ItsSyd
ItsSyd ItsSyd
  • 02-03-2020
  • Mathematics
contestada

Rectangle QRST, find x and y with QT=3x-10, RS=2y, and TS= 4y

Rectangle QRST find x and y with QT3x10 RS2y and TS 4y class=

Respuesta :

jimrgrant1 jimrgrant1
  • 02-03-2020

Answer:

x = 4, y = 1

Step-by-step explanation:

The opposite sides of a rectangle are congruent , thus

x = 4y → (1)

3x - 10 = 2y → (2)

Substitute x = 4y into (2)

3(4y) - 10 = 2y, that is

12y - 10 = 2y ( subtract 2y from both sides )

10y - 10 = 0 ( add 10 to both sides )

10y = 10 ( divide both sides by 10 )

y = 1

Substitute y = 1 into (1)

x = 4(1) = 4

Thus x = 4 and y = 1

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