Given rst equals npq. rt = 7x-5 nq = 5x+11 find the length of rt and nq

Given :

As it is not given whether RST and NPQ are collinear points or vertices of Triangle.

Whatever , if these two shapes are congruent , then their corresponding parts whether side length or Part or whole of segment will be congruent with each other.

RT = N Q  [Corresponding part of congruent shapes]

→7 x -5 = 5 x + 11

Taking variable on one side and constant on another side

7 x - 5 x = 11 + 5

2 x = 16

Dividing both sides by 2, we get

x=8

RT = 7 × 8 -5= 56 -5 =51 Units

N Q= 5 × 8 + 11= 40 + 11= 51 Units

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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