ayushiamin04 ayushiamin04
  • 02-08-2020
  • Mathematics
contestada

Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=11x−3 and CE=12−4x. Find x

Respuesta :

jimrgrant1 jimrgrant1
  • 02-08-2020

Answer:

x = 1

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, thus

AE = CE , substitute values

11x - 3 = 12 - 4x ( add 4x to both sides )

15x - 3 = 12 ( add 3 to both sides )

15x = 15 ( divide both sides by 15 )

x = 1

Answer Link

Otras preguntas

If y^8= 4 and y^7=3/x, what is the value of y in terms of x?
Estimate the angle of elevation from the trailhead to the summit.
A pizza with 2 toppings from Maria's Pizza Place costs $11.00.A pizza with 5 toppings from Maria's Pizza Place costs $14.75.Each topping at Maria's Pizza Place
Place the mouse, fruit fly, duck, and gorilla in order of their relatedness to humans, from least related to most related. a. mouse - fruit fly - duck - gorilla b
A block of mass 3 kg slides down a frictionless inclined plane of length 6 m and height 4 m. If the block is released from rest at the top of the incline, what
If 4x+5y=10 and x+3y = 8 then (5x+8y)/3=
Which technological development enabled European navigators to determine their location during the Age of Exploration? (1) lateen sail (2) astrolabe (3) cross
If 4x+5y=10 and x+3y = 8 then (5x+8y)/3=
How many prime numbers are there between 56 and 100?
If a circle is cut from a square piece of plywood, how much plywood would be left over? Use 3.14 for pi