . . eliminate parentheses
350 = 50t . . . . . . . . . . add 350-300t
7 = t . . . . . . divide by 50
The trip out took 7 hours.
Answer:
Step-by-step explanation:
125,000×1.05⁷ ≈ 175,888
x/.75=x-56/0.4
0.4x=.75x-42
-0.35x=-42
x=120
I set up a proportion in which x=the tank when it is 3/4 full. When the tank is 3/4 full, solving the proportion tells us the x=120 litres. 120/3=40, and 120+40 is 160, showing that a tank completely full would indeed hold 160 litres.
Hope this helps!