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

Working out for 5(a+3)=8
Identify the translation of the figure with the vertices A(1,-3),B(3,2),C(-5,4),"and" D(6,-6) along the vector 〈3,-1〉.
Match the quotes with the literary devices the use paradox oxymoron
8a + 16c. What is the value of the expression when a = –5 and c = –1? Enter your answer in the box.
this/ letter/ has/ been/ your/ grandfather/ by/ written? Rearrange the sentence
3. Which linear equation represents the line graphed below? ​
write down all multiples of 6
i need help with this i’m really struggling i just don’t get it
Amy is a 9 year old patient who has a high fever, headache and an itchy rash. Although Amy usually has a good appetite, her mother says she has not been hungry
A truck with airbrakes going 55 mph would require a stopping distance of: a) more than 300 feet b) less than 100 feet c) 100 to 300 feet