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

Answer Link

Otras preguntas

Toby has five coins. Three of the coins add up to 30p. Three of the coins add up to 40p. All the coins add up to 50p. List Tony's coins in ascending order of va
Is the study of how individuals and institutions make decisions in a world of scarce resources.
Use the map below to identify the labeled locations. Marshall Islands Papua New Guinea Indonesia Hawaii French Polinesia 1. A 2. B 3. C 4. D 5. E
If a varies directly as the square of b, and a = 4 when b = 3, find a when b = 2
What is the adjective of neat
the equation of the line in the graph is y = (blank) x+ (blank)
If xy=3 yz=6 zx=2 find x+y+z​
Larry likes skeet shooting. a clay disc is shot into the air and the participant tries to shoot it. he rarely misses, because he knows that the flight of the di
if(√14/√7-2)-(√14/√7+2)=a√7+b√2 find the values of a and b where a and b are rational numbers​
journal transactions : 1) started business on 1st january with a capital of Rs. 100000 in cash, on the same day he ope