Ajet ski with average speed of 60 mph left a pier by the river upstream. fifteen minutes after its motor broke, and it began drifting downstream for 3 hours and 45 minutes until reached another pier, which was 2 miles away down the river from the original pier. what is the rate of the current, in mph?

4.25 mph

Speed, distance, and time are related by ...

... speed = distance/time

... distance = speed · time

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If we let x represent the current speed in miles per hour, the number of miles the jet ski goes upstream is ...

... 0.25(60 -x)

The number of miles it drifts downstream is 2 more than that, or ...

... 0.25(60 -x) +2

The speed it drifts downstream is x, and that speed is equal to the distance divided by the time (3.75 hours):

... x = (0.25(60 -x) +2)/3.75

Multiplying by 3.75, we have ...

... 3.75x = 17 - 0.25x

... 4x = 17

... x = 17/4 = 4.25

The rate of the current is 4.25 miles per hour.

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

2

step-by-step explanation: