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

Which of the following about slavery in ancient Rome is correct? A.Both nobles and common people owned slaves in Rome. B. Roman slaves were often paid accor
raiz quadrada de cinco elevada a uma pontencia
The context of a piece of writing is the A. environment in which it was written. B. denotative meaning of its language. C. author’s ideas about a specific topic
How many nouns are in this sentence: Tanya ran and jumped quickly.
22. Four years ago, Samantha was three times as old as Danny. Four years fromnow, Samantha will be only twice as old as Danny. How old are they now?
What word can you spell with the letters c ,a ,y ,t ,h?
A fourteen-line poem written in iambic pentameter is called _____.
In an A-frame house, the two congruent sides each form a 76° angle with the ground. What is the angle formed at the peak by the two sides?
a car is priced at $12000. which is the better deal 10% off or $1500 cash back
Which term describes the forces acting on the car? A.balanced B.buoyant C.unbalanced D.inertial