Nick and kate can pedal around the lake 4 times as fast as tim and amy. if nick and kate go around the lake 52 times before stopping, how many more laps around the lake do tim and amy need to do before completing the same number?

39 Laps

Step-by-step explanation:

To find how many more laps Tim and Amy need to do before they complete the same number of laps as Nick and Kate, we first need to find how many laps Tim and Amy did when Nick and Kate finished 52 laps.

Since we know that Nick and Kate can pedal 4 times faster we can represent that as:

Let 4x = 52 Nick and Kate

Let x = Tim and Amy Laps

4x = 52

x = 13

So when Nick and Kate finished the 52 laps, Tim and Amy already had 13 Laps.

So to find the number of laps left, we simply subtract the number of total laps done by Nick and Kate to the number of laps that Tim and Amy currently did.

Total Laps Left = 52 - 13

Total Laps Left = 39 Laps

A: triangle PQR is transformed into triangle P'Q'R' by a scale of 1/2, because all coordinates of PQR multiple by 1/2 produce corresponding coordinates in P'Q'R'
B. when reflected across the y axis, the y values don't change, the x values become the opposites, so (-4,0), (-3,1), (1,-2)
C. No, they are not congruent. They are similar, but not congruent. A dilation produces congruent shapes. the side length of P''Q''R'' is only half of the side length of PQR